id	sid	tid	token	lemma	pos
hjic-833	1	1	hungarian	hungarian	ADJ
hjic-833	1	2	journal	journal	NOUN
hjic-833	1	3	of	of	ADP
hjic-833	1	4	industry	industry	NOUN
hjic-833	1	5	and	and	CCONJ
hjic-833	1	6	chemistry	chemistry	NOUN
hjic-833	1	7	vol	vol	NOUN
hjic-833	1	8	.	.	PUNCT
hjic-833	2	1	46(2	46(2	NOUN
hjic-833	2	2	)	)	PUNCT
hjic-833	3	1	pp	pp	ADV
hjic-833	3	2	.	.	PUNCT
hjic-833	4	1	47–54	47–54	NUM
hjic-833	4	2	(	(	PUNCT
hjic-833	4	3	2018	2018	NUM
hjic-833	4	4	)	)	PUNCT
hjic-833	4	5	hjic.mk.uni-pannon.hu	hjic.mk.uni-pannon.hu	NOUN
hjic-833	4	6	doi	doi	NOUN
hjic-833	4	7	:	:	PUNCT
hjic-833	4	8	10.1515	10.1515	NUM
hjic-833	4	9	/	/	SYM
hjic-833	4	10	hjic-2018	hjic-2018	NOUN
hjic-833	4	11	-	-	PUNCT
hjic-833	4	12	0018	0018	NUM
hjic-833	4	13	the	the	DET
hjic-833	4	14	initial	initial	ADJ
hjic-833	4	15	magnetic	magnetic	ADJ
hjic-833	4	16	susceptibility	susceptibility	NOUN
hjic-833	4	17	of	of	ADP
hjic-833	4	18	dense	dense	ADJ
hjic-833	4	19	aggregated	aggregate	VERB
hjic-833	4	20	dipolar	dipolar	ADJ
hjic-833	4	21	fluids	fluid	NOUN
hjic-833	4	22	sándor	sándor	PROPN
hjic-833	4	23	nagy	nagy	PROPN
hjic-833	4	24	*	*	PROPN
hjic-833	4	25	1	1	NUM
hjic-833	4	26	1institute	1institute	NUM
hjic-833	4	27	of	of	ADP
hjic-833	4	28	mechatronics	mechatronic	NOUN
hjic-833	4	29	engineering	engineering	NOUN
hjic-833	4	30	and	and	CCONJ
hjic-833	4	31	research	research	NOUN
hjic-833	4	32	,	,	PUNCT
hjic-833	4	33	university	university	NOUN
hjic-833	4	34	of	of	ADP
hjic-833	4	35	pannonia	pannonia	PROPN
hjic-833	4	36	,	,	PUNCT
hjic-833	4	37	gasparich	gasparich	PROPN
hjic-833	4	38	m.	m.	NOUN
hjic-833	4	39	u.	u.	PROPN
hjic-833	4	40	18	18	NUM
hjic-833	4	41	/	/	SYM
hjic-833	4	42	a	a	PRON
hjic-833	4	43	,	,	PUNCT
hjic-833	4	44	zalaegerszeg	zalaegerszeg	PROPN
hjic-833	4	45	,	,	PUNCT
hjic-833	4	46	h-8900	h-8900	PROPN
hjic-833	4	47	,	,	PUNCT
hjic-833	4	48	hungary	hungary	PROPN
hjic-833	4	49	to	to	PART
hjic-833	4	50	correlate	correlate	VERB
hjic-833	4	51	the	the	DET
hjic-833	4	52	dipole	dipole	NOUN
hjic-833	4	53	moment	moment	NOUN
hjic-833	4	54	and	and	CCONJ
hjic-833	4	55	density	density	NOUN
hjic-833	4	56	dependence	dependence	NOUN
hjic-833	4	57	of	of	ADP
hjic-833	4	58	the	the	DET
hjic-833	4	59	initial	initial	ADJ
hjic-833	4	60	magnetic	magnetic	ADJ
hjic-833	4	61	susceptibility	susceptibility	NOUN
hjic-833	4	62	on	on	ADP
hjic-833	4	63	the	the	DET
hjic-833	4	64	basis	basis	NOUN
hjic-833	4	65	of	of	ADP
hjic-833	4	66	the	the	DET
hjic-833	4	67	former	former	ADJ
hjic-833	4	68	related	related	ADJ
hjic-833	4	69	theories	theory	NOUN
hjic-833	4	70	and	and	CCONJ
hjic-833	4	71	the	the	DET
hjic-833	4	72	probability	probability	NOUN
hjic-833	4	73	analysis	analysis	NOUN
hjic-833	4	74	of	of	ADP
hjic-833	4	75	chain	chain	NOUN
hjic-833	4	76	formation	formation	NOUN
hjic-833	4	77	,	,	PUNCT
hjic-833	4	78	physically	physically	ADV
hjic-833	4	79	based	base	VERB
hjic-833	4	80	analytical	analytical	ADJ
hjic-833	4	81	correlation	correlation	NOUN
hjic-833	4	82	equation	equation	NOUN
hjic-833	4	83	was	be	AUX
hjic-833	4	84	derived	derive	VERB
hjic-833	4	85	.	.	PUNCT
hjic-833	5	1	after	after	SCONJ
hjic-833	5	2	the	the	DET
hjic-833	5	3	local	local	ADJ
hjic-833	5	4	magnetic	magnetic	ADJ
hjic-833	5	5	field	field	NOUN
hjic-833	5	6	strength	strength	NOUN
hjic-833	5	7	and	and	CCONJ
hjic-833	5	8	the	the	DET
hjic-833	5	9	chaining	chain	VERB
hjic-833	5	10	probability	probability	NOUN
hjic-833	5	11	between	between	ADP
hjic-833	5	12	two	two	NUM
hjic-833	5	13	particle	particle	NOUN
hjic-833	5	14	have	have	AUX
hjic-833	5	15	been	be	AUX
hjic-833	5	16	determined	determine	VERB
hjic-833	5	17	the	the	DET
hjic-833	5	18	chain	chain	NOUN
hjic-833	5	19	and	and	CCONJ
hjic-833	5	20	particle	particle	NOUN
hjic-833	5	21	distributions	distribution	NOUN
hjic-833	5	22	came	come	VERB
hjic-833	5	23	from	from	ADP
hjic-833	5	24	the	the	DET
hjic-833	5	25	geometric	geometric	ADJ
hjic-833	5	26	distribution	distribution	NOUN
hjic-833	5	27	.	.	PUNCT
hjic-833	6	1	the	the	DET
hjic-833	6	2	initial	initial	ADJ
hjic-833	6	3	magnetic	magnetic	ADJ
hjic-833	6	4	susceptibility	susceptibility	NOUN
hjic-833	6	5	was	be	AUX
hjic-833	6	6	resulted	result	VERB
hjic-833	6	7	from	from	ADP
hjic-833	6	8	the	the	DET
hjic-833	6	9	summation	summation	NOUN
hjic-833	6	10	of	of	ADP
hjic-833	6	11	langevin	langevin	PROPN
hjic-833	6	12	initial	initial	ADJ
hjic-833	6	13	susceptibility	susceptibility	NOUN
hjic-833	6	14	of	of	ADP
hjic-833	6	15	k	k	ADJ
hjic-833	6	16	-	-	PUNCT
hjic-833	6	17	length	length	NOUN
hjic-833	6	18	chains	chain	NOUN
hjic-833	6	19	.	.	PUNCT
hjic-833	7	1	two	two	NUM
hjic-833	7	2	particles	particle	NOUN
hjic-833	7	3	were	be	AUX
hjic-833	7	4	considered	consider	VERB
hjic-833	7	5	in	in	ADP
hjic-833	7	6	a	a	DET
hjic-833	7	7	chain	chain	NOUN
hjic-833	7	8	if	if	SCONJ
hjic-833	7	9	the	the	DET
hjic-833	7	10	interaction	interaction	NOUN
hjic-833	7	11	energy	energy	NOUN
hjic-833	7	12	between	between	ADP
hjic-833	7	13	them	they	PRON
hjic-833	7	14	was	be	AUX
hjic-833	7	15	below	below	ADP
hjic-833	7	16	a	a	DET
hjic-833	7	17	certain	certain	ADJ
hjic-833	7	18	limit	limit	NOUN
hjic-833	7	19	.	.	PUNCT
hjic-833	8	1	by	by	ADP
hjic-833	8	2	varying	vary	VERB
hjic-833	8	3	slightly	slightly	ADV
hjic-833	8	4	this	this	DET
hjic-833	8	5	energy	energy	NOUN
hjic-833	8	6	limit	limit	NOUN
hjic-833	8	7	around	around	ADP
hjic-833	8	8	70–75	70–75	NUM
hjic-833	8	9	%	%	NOUN
hjic-833	8	10	good	good	ADJ
hjic-833	8	11	agreement	agreement	NOUN
hjic-833	8	12	has	have	AUX
hjic-833	8	13	been	be	AUX
hjic-833	8	14	obtained	obtain	VERB
hjic-833	8	15	between	between	ADP
hjic-833	8	16	the	the	DET
hjic-833	8	17	simulation	simulation	NOUN
hjic-833	8	18	and	and	CCONJ
hjic-833	8	19	theoretical	theoretical	ADJ
hjic-833	8	20	data	datum	NOUN
hjic-833	8	21	.	.	PUNCT
hjic-833	9	1	monte	monte	PROPN
hjic-833	9	2	carlo	carlo	PROPN
hjic-833	9	3	simulations	simulation	NOUN
hjic-833	9	4	were	be	AUX
hjic-833	9	5	used	use	VERB
hjic-833	9	6	to	to	PART
hjic-833	9	7	calculate	calculate	VERB
hjic-833	9	8	the	the	DET
hjic-833	9	9	initial	initial	ADJ
hjic-833	9	10	magnetic	magnetic	ADJ
hjic-833	9	11	susceptibility	susceptibility	NOUN
hjic-833	9	12	of	of	ADP
hjic-833	9	13	dipolar	dipolar	ADJ
hjic-833	9	14	hard	hard	ADJ
hjic-833	9	15	sphere	sphere	NOUN
hjic-833	9	16	system	system	NOUN
hjic-833	9	17	at	at	ADP
hjic-833	9	18	different	different	ADJ
hjic-833	9	19	dipole	dipole	NOUN
hjic-833	9	20	moments	moment	NOUN
hjic-833	9	21	and	and	CCONJ
hjic-833	9	22	densities	density	NOUN
hjic-833	9	23	.	.	PUNCT
hjic-833	10	1	keywords	keyword	NOUN
hjic-833	10	2	:	:	PUNCT
hjic-833	10	3	dipolar	dipolar	ADJ
hjic-833	10	4	fluids	fluid	NOUN
hjic-833	10	5	,	,	PUNCT
hjic-833	10	6	initial	initial	ADJ
hjic-833	10	7	susceptibility	susceptibility	NOUN
hjic-833	10	8	,	,	PUNCT
hjic-833	10	9	monte	monte	PROPN
hjic-833	10	10	carlo	carlo	PROPN
hjic-833	10	11	simulation	simulation	PROPN
hjic-833	10	12	1	1	NUM
hjic-833	10	13	.	.	PUNCT
hjic-833	10	14	introduction	introduction	NOUN
hjic-833	10	15	the	the	DET
hjic-833	10	16	investigation	investigation	NOUN
hjic-833	10	17	of	of	ADP
hjic-833	10	18	dipolar	dipolar	ADJ
hjic-833	10	19	fluids	fluid	NOUN
hjic-833	10	20	has	have	AUX
hjic-833	10	21	been	be	AUX
hjic-833	10	22	induced	induce	VERB
hjic-833	10	23	by	by	ADP
hjic-833	10	24	the	the	DET
hjic-833	10	25	evolution	evolution	NOUN
hjic-833	10	26	of	of	ADP
hjic-833	10	27	magnetorheology	magnetorheology	NOUN
hjic-833	10	28	and	and	CCONJ
hjic-833	10	29	electrorheology	electrorheology	NOUN
hjic-833	10	30	over	over	ADP
hjic-833	10	31	the	the	DET
hjic-833	10	32	last	last	ADJ
hjic-833	10	33	two	two	NUM
hjic-833	10	34	decades	decade	NOUN
hjic-833	10	35	.	.	PUNCT
hjic-833	11	1	the	the	DET
hjic-833	11	2	viscosity	viscosity	NOUN
hjic-833	11	3	of	of	ADP
hjic-833	11	4	electrorheological	electrorheological	ADJ
hjic-833	11	5	(	(	PUNCT
hjic-833	11	6	er	er	INTJ
hjic-833	11	7	)	)	PUNCT
hjic-833	11	8	fluids	fluid	NOUN
hjic-833	11	9	increases	increase	VERB
hjic-833	11	10	dramatically	dramatically	ADV
hjic-833	11	11	due	due	ADP
hjic-833	11	12	to	to	ADP
hjic-833	11	13	an	an	DET
hjic-833	11	14	external	external	ADJ
hjic-833	11	15	electric	electric	ADJ
hjic-833	11	16	field	field	NOUN
hjic-833	11	17	.	.	PUNCT
hjic-833	12	1	er	er	INTJ
hjic-833	12	2	fluids	fluid	NOUN
hjic-833	12	3	can	can	AUX
hjic-833	12	4	be	be	AUX
hjic-833	12	5	obtained	obtain	VERB
hjic-833	12	6	by	by	ADP
hjic-833	12	7	dispersing	disperse	VERB
hjic-833	12	8	solid	solid	ADJ
hjic-833	12	9	particles	particle	NOUN
hjic-833	12	10	with	with	ADP
hjic-833	12	11	dielectric	dielectric	ADJ
hjic-833	12	12	permittivity	permittivity	NOUN
hjic-833	12	13	εp	εp	ADP
hjic-833	12	14	in	in	ADP
hjic-833	12	15	a	a	DET
hjic-833	12	16	fluid	fluid	NOUN
hjic-833	12	17	with	with	ADP
hjic-833	12	18	dielectric	dielectric	ADJ
hjic-833	12	19	permittivity	permittivity	NOUN
hjic-833	12	20	εf	εf	NOUN
hjic-833	12	21	,	,	PUNCT
hjic-833	12	22	where	where	SCONJ
hjic-833	12	23	εp	εp	ADP
hjic-833	12	24	>	>	X
hjic-833	12	25	εf	εf	PROPN
hjic-833	12	26	.	.	PUNCT
hjic-833	13	1	the	the	DET
hjic-833	13	2	dispersed	disperse	VERB
hjic-833	13	3	particles	particle	NOUN
hjic-833	13	4	are	be	AUX
hjic-833	13	5	of	of	ADP
hjic-833	13	6	between	between	ADP
hjic-833	13	7	0.1	0.1	NUM
hjic-833	13	8	mm	mm	NOUN
hjic-833	13	9	and	and	CCONJ
hjic-833	13	10	100	100	NUM
hjic-833	13	11	mm	mm	NOUN
hjic-833	13	12	in	in	ADP
hjic-833	13	13	diameter	diameter	NOUN
hjic-833	13	14	.	.	PUNCT
hjic-833	14	1	the	the	DET
hjic-833	14	2	polarized	polarize	VERB
hjic-833	14	3	particles	particle	NOUN
hjic-833	14	4	are	be	AUX
hjic-833	14	5	organized	organize	VERB
hjic-833	14	6	into	into	ADP
hjic-833	14	7	pairs	pair	NOUN
hjic-833	14	8	and	and	CCONJ
hjic-833	14	9	chains	chain	NOUN
hjic-833	14	10	.	.	PUNCT
hjic-833	15	1	the	the	DET
hjic-833	15	2	magnetic	magnetic	ADJ
hjic-833	15	3	analogy	analogy	NOUN
hjic-833	15	4	of	of	ADP
hjic-833	15	5	the	the	DET
hjic-833	15	6	phenomenon	phenomenon	NOUN
hjic-833	15	7	described	describe	VERB
hjic-833	15	8	above	above	ADV
hjic-833	15	9	is	be	AUX
hjic-833	15	10	the	the	DET
hjic-833	15	11	magnetorheological	magnetorheological	ADJ
hjic-833	15	12	(	(	PUNCT
hjic-833	15	13	mr	mr	PROPN
hjic-833	15	14	)	)	PUNCT
hjic-833	15	15	effect	effect	NOUN
hjic-833	15	16	.	.	PUNCT
hjic-833	16	1	if	if	SCONJ
hjic-833	16	2	the	the	DET
hjic-833	16	3	magnetic	magnetic	ADJ
hjic-833	16	4	permeabilities	permeability	NOUN
hjic-833	16	5	of	of	ADP
hjic-833	16	6	the	the	DET
hjic-833	16	7	liquid	liquid	NOUN
hjic-833	16	8	and	and	CCONJ
hjic-833	16	9	dispersed	disperse	VERB
hjic-833	16	10	particles	particle	NOUN
hjic-833	16	11	differ	differ	VERB
hjic-833	16	12	,	,	PUNCT
hjic-833	16	13	then	then	ADV
hjic-833	16	14	in	in	ADP
hjic-833	16	15	an	an	DET
hjic-833	16	16	external	external	ADJ
hjic-833	16	17	magnetic	magnetic	ADJ
hjic-833	16	18	field	field	NOUN
hjic-833	16	19	the	the	DET
hjic-833	16	20	particles	particle	NOUN
hjic-833	16	21	are	be	AUX
hjic-833	16	22	also	also	ADV
hjic-833	16	23	arranged	arrange	VERB
hjic-833	16	24	in	in	ADP
hjic-833	16	25	chains	chain	NOUN
hjic-833	16	26	.	.	PUNCT
hjic-833	17	1	the	the	DET
hjic-833	17	2	dispersing	disperse	VERB
hjic-833	17	3	medium	medium	NOUN
hjic-833	17	4	can	can	AUX
hjic-833	17	5	be	be	AUX
hjic-833	17	6	water	water	NOUN
hjic-833	17	7	,	,	PUNCT
hjic-833	17	8	oil	oil	NOUN
hjic-833	17	9	,	,	PUNCT
hjic-833	17	10	an	an	DET
hjic-833	17	11	organic	organic	ADJ
hjic-833	17	12	solvent	solvent	NOUN
hjic-833	17	13	,	,	PUNCT
hjic-833	17	14	etc	etc	X
hjic-833	17	15	.	.	X
hjic-833	17	16	while	while	SCONJ
hjic-833	17	17	the	the	DET
hjic-833	17	18	dispersed	disperse	VERB
hjic-833	17	19	particles	particle	NOUN
hjic-833	17	20	can	can	AUX
hjic-833	17	21	be	be	AUX
hjic-833	17	22	some	some	DET
hjic-833	17	23	kind	kind	NOUN
hjic-833	17	24	of	of	ADP
hjic-833	17	25	iron	iron	NOUN
hjic-833	17	26	oxide	oxide	NOUN
hjic-833	17	27	or	or	CCONJ
hjic-833	17	28	ferrit	ferrit	NOUN
hjic-833	17	29	.	.	PUNCT
hjic-833	18	1	in	in	ADP
hjic-833	18	2	this	this	DET
hjic-833	18	3	paper	paper	NOUN
hjic-833	18	4	,	,	PUNCT
hjic-833	18	5	the	the	DET
hjic-833	18	6	magnetic	magnetic	ADJ
hjic-833	18	7	terminology	terminology	NOUN
hjic-833	18	8	and	and	CCONJ
hjic-833	18	9	centimetregram	centimetregram	NOUN
hjic-833	18	10	-	-	PUNCT
hjic-833	18	11	second	second	NOUN
hjic-833	18	12	(	(	PUNCT
hjic-833	18	13	cgs	cgs	NOUN
hjic-833	18	14	)	)	PUNCT
hjic-833	18	15	system	system	NOUN
hjic-833	18	16	of	of	ADP
hjic-833	18	17	units	unit	NOUN
hjic-833	18	18	are	be	AUX
hjic-833	18	19	used	use	VERB
hjic-833	18	20	.	.	PUNCT
hjic-833	19	1	in	in	ADP
hjic-833	19	2	the	the	DET
hjic-833	19	3	figures	figure	NOUN
hjic-833	19	4	,	,	PUNCT
hjic-833	19	5	the	the	DET
hjic-833	19	6	reduced	reduce	VERB
hjic-833	19	7	quantities	quantity	NOUN
hjic-833	19	8	are	be	AUX
hjic-833	19	9	applied	apply	VERB
hjic-833	19	10	.	.	PUNCT
hjic-833	20	1	electroand	electroand	PROPN
hjic-833	20	2	magnetorheological	magnetorheological	ADJ
hjic-833	20	3	fluids	fluid	NOUN
hjic-833	20	4	typically	typically	ADV
hjic-833	20	5	exhibit	exhibit	VERB
hjic-833	20	6	a	a	DET
hjic-833	20	7	reduced	reduced	ADJ
hjic-833	20	8	density	density	NOUN
hjic-833	20	9	of	of	ADP
hjic-833	20	10	up	up	ADP
hjic-833	20	11	to	to	ADP
hjic-833	20	12	ρ∗	ρ∗	NOUN
hjic-833	20	13	=	=	PUNCT
hjic-833	20	14	0.4	0.4	NUM
hjic-833	20	15	(	(	PUNCT
hjic-833	20	16	where	where	SCONJ
hjic-833	20	17	ρ∗	ρ∗	PROPN
hjic-833	20	18	=	=	SYM
hjic-833	20	19	ρσ3	ρσ3	PROPN
hjic-833	20	20	;	;	PUNCT
hjic-833	20	21	ρ	ρ	PROPN
hjic-833	20	22	and	and	CCONJ
hjic-833	20	23	σ	σ	PROPN
hjic-833	20	24	are	be	AUX
hjic-833	20	25	the	the	DET
hjic-833	20	26	concentration	concentration	NOUN
hjic-833	20	27	and	and	CCONJ
hjic-833	20	28	diameter	diameter	NOUN
hjic-833	20	29	of	of	ADP
hjic-833	20	30	the	the	DET
hjic-833	20	31	suspended	suspend	VERB
hjic-833	20	32	particles	particle	NOUN
hjic-833	20	33	,	,	PUNCT
hjic-833	20	34	respectively	respectively	ADV
hjic-833	20	35	)	)	PUNCT
hjic-833	20	36	.	.	PUNCT
hjic-833	21	1	the	the	DET
hjic-833	21	2	magnetic	magnetic	ADJ
hjic-833	21	3	properties	property	NOUN
hjic-833	21	4	,	,	PUNCT
hjic-833	21	5	e.g.	e.g.	ADV
hjic-833	21	6	magnetization	magnetization	NOUN
hjic-833	21	7	curve	curve	NOUN
hjic-833	21	8	and	and	CCONJ
hjic-833	21	9	initial	initial	ADJ
hjic-833	21	10	magnetic	magnetic	ADJ
hjic-833	21	11	susceptibility	susceptibility	NOUN
hjic-833	21	12	,	,	PUNCT
hjic-833	21	13	are	be	AUX
hjic-833	21	14	well	well	ADV
hjic-833	21	15	described	describe	VERB
hjic-833	21	16	by	by	ADP
hjic-833	21	17	the	the	DET
hjic-833	21	18	various	various	ADJ
hjic-833	21	19	theories	theory	NOUN
hjic-833	21	20	within	within	ADP
hjic-833	21	21	this	this	DET
hjic-833	21	22	range	range	NOUN
hjic-833	21	23	of	of	ADP
hjic-833	21	24	reduced	reduced	ADJ
hjic-833	21	25	density	density	NOUN
hjic-833	21	26	.	.	PUNCT
hjic-833	22	1	the	the	DET
hjic-833	22	2	magnetization	magnetization	NOUN
hjic-833	22	3	m	m	VERB
hjic-833	22	4	can	can	AUX
hjic-833	22	5	be	be	AUX
hjic-833	22	6	obtained	obtain	VERB
hjic-833	22	7	by	by	ADP
hjic-833	22	8	summation	summation	NOUN
hjic-833	22	9	of	of	ADP
hjic-833	22	10	the	the	DET
hjic-833	22	11	dipole	dipole	NOUN
hjic-833	22	12	moments	moment	NOUN
hjic-833	22	13	in	in	ADP
hjic-833	22	14	the	the	DET
hjic-833	22	15	*	*	ADJ
hjic-833	22	16	correspondence	correspondence	NOUN
hjic-833	22	17	:	:	PUNCT
hjic-833	22	18	sata123.sandor@gmail.com	sata123.sandor@gmail.com	X
hjic-833	22	19	unit	unit	NOUN
hjic-833	22	20	volume	volume	NOUN
hjic-833	22	21	:	:	PUNCT
hjic-833	22	22	m	m	VERB
hjic-833	22	23	=	=	SYM
hjic-833	22	24	1	1	NUM
hjic-833	22	25	v	v	NOUN
hjic-833	22	26	∑	∑	PROPN
hjic-833	22	27	i	i	PROPN
hjic-833	22	28	mi	mi	PROPN
hjic-833	22	29	.	.	PROPN
hjic-833	22	30	(	(	PUNCT
hjic-833	22	31	1	1	X
hjic-833	22	32	)	)	PUNCT
hjic-833	22	33	in	in	ADP
hjic-833	22	34	the	the	DET
hjic-833	22	35	absence	absence	NOUN
hjic-833	22	36	of	of	ADP
hjic-833	22	37	any	any	DET
hjic-833	22	38	external	external	ADJ
hjic-833	22	39	magnetic	magnetic	ADJ
hjic-833	22	40	field	field	NOUN
hjic-833	22	41	the	the	DET
hjic-833	22	42	fluid	fluid	NOUN
hjic-833	22	43	is	be	AUX
hjic-833	22	44	isotropic	isotropic	ADJ
hjic-833	22	45	and	and	CCONJ
hjic-833	22	46	according	accord	VERB
hjic-833	22	47	to	to	ADP
hjic-833	22	48	eq	eq	PROPN
hjic-833	22	49	.	.	PROPN
hjic-833	22	50	1	1	NUM
hjic-833	22	51	the	the	DET
hjic-833	22	52	magnetization	magnetization	NOUN
hjic-833	22	53	is	be	AUX
hjic-833	22	54	zero	zero	NUM
hjic-833	22	55	.	.	PUNCT
hjic-833	23	1	when	when	SCONJ
hjic-833	23	2	any	any	DET
hjic-833	23	3	external	external	ADJ
hjic-833	23	4	magnetic	magnetic	ADJ
hjic-833	23	5	field	field	NOUN
hjic-833	23	6	is	be	AUX
hjic-833	23	7	present	present	ADJ
hjic-833	23	8	,	,	PUNCT
hjic-833	23	9	the	the	DET
hjic-833	23	10	field	field	NOUN
hjic-833	23	11	-	-	PUNCT
hjic-833	23	12	oriented	orient	VERB
hjic-833	23	13	components	component	NOUN
hjic-833	23	14	of	of	ADP
hjic-833	23	15	dipole	dipole	NOUN
hjic-833	23	16	moments	moment	NOUN
hjic-833	23	17	should	should	AUX
hjic-833	23	18	be	be	AUX
hjic-833	23	19	summarized	summarize	VERB
hjic-833	23	20	as	as	ADP
hjic-833	23	21	m	m	PROPN
hjic-833	23	22	=	=	NUM
hjic-833	23	23	ρm	ρm	PRON
hjic-833	23	24	〈	〈	PROPN
hjic-833	23	25	cos	cos	PROPN
hjic-833	23	26	θ	θ	PROPN
hjic-833	23	27	〉	〉	PROPN
hjic-833	23	28	h0	h0	NOUN
hjic-833	23	29	h0	h0	NOUN
hjic-833	23	30	,	,	PUNCT
hjic-833	23	31	(	(	PUNCT
hjic-833	23	32	2	2	X
hjic-833	23	33	)	)	PUNCT
hjic-833	23	34	where	where	SCONJ
hjic-833	23	35	h0	h0	NOUN
hjic-833	23	36	=	=	PROPN
hjic-833	23	37	|h0|	|h0|	PROPN
hjic-833	23	38	and	and	CCONJ
hjic-833	23	39	〈	〈	PROPN
hjic-833	23	40	cos	cos	PROPN
hjic-833	23	41	θ	θ	PROPN
hjic-833	23	42	〉	〉	PROPN
hjic-833	23	43	is	be	AUX
hjic-833	23	44	the	the	DET
hjic-833	23	45	ensemble	ensemble	ADJ
hjic-833	23	46	average	average	NOUN
hjic-833	23	47	of	of	ADP
hjic-833	23	48	the	the	DET
hjic-833	23	49	cosine	cosine	NOUN
hjic-833	23	50	of	of	ADP
hjic-833	23	51	the	the	DET
hjic-833	23	52	angle	angle	NOUN
hjic-833	23	53	between	between	ADP
hjic-833	23	54	mi	mi	PROPN
hjic-833	23	55	and	and	CCONJ
hjic-833	23	56	h0	h0	PROPN
hjic-833	23	57	,	,	PUNCT
hjic-833	23	58	and	and	CCONJ
hjic-833	23	59	m	m	PROPN
hjic-833	23	60	=	=	ADJ
hjic-833	23	61	|mi|	|mi|	PROPN
hjic-833	23	62	.	.	PUNCT
hjic-833	24	1	since	since	SCONJ
hjic-833	24	2	the	the	DET
hjic-833	24	3	directions	direction	NOUN
hjic-833	24	4	of	of	ADP
hjic-833	24	5	h0	h0	PROPN
hjic-833	24	6	and	and	CCONJ
hjic-833	24	7	m	m	NOUN
hjic-833	24	8	are	be	AUX
hjic-833	24	9	identical	identical	ADJ
hjic-833	24	10	,	,	PUNCT
hjic-833	24	11	vector	vector	NOUN
hjic-833	24	12	notation	notation	NOUN
hjic-833	24	13	can	can	AUX
hjic-833	24	14	be	be	AUX
hjic-833	24	15	omitted	omit	VERB
hjic-833	24	16	.	.	PUNCT
hjic-833	25	1	the	the	DET
hjic-833	25	2	initial	initial	ADJ
hjic-833	25	3	magnetic	magnetic	ADJ
hjic-833	25	4	susceptibility	susceptibility	NOUN
hjic-833	25	5	is	be	AUX
hjic-833	25	6	equal	equal	ADJ
hjic-833	25	7	to	to	ADP
hjic-833	25	8	the	the	DET
hjic-833	25	9	initial	initial	ADJ
hjic-833	25	10	gradient	gradient	NOUN
hjic-833	25	11	of	of	ADP
hjic-833	25	12	the	the	DET
hjic-833	25	13	magnetization	magnetization	NOUN
hjic-833	25	14	curve	curve	NOUN
hjic-833	25	15	χ0	χ0	PROPN
hjic-833	25	16	=	=	PUNCT
hjic-833	25	17	∂m	∂m	PROPN
hjic-833	25	18	∂h0	∂h0	ADV
hjic-833	25	19	∣∣∣∣	∣∣∣∣	PROPN
hjic-833	25	20	h0=0	h0=0	PROPN
hjic-833	25	21	.	.	PUNCT
hjic-833	26	1	(	(	PUNCT
hjic-833	26	2	3	3	X
hjic-833	26	3	)	)	PUNCT
hjic-833	26	4	in	in	ADP
hjic-833	26	5	practice	practice	NOUN
hjic-833	26	6	,	,	PUNCT
hjic-833	26	7	er	er	INTJ
hjic-833	26	8	and	and	CCONJ
hjic-833	26	9	mr	mr	PROPN
hjic-833	26	10	fluids	fluid	NOUN
hjic-833	26	11	can	can	AUX
hjic-833	26	12	be	be	AUX
hjic-833	26	13	used	use	VERB
hjic-833	26	14	for	for	ADP
hjic-833	26	15	the	the	DET
hjic-833	26	16	transmission	transmission	NOUN
hjic-833	26	17	of	of	ADP
hjic-833	26	18	torque	torque	NOUN
hjic-833	26	19	or	or	CCONJ
hjic-833	26	20	force	force	NOUN
hjic-833	26	21	,	,	PUNCT
hjic-833	26	22	in	in	ADP
hjic-833	26	23	vibration	vibration	NOUN
hjic-833	26	24	dampers	damper	NOUN
hjic-833	26	25	and	and	CCONJ
hjic-833	26	26	braking	braking	NOUN
hjic-833	26	27	systems	system	NOUN
hjic-833	26	28	,	,	PUNCT
hjic-833	26	29	etc	etc	X
hjic-833	26	30	.	.	X
hjic-833	27	1	the	the	DET
hjic-833	27	2	magnetic	magnetic	ADJ
hjic-833	27	3	properties	property	NOUN
hjic-833	27	4	generally	generally	ADV
hjic-833	27	5	are	be	AUX
hjic-833	27	6	calculated	calculate	VERB
hjic-833	27	7	from	from	ADP
hjic-833	27	8	monte	monte	PROPN
hjic-833	27	9	carlo	carlo	PROPN
hjic-833	27	10	simulations	simulation	NOUN
hjic-833	27	11	because	because	SCONJ
hjic-833	27	12	it	it	PRON
hjic-833	27	13	is	be	AUX
hjic-833	27	14	not	not	PART
hjic-833	27	15	necessary	necessary	ADJ
hjic-833	27	16	to	to	PART
hjic-833	27	17	know	know	VERB
hjic-833	27	18	the	the	DET
hjic-833	27	19	velocity	velocity	NOUN
hjic-833	27	20	and	and	CCONJ
hjic-833	27	21	acceleration	acceleration	NOUN
hjic-833	27	22	of	of	ADP
hjic-833	27	23	the	the	DET
hjic-833	27	24	particles	particle	NOUN
hjic-833	27	25	nor	nor	CCONJ
hjic-833	27	26	the	the	DET
hjic-833	27	27	forces	force	NOUN
hjic-833	27	28	between	between	ADP
hjic-833	27	29	them	they	PRON
hjic-833	27	30	.	.	PUNCT
hjic-833	28	1	the	the	DET
hjic-833	28	2	expressions	expression	NOUN
hjic-833	28	3	of	of	ADP
hjic-833	28	4	the	the	DET
hjic-833	28	5	related	relate	VERB
hjic-833	28	6	models	model	NOUN
hjic-833	28	7	are	be	AUX
hjic-833	28	8	listed	list	VERB
hjic-833	28	9	in	in	ADP
hjic-833	28	10	table	table	NOUN
hjic-833	28	11	1	1	NUM
hjic-833	28	12	.	.	PUNCT
hjic-833	29	1	(	(	PUNCT
hjic-833	29	2	one	one	NUM
hjic-833	29	3	line	line	NOUN
hjic-833	29	4	belongs	belong	VERB
hjic-833	29	5	to	to	ADP
hjic-833	29	6	one	one	NUM
hjic-833	29	7	theory	theory	NOUN
hjic-833	29	8	and	and	CCONJ
hjic-833	29	9	the	the	DET
hjic-833	29	10	first	first	ADJ
hjic-833	29	11	line	line	NOUN
hjic-833	29	12	is	be	AUX
hjic-833	29	13	the	the	DET
hjic-833	29	14	head	head	NOUN
hjic-833	29	15	of	of	ADP
hjic-833	29	16	the	the	DET
hjic-833	29	17	table	table	NOUN
hjic-833	29	18	,	,	PUNCT
hjic-833	29	19	e.g.	e.g.	ADV
hjic-833	29	20	table	table	NOUN
hjic-833	29	21	1	1	NUM
hjic-833	29	22	:	:	SYM
hjic-833	29	23	2.4	2.4	NUM
hjic-833	29	24	refers	refer	VERB
hjic-833	29	25	to	to	ADP
hjic-833	29	26	the	the	DET
hjic-833	29	27	4th	4th	ADJ
hjic-833	29	28	cell	cell	NOUN
hjic-833	29	29	in	in	ADP
hjic-833	29	30	the	the	DET
hjic-833	29	31	2nd	2nd	ADJ
hjic-833	29	32	line	line	NOUN
hjic-833	29	33	within	within	ADP
hjic-833	29	34	the	the	DET
hjic-833	29	35	1st	1st	ADJ
hjic-833	29	36	table	table	NOUN
hjic-833	29	37	.	.	PUNCT
hjic-833	29	38	)	)	PUNCT
hjic-833	30	1	three	three	NUM
hjic-833	30	2	different	different	ADJ
hjic-833	30	3	mailto:sata123.sandor@gmail.com	mailto:sata123.sandor@gmail.com	PROPN
hjic-833	30	4	48	48	NUM
hjic-833	30	5	nagy	nagy	PROPN
hjic-833	30	6	table	table	NOUN
hjic-833	30	7	1	1	NUM
hjic-833	30	8	:	:	PUNCT
hjic-833	30	9	the	the	DET
hjic-833	30	10	expressions	expression	NOUN
hjic-833	30	11	of	of	ADP
hjic-833	30	12	the	the	DET
hjic-833	30	13	effective	effective	ADJ
hjic-833	30	14	magnetic	magnetic	ADJ
hjic-833	30	15	field	field	NOUN
hjic-833	30	16	,	,	PUNCT
hjic-833	30	17	the	the	DET
hjic-833	30	18	magnetization	magnetization	NOUN
hjic-833	30	19	and	and	CCONJ
hjic-833	30	20	the	the	DET
hjic-833	30	21	initial	initial	ADJ
hjic-833	30	22	magnetic	magnetic	ADJ
hjic-833	30	23	susceptibility	susceptibility	NOUN
hjic-833	30	24	of	of	ADP
hjic-833	30	25	the	the	DET
hjic-833	30	26	related	relate	VERB
hjic-833	30	27	theories	theory	NOUN
hjic-833	30	28	.	.	PUNCT
hjic-833	31	1	model	model	NOUN
hjic-833	31	2	he	he	PRON
hjic-833	31	3	–	–	PUNCT
hjic-833	31	4	effective	effective	ADJ
hjic-833	31	5	magnetic	magnetic	ADJ
hjic-833	31	6	field	field	NOUN
hjic-833	31	7	m	m	NOUN
hjic-833	31	8	–	–	PUNCT
hjic-833	31	9	magnetization	magnetization	NOUN
hjic-833	31	10	χ0	χ0	PROPN
hjic-833	31	11	–	–	PUNCT
hjic-833	31	12	initial	initial	ADJ
hjic-833	31	13	magnetic	magnetic	ADJ
hjic-833	31	14	susceptibility	susceptibility	NOUN
hjic-833	31	15	1	1	NUM
hjic-833	31	16	“	"	PUNCT
hjic-833	31	17	langevin	langevin	NOUN
hjic-833	31	18	”	"	PUNCT
hjic-833	32	1	[	[	X
hjic-833	32	2	1	1	NUM
hjic-833	32	3	]	]	PUNCT
hjic-833	32	4	h0	h0	PROPN
hjic-833	32	5	ρml	ρml	PROPN
hjic-833	32	6	(	(	PUNCT
hjic-833	32	7	mh0	mh0	PROPN
hjic-833	32	8	kbt	kbt	PROPN
hjic-833	32	9	)	)	PUNCT
hjic-833	33	1	ρm2	ρm2	PROPN
hjic-833	33	2	3kbt	3kbt	NUM
hjic-833	33	3	=	=	SYM
hjic-833	33	4	χl	χl	PROPN
hjic-833	33	5	2	2	NUM
hjic-833	33	6	“	"	PUNCT
hjic-833	33	7	weiss	weiss	PROPN
hjic-833	33	8	”	"	PUNCT
hjic-833	33	9	[	[	X
hjic-833	33	10	2	2	NUM
hjic-833	33	11	]	]	X
hjic-833	33	12	h0	h0	NOUN
hjic-833	33	13	+	+	CCONJ
hjic-833	33	14	4π	4π	NUM
hjic-833	33	15	3	3	NUM
hjic-833	33	16	m(he	m(he	NUM
hjic-833	33	17	)	)	PUNCT
hjic-833	33	18	ρml	ρml	NOUN
hjic-833	34	1	(	(	PUNCT
hjic-833	34	2	mhe	mhe	PROPN
hjic-833	34	3	kbt	kbt	PROPN
hjic-833	34	4	)	)	PUNCT
hjic-833	34	5	χl	χl	PROPN
hjic-833	35	1	1−	1−	NUM
hjic-833	35	2	4π	4π	NUM
hjic-833	35	3	3	3	NUM
hjic-833	35	4	χl	χl	PROPN
hjic-833	35	5	3	3	NUM
hjic-833	35	6	“	"	PUNCT
hjic-833	35	7	pshenichnikov	pshenichnikov	PROPN
hjic-833	35	8	”	"	PUNCT
hjic-833	36	1	[	[	X
hjic-833	36	2	3	3	NUM
hjic-833	36	3	]	]	X
hjic-833	36	4	h0	h0	NOUN
hjic-833	36	5	+	+	CCONJ
hjic-833	36	6	4π	4π	PROPN
hjic-833	36	7	3	3	NUM
hjic-833	36	8	m(h0	m(h0	NOUN
hjic-833	36	9	)	)	PUNCT
hjic-833	36	10	ρml	ρml	NOUN
hjic-833	37	1	(	(	PUNCT
hjic-833	37	2	mhe	mhe	PROPN
hjic-833	37	3	kbt	kbt	PROPN
hjic-833	37	4	)	)	PUNCT
hjic-833	37	5	χl	χl	PROPN
hjic-833	38	1	(	(	PUNCT
hjic-833	38	2	1	1	NUM
hjic-833	38	3	+	+	SYM
hjic-833	38	4	4π	4π	NUM
hjic-833	38	5	3	3	NUM
hjic-833	38	6	χl	χl	NOUN
hjic-833	38	7	)	)	PUNCT
hjic-833	38	8	4	4	NUM
hjic-833	38	9	“	"	PUNCT
hjic-833	38	10	ivanov	ivanov	PROPN
hjic-833	38	11	”	"	PUNCT
hjic-833	38	12	[	[	X
hjic-833	38	13	4	4	NUM
hjic-833	38	14	]	]	X
hjic-833	38	15	h0	h0	NOUN
hjic-833	38	16	+	+	CCONJ
hjic-833	38	17	4π	4π	PROPN
hjic-833	38	18	3	3	NUM
hjic-833	38	19	m(h0	m(h0	NOUN
hjic-833	38	20	)	)	PUNCT
hjic-833	38	21	(	(	PUNCT
hjic-833	38	22	1	1	NUM
hjic-833	38	23	+	+	SYM
hjic-833	38	24	4π	4π	NUM
hjic-833	38	25	48	48	NUM
hjic-833	38	26	∂m	∂m	PROPN
hjic-833	38	27	∂h0	∂h0	ADV
hjic-833	38	28	)	)	PUNCT
hjic-833	38	29	ρml	ρml	PROPN
hjic-833	39	1	(	(	PUNCT
hjic-833	39	2	mhe	mhe	PROPN
hjic-833	39	3	kbt	kbt	PROPN
hjic-833	39	4	)	)	PUNCT
hjic-833	39	5	χl	χl	PROPN
hjic-833	40	1	(	(	PUNCT
hjic-833	40	2	1	1	NUM
hjic-833	40	3	+	+	SYM
hjic-833	40	4	4π	4π	NUM
hjic-833	40	5	3	3	NUM
hjic-833	40	6	χl	χl	NOUN
hjic-833	41	1	+	+	X
hjic-833	41	2	(	(	PUNCT
hjic-833	41	3	4π	4π	NUM
hjic-833	41	4	)	)	PUNCT
hjic-833	41	5	2	2	NUM
hjic-833	41	6	144	144	NUM
hjic-833	41	7	χ2	χ2	PROPN
hjic-833	41	8	l	l	PROPN
hjic-833	41	9	)	)	PUNCT
hjic-833	41	10	5	5	NUM
hjic-833	41	11	“	"	PUNCT
hjic-833	41	12	tani	tani	NOUN
hjic-833	41	13	”	"	PUNCT
hjic-833	41	14	and	and	CCONJ
hjic-833	41	15	“	"	PUNCT
hjic-833	41	16	szalai	szalai	NOUN
hjic-833	41	17	”	"	PUNCT
hjic-833	41	18	[	[	X
hjic-833	41	19	5	5	NUM
hjic-833	41	20	,	,	PUNCT
hjic-833	41	21	6	6	NUM
hjic-833	41	22	]	]	SYM
hjic-833	41	23	m(h0	m(h0	NOUN
hjic-833	41	24	)	)	PUNCT
hjic-833	42	1	=	=	SYM
hjic-833	43	1	ρml+	ρml+	NOUN
hjic-833	43	2	4π	4π	NUM
hjic-833	43	3	3	3	NUM
hjic-833	43	4	ρ	ρ	PROPN
hjic-833	43	5	2βm3ll	2βm3ll	NUM
hjic-833	43	6	′	′	NUM
hjic-833	44	1	+	+	CCONJ
hjic-833	44	2	1	1	NUM
hjic-833	44	3	10ρ	10ρ	NUM
hjic-833	44	4	2β2m5ζ	2β2m5ζ	NUM
hjic-833	44	5	′	′	NUM
hjic-833	44	6	idd∆	idd∆	X
hjic-833	44	7	−	−	PROPN
hjic-833	44	8	16π2	16π2	NUM
hjic-833	44	9	27	27	NUM
hjic-833	45	1	ρ3β2m5ll	ρ3β2m5ll	PROPN
hjic-833	45	2	′	′	NUM
hjic-833	46	1	+	+	CCONJ
hjic-833	46	2	1	1	NUM
hjic-833	46	3	3ρ	3ρ	NUM
hjic-833	46	4	3β2m5ll	3β2m5ll	NUM
hjic-833	46	5	′	′	NUM
hjic-833	46	6	idd∆	idd∆	NOUN
hjic-833	46	7	χl	χl	INTJ
hjic-833	46	8	(	(	PUNCT
hjic-833	46	9	1	1	NUM
hjic-833	46	10	+	+	SYM
hjic-833	46	11	4π	4π	NUM
hjic-833	46	12	3	3	NUM
hjic-833	46	13	χl	χl	NOUN
hjic-833	46	14	+	+	X
hjic-833	46	15	(	(	PUNCT
hjic-833	46	16	4π)2	4π)2	NUM
hjic-833	46	17	144	144	NUM
hjic-833	46	18	χ2	χ2	PROPN
hjic-833	46	19	lf(ρ	lf(ρ	NOUN
hjic-833	46	20	)	)	PUNCT
hjic-833	46	21	)	)	PUNCT
hjic-833	47	1	magnetic	magnetic	ADJ
hjic-833	47	2	fields	field	NOUN
hjic-833	47	3	will	will	AUX
hjic-833	47	4	be	be	AUX
hjic-833	47	5	used	use	VERB
hjic-833	47	6	.	.	PUNCT
hjic-833	48	1	the	the	DET
hjic-833	48	2	applied	apply	VERB
hjic-833	48	3	external	external	ADJ
hjic-833	48	4	magnetic	magnetic	ADJ
hjic-833	48	5	field	field	NOUN
hjic-833	48	6	is	be	AUX
hjic-833	48	7	denoted	denote	VERB
hjic-833	48	8	by	by	ADP
hjic-833	48	9	h0	h0	NOUN
hjic-833	48	10	and	and	CCONJ
hjic-833	48	11	the	the	DET
hjic-833	48	12	sum	sum	NOUN
hjic-833	48	13	of	of	ADP
hjic-833	48	14	the	the	DET
hjic-833	48	15	external	external	ADJ
hjic-833	48	16	and	and	CCONJ
hjic-833	48	17	generated	generate	VERB
hjic-833	48	18	magnetic	magnetic	ADJ
hjic-833	48	19	fields	field	NOUN
hjic-833	48	20	by	by	ADP
hjic-833	48	21	he	he	PRON
hjic-833	48	22	.	.	PUNCT
hjic-833	49	1	he	he	PRON
hjic-833	49	2	is	be	AUX
hjic-833	49	3	always	always	ADV
hjic-833	49	4	parallel	parallel	ADJ
hjic-833	49	5	to	to	ADP
hjic-833	49	6	h0	h0	PROPN
hjic-833	49	7	.	.	PUNCT
hjic-833	50	1	the	the	DET
hjic-833	50	2	third	third	ADJ
hjic-833	50	3	one	one	NOUN
hjic-833	50	4	is	be	AUX
hjic-833	50	5	the	the	DET
hjic-833	50	6	local	local	ADJ
hjic-833	50	7	magnetic	magnetic	ADJ
hjic-833	50	8	field	field	NOUN
hjic-833	50	9	hl	hl	NOUN
hjic-833	50	10	which	which	PRON
hjic-833	50	11	is	be	AUX
hjic-833	50	12	of	of	ADP
hjic-833	50	13	chain	chain	NOUN
hjic-833	50	14	-	-	PUNCT
hjic-833	50	15	parallel	parallel	NOUN
hjic-833	50	16	orientation	orientation	NOUN
hjic-833	50	17	and	and	CCONJ
hjic-833	50	18	its	its	PRON
hjic-833	50	19	formation	formation	NOUN
hjic-833	50	20	is	be	AUX
hjic-833	50	21	due	due	ADJ
hjic-833	50	22	to	to	ADP
hjic-833	50	23	dipole	dipole	NOUN
hjic-833	50	24	-	-	PUNCT
hjic-833	50	25	dipole	dipole	NOUN
hjic-833	50	26	interactions	interaction	NOUN
hjic-833	50	27	between	between	ADP
hjic-833	50	28	the	the	DET
hjic-833	50	29	particles	particle	NOUN
hjic-833	50	30	.	.	PUNCT
hjic-833	51	1	the	the	DET
hjic-833	51	2	well	well	ADV
hjic-833	51	3	-	-	PUNCT
hjic-833	51	4	known	know	VERB
hjic-833	51	5	langevin	langevin	NOUN
hjic-833	51	6	function	function	NOUN
hjic-833	51	7	is	be	AUX
hjic-833	51	8	applied	apply	VERB
hjic-833	51	9	from	from	ADP
hjic-833	51	10	the	the	DET
hjic-833	51	11	initial	initial	ADJ
hjic-833	51	12	theory	theory	NOUN
hjic-833	51	13	[	[	X
hjic-833	51	14	1	1	X
hjic-833	51	15	]	]	PUNCT
hjic-833	51	16	in	in	ADP
hjic-833	51	17	the	the	DET
hjic-833	51	18	magnetization	magnetization	NOUN
hjic-833	51	19	formula	formula	NOUN
hjic-833	51	20	(	(	PUNCT
hjic-833	51	21	table	table	NOUN
hjic-833	51	22	1	1	NUM
hjic-833	51	23	:	:	SYM
hjic-833	51	24	1.3	1.3	NUM
hjic-833	51	25	)	)	PUNCT
hjic-833	51	26	,	,	PUNCT
hjic-833	51	27	where	where	SCONJ
hjic-833	51	28	l(α	l(α	X
hjic-833	51	29	)	)	PUNCT
hjic-833	52	1	=	=	PUNCT
hjic-833	52	2	cothα	cothα	ADV
hjic-833	52	3	−	−	PROPN
hjic-833	52	4	1	1	NUM
hjic-833	52	5	/	/	SYM
hjic-833	52	6	α	α	NOUN
hjic-833	52	7	.	.	PUNCT
hjic-833	53	1	the	the	DET
hjic-833	53	2	magnetic	magnetic	ADJ
hjic-833	53	3	dipole	dipole	NOUN
hjic-833	53	4	moment	moment	NOUN
hjic-833	53	5	of	of	ADP
hjic-833	53	6	the	the	DET
hjic-833	53	7	particles	particle	NOUN
hjic-833	53	8	is	be	AUX
hjic-833	53	9	denoted	denote	VERB
hjic-833	53	10	by	by	ADP
hjic-833	53	11	m	m	PROPN
hjic-833	53	12	and	and	CCONJ
hjic-833	53	13	the	the	DET
hjic-833	53	14	applied	apply	VERB
hjic-833	53	15	external	external	ADJ
hjic-833	53	16	magnetic	magnetic	ADJ
hjic-833	53	17	field	field	NOUN
hjic-833	53	18	by	by	ADP
hjic-833	53	19	h0	h0	PROPN
hjic-833	53	20	,	,	PUNCT
hjic-833	53	21	while	while	SCONJ
hjic-833	53	22	the	the	DET
hjic-833	53	23	boltzmann	boltzmann	PROPN
hjic-833	53	24	constant	constant	NOUN
hjic-833	53	25	is	be	AUX
hjic-833	53	26	represented	represent	VERB
hjic-833	53	27	by	by	ADP
hjic-833	53	28	kb	kb	PROPN
hjic-833	53	29	.	.	PUNCT
hjic-833	54	1	the	the	DET
hjic-833	54	2	expression	expression	NOUN
hjic-833	54	3	of	of	ADP
hjic-833	54	4	magnetic	magnetic	ADJ
hjic-833	54	5	susceptibility	susceptibility	NOUN
hjic-833	54	6	can	can	AUX
hjic-833	54	7	be	be	AUX
hjic-833	54	8	written	write	VERB
hjic-833	54	9	as	as	ADP
hjic-833	54	10	in	in	ADP
hjic-833	54	11	table	table	NOUN
hjic-833	54	12	1	1	NUM
hjic-833	54	13	:	:	SYM
hjic-833	54	14	1.4	1.4	NUM
hjic-833	54	15	.	.	PUNCT
hjic-833	55	1	this	this	PRON
hjic-833	55	2	is	be	AUX
hjic-833	55	3	known	know	VERB
hjic-833	55	4	as	as	ADP
hjic-833	55	5	langevin	langevin	NOUN
hjic-833	55	6	susceptibility	susceptibility	NOUN
hjic-833	55	7	which	which	PRON
hjic-833	55	8	is	be	AUX
hjic-833	55	9	indicated	indicate	VERB
hjic-833	55	10	by	by	ADP
hjic-833	55	11	χl	χl	NOUN
hjic-833	55	12	as	as	ADV
hjic-833	55	13	well	well	ADV
hjic-833	55	14	.	.	PUNCT
hjic-833	56	1	in	in	ADP
hjic-833	56	2	this	this	DET
hjic-833	56	3	approach	approach	NOUN
hjic-833	56	4	the	the	DET
hjic-833	56	5	effective	effective	ADJ
hjic-833	56	6	magnetic	magnetic	ADJ
hjic-833	56	7	field	field	NOUN
hjic-833	56	8	he	he	PRON
hjic-833	56	9	exerted	exert	VERB
hjic-833	56	10	on	on	ADP
hjic-833	56	11	the	the	DET
hjic-833	56	12	given	give	VERB
hjic-833	56	13	particle	particle	NOUN
hjic-833	56	14	is	be	AUX
hjic-833	56	15	equal	equal	ADJ
hjic-833	56	16	to	to	ADP
hjic-833	56	17	the	the	DET
hjic-833	56	18	external	external	ADJ
hjic-833	56	19	magnetic	magnetic	ADJ
hjic-833	56	20	field	field	NOUN
hjic-833	56	21	(	(	PUNCT
hjic-833	56	22	table	table	NOUN
hjic-833	56	23	1	1	NUM
hjic-833	56	24	:	:	SYM
hjic-833	56	25	1.2	1.2	NUM
hjic-833	56	26	)	)	PUNCT
hjic-833	56	27	.	.	PUNCT
hjic-833	57	1	according	accord	VERB
hjic-833	57	2	to	to	ADP
hjic-833	57	3	the	the	DET
hjic-833	57	4	more	more	ADV
hjic-833	57	5	accurate	accurate	ADJ
hjic-833	57	6	model	model	NOUN
hjic-833	57	7	by	by	ADP
hjic-833	57	8	weiss	weiss	PROPN
hjic-833	57	9	[	[	X
hjic-833	57	10	2	2	NUM
hjic-833	57	11	]	]	PUNCT
hjic-833	57	12	the	the	DET
hjic-833	57	13	effective	effective	ADJ
hjic-833	57	14	magnetic	magnetic	ADJ
hjic-833	57	15	field	field	NOUN
hjic-833	57	16	is	be	AUX
hjic-833	57	17	equal	equal	ADJ
hjic-833	57	18	to	to	ADP
hjic-833	57	19	the	the	DET
hjic-833	57	20	sum	sum	NOUN
hjic-833	57	21	of	of	ADP
hjic-833	57	22	the	the	DET
hjic-833	57	23	external	external	ADJ
hjic-833	57	24	magnetic	magnetic	ADJ
hjic-833	57	25	field	field	NOUN
hjic-833	57	26	and	and	CCONJ
hjic-833	57	27	the	the	DET
hjic-833	57	28	magnetic	magnetic	ADJ
hjic-833	57	29	field	field	NOUN
hjic-833	57	30	induced	induce	VERB
hjic-833	57	31	by	by	ADP
hjic-833	57	32	the	the	DET
hjic-833	57	33	magnetization	magnetization	NOUN
hjic-833	57	34	(	(	PUNCT
hjic-833	57	35	table	table	NOUN
hjic-833	57	36	1	1	NUM
hjic-833	57	37	:	:	SYM
hjic-833	57	38	2.2	2.2	NUM
hjic-833	57	39	)	)	PUNCT
hjic-833	57	40	.	.	PUNCT
hjic-833	58	1	the	the	DET
hjic-833	58	2	formula	formula	NOUN
hjic-833	58	3	of	of	ADP
hjic-833	58	4	the	the	DET
hjic-833	58	5	magnetization	magnetization	NOUN
hjic-833	58	6	(	(	PUNCT
hjic-833	58	7	table	table	NOUN
hjic-833	58	8	1	1	NUM
hjic-833	58	9	:	:	SYM
hjic-833	58	10	2.3	2.3	NUM
hjic-833	58	11	)	)	PUNCT
hjic-833	58	12	is	be	AUX
hjic-833	58	13	similar	similar	ADJ
hjic-833	58	14	to	to	ADP
hjic-833	58	15	the	the	DET
hjic-833	58	16	previous	previous	ADJ
hjic-833	58	17	one	one	NOUN
hjic-833	58	18	but	but	CCONJ
hjic-833	58	19	h0	h0	NOUN
hjic-833	58	20	is	be	AUX
hjic-833	58	21	substituted	substitute	VERB
hjic-833	58	22	by	by	ADP
hjic-833	58	23	he	he	PRON
hjic-833	58	24	.	.	PUNCT
hjic-833	59	1	due	due	ADP
hjic-833	59	2	to	to	ADP
hjic-833	59	3	the	the	DET
hjic-833	59	4	iterative	iterative	ADJ
hjic-833	59	5	nature	nature	NOUN
hjic-833	59	6	of	of	ADP
hjic-833	59	7	the	the	DET
hjic-833	59	8	magnetization	magnetization	NOUN
hjic-833	59	9	expression	expression	NOUN
hjic-833	59	10	the	the	DET
hjic-833	59	11	initial	initial	ADJ
hjic-833	59	12	magnetic	magnetic	ADJ
hjic-833	59	13	susceptibility	susceptibility	NOUN
hjic-833	59	14	(	(	PUNCT
hjic-833	59	15	table	table	NOUN
hjic-833	59	16	1	1	NUM
hjic-833	59	17	:	:	SYM
hjic-833	59	18	2.4	2.4	NUM
hjic-833	59	19	)	)	PUNCT
hjic-833	59	20	exhibits	exhibit	VERB
hjic-833	59	21	divergence	divergence	NOUN
hjic-833	59	22	at	at	ADP
hjic-833	59	23	χl	χl	X
hjic-833	59	24	=	=	SYM
hjic-833	59	25	3/4π	3/4π	NUM
hjic-833	59	26	,	,	PUNCT
hjic-833	59	27	therefore	therefore	ADV
hjic-833	59	28	,	,	PUNCT
hjic-833	59	29	overestimates	overestimate	VERB
hjic-833	59	30	the	the	DET
hjic-833	59	31	real	real	ADJ
hjic-833	59	32	values	value	NOUN
hjic-833	59	33	.	.	PUNCT
hjic-833	60	1	above	above	ADP
hjic-833	60	2	this	this	DET
hjic-833	60	3	initial	initial	ADJ
hjic-833	60	4	magnetic	magnetic	ADJ
hjic-833	60	5	susceptibility	susceptibility	NOUN
hjic-833	60	6	limit	limit	NOUN
hjic-833	60	7	,	,	PUNCT
hjic-833	60	8	when	when	SCONJ
hjic-833	60	9	χl	χl	X
hjic-833	60	10	≥	≥	NOUN
hjic-833	60	11	3/4π	3/4π	NUM
hjic-833	60	12	,	,	PUNCT
hjic-833	60	13	the	the	DET
hjic-833	60	14	zerofield	zerofield	NOUN
hjic-833	60	15	magnetization	magnetization	NOUN
hjic-833	60	16	is	be	AUX
hjic-833	60	17	not	not	PART
hjic-833	60	18	equal	equal	ADJ
hjic-833	60	19	to	to	ADP
hjic-833	60	20	zero	zero	NUM
hjic-833	60	21	:	:	PUNCT
hjic-833	60	22	m(h0	m(h0	NOUN
hjic-833	60	23	)	)	PUNCT
hjic-833	60	24	6→	6→	PROPN
hjic-833	61	1	+0	+0	PROPN
hjic-833	61	2	,	,	PUNCT
hjic-833	61	3	ifh0	ifh0	PROPN
hjic-833	61	4	→	→	SYM
hjic-833	61	5	+0	+0	PROPN
hjic-833	61	6	.	.	PUNCT
hjic-833	62	1	moreover	moreover	ADV
hjic-833	62	2	,	,	PUNCT
hjic-833	62	3	in	in	ADP
hjic-833	62	4	weak	weak	ADJ
hjic-833	62	5	external	external	ADJ
hjic-833	62	6	magnetic	magnetic	ADJ
hjic-833	62	7	fields	field	NOUN
hjic-833	62	8	,	,	PUNCT
hjic-833	62	9	one	one	NUM
hjic-833	62	10	h0	h0	NOUN
hjic-833	62	11	value	value	NOUN
hjic-833	62	12	belongs	belong	VERB
hjic-833	62	13	to	to	ADP
hjic-833	62	14	three	three	NUM
hjic-833	62	15	equilibrium	equilibrium	NOUN
hjic-833	62	16	magnetization	magnetization	NOUN
hjic-833	62	17	values	value	NOUN
hjic-833	62	18	.	.	PUNCT
hjic-833	63	1	the	the	DET
hjic-833	63	2	effective	effective	ADJ
hjic-833	63	3	magnetic	magnetic	ADJ
hjic-833	63	4	field	field	NOUN
hjic-833	63	5	has	have	AUX
hjic-833	63	6	been	be	AUX
hjic-833	63	7	substituted	substitute	VERB
hjic-833	63	8	for	for	ADP
hjic-833	63	9	the	the	DET
hjic-833	63	10	external	external	ADJ
hjic-833	63	11	magnetic	magnetic	ADJ
hjic-833	63	12	field	field	NOUN
hjic-833	63	13	in	in	ADP
hjic-833	63	14	the	the	DET
hjic-833	63	15	expression	expression	NOUN
hjic-833	63	16	of	of	ADP
hjic-833	63	17	the	the	DET
hjic-833	63	18	effective	effective	ADJ
hjic-833	63	19	magnetic	magnetic	ADJ
hjic-833	63	20	field	field	NOUN
hjic-833	63	21	(	(	PUNCT
hjic-833	63	22	table	table	NOUN
hjic-833	63	23	1	1	NUM
hjic-833	63	24	:	:	SYM
hjic-833	63	25	3.2	3.2	NUM
hjic-833	63	26	)	)	PUNCT
hjic-833	63	27	in	in	ADP
hjic-833	63	28	the	the	DET
hjic-833	63	29	theory	theory	NOUN
hjic-833	63	30	by	by	ADP
hjic-833	63	31	pshenichnikov	pshenichnikov	PROPN
hjic-833	63	32	et	et	PROPN
hjic-833	63	33	al	al	PROPN
hjic-833	63	34	.	.	PUNCT
hjic-833	64	1	[	[	X
hjic-833	64	2	3	3	NUM
hjic-833	64	3	]	]	PUNCT
hjic-833	64	4	.	.	PUNCT
hjic-833	65	1	the	the	DET
hjic-833	65	2	magnetization	magnetization	NOUN
hjic-833	65	3	formula	formula	NOUN
hjic-833	65	4	(	(	PUNCT
hjic-833	65	5	table	table	NOUN
hjic-833	65	6	1	1	NUM
hjic-833	65	7	:	:	SYM
hjic-833	65	8	3.3	3.3	NUM
hjic-833	65	9	)	)	PUNCT
hjic-833	65	10	is	be	AUX
hjic-833	65	11	the	the	DET
hjic-833	65	12	same	same	ADJ
hjic-833	65	13	as	as	ADP
hjic-833	65	14	in	in	ADP
hjic-833	65	15	weiss	weiss	NOUN
hjic-833	65	16	’	'	PUNCT
hjic-833	65	17	theory	theory	NOUN
hjic-833	65	18	.	.	PUNCT
hjic-833	66	1	the	the	DET
hjic-833	66	2	initial	initial	ADJ
hjic-833	66	3	magnetic	magnetic	ADJ
hjic-833	66	4	susceptibility	susceptibility	NOUN
hjic-833	66	5	(	(	PUNCT
hjic-833	66	6	table	table	NOUN
hjic-833	66	7	1	1	NUM
hjic-833	66	8	:	:	SYM
hjic-833	66	9	3.4	3.4	NUM
hjic-833	66	10	)	)	PUNCT
hjic-833	66	11	is	be	AUX
hjic-833	66	12	in	in	ADP
hjic-833	66	13	good	good	ADJ
hjic-833	66	14	agreement	agreement	NOUN
hjic-833	66	15	with	with	ADP
hjic-833	66	16	the	the	DET
hjic-833	66	17	simulations	simulation	NOUN
hjic-833	66	18	but	but	CCONJ
hjic-833	66	19	underestimates	underestimate	VERB
hjic-833	66	20	them	they	PRON
hjic-833	66	21	at	at	ADP
hjic-833	66	22	higher	high	ADJ
hjic-833	66	23	densities	density	NOUN
hjic-833	66	24	or	or	CCONJ
hjic-833	66	25	higher	high	ADJ
hjic-833	66	26	dipole	dipole	NOUN
hjic-833	66	27	moments	moment	NOUN
hjic-833	66	28	.	.	PUNCT
hjic-833	67	1	that	that	PRON
hjic-833	67	2	is	be	AUX
hjic-833	67	3	why	why	SCONJ
hjic-833	67	4	it	it	PRON
hjic-833	67	5	seems	seem	VERB
hjic-833	67	6	to	to	PART
hjic-833	67	7	be	be	AUX
hjic-833	67	8	a	a	DET
hjic-833	67	9	good	good	ADJ
hjic-833	67	10	method	method	NOUN
hjic-833	67	11	to	to	PART
hjic-833	67	12	extend	extend	VERB
hjic-833	67	13	the	the	DET
hjic-833	67	14	expression	expression	NOUN
hjic-833	67	15	of	of	ADP
hjic-833	67	16	the	the	DET
hjic-833	67	17	effective	effective	ADJ
hjic-833	67	18	magnetic	magnetic	ADJ
hjic-833	67	19	field	field	NOUN
hjic-833	67	20	(	(	PUNCT
hjic-833	67	21	table	table	NOUN
hjic-833	67	22	1	1	NUM
hjic-833	67	23	:	:	SYM
hjic-833	67	24	4.2	4.2	NUM
hjic-833	67	25	)	)	PUNCT
hjic-833	67	26	by	by	ADP
hjic-833	67	27	ivanov	ivanov	PROPN
hjic-833	67	28	et	et	PROPN
hjic-833	67	29	al	al	PROPN
hjic-833	67	30	.	.	PUNCT
hjic-833	68	1	[	[	X
hjic-833	68	2	4	4	NUM
hjic-833	68	3	]	]	PUNCT
hjic-833	68	4	.	.	PUNCT
hjic-833	69	1	the	the	DET
hjic-833	69	2	magnetization	magnetization	NOUN
hjic-833	69	3	formula	formula	NOUN
hjic-833	69	4	is	be	AUX
hjic-833	69	5	once	once	ADV
hjic-833	69	6	again	again	ADV
hjic-833	69	7	identical	identical	ADJ
hjic-833	69	8	(	(	PUNCT
hjic-833	69	9	table	table	NOUN
hjic-833	69	10	1	1	NUM
hjic-833	69	11	:	:	SYM
hjic-833	69	12	4.3	4.3	NUM
hjic-833	69	13	)	)	PUNCT
hjic-833	69	14	but	but	CCONJ
hjic-833	69	15	a	a	DET
hjic-833	69	16	new	new	ADJ
hjic-833	69	17	term	term	NOUN
hjic-833	69	18	is	be	AUX
hjic-833	69	19	introduced	introduce	VERB
hjic-833	69	20	in	in	ADP
hjic-833	69	21	the	the	DET
hjic-833	69	22	initial	initial	ADJ
hjic-833	69	23	magnetic	magnetic	ADJ
hjic-833	69	24	susceptibility	susceptibility	NOUN
hjic-833	69	25	(	(	PUNCT
hjic-833	69	26	table	table	NOUN
hjic-833	69	27	1	1	NUM
hjic-833	69	28	:	:	SYM
hjic-833	69	29	4.4	4.4	NUM
hjic-833	69	30	)	)	PUNCT
hjic-833	69	31	.	.	PUNCT
hjic-833	70	1	although	although	SCONJ
hjic-833	70	2	at	at	ADP
hjic-833	70	3	higher	high	ADJ
hjic-833	70	4	densities	density	NOUN
hjic-833	70	5	it	it	PRON
hjic-833	70	6	yields	yield	VERB
hjic-833	70	7	higher	high	ADJ
hjic-833	70	8	values	value	NOUN
hjic-833	70	9	than	than	ADP
hjic-833	70	10	in	in	ADP
hjic-833	70	11	pshenichnikov	pshenichnikov	PROPN
hjic-833	70	12	’s	’s	PART
hjic-833	70	13	model	model	NOUN
hjic-833	70	14	,	,	PUNCT
hjic-833	70	15	it	it	PRON
hjic-833	70	16	underestimates	underestimate	VERB
hjic-833	70	17	the	the	DET
hjic-833	70	18	simulation	simulation	NOUN
hjic-833	70	19	data	datum	NOUN
hjic-833	70	20	as	as	ADV
hjic-833	70	21	well	well	ADV
hjic-833	70	22	.	.	PUNCT
hjic-833	71	1	the	the	DET
hjic-833	71	2	factor	factor	NOUN
hjic-833	71	3	of	of	ADP
hjic-833	71	4	the	the	DET
hjic-833	71	5	third	third	ADJ
hjic-833	71	6	term	term	NOUN
hjic-833	71	7	is	be	AUX
hjic-833	71	8	(	(	PUNCT
hjic-833	71	9	4π)2/144	4π)2/144	NUM
hjic-833	71	10	=	=	SYM
hjic-833	71	11	1.0966	1.0966	NUM
hjic-833	71	12	and	and	CCONJ
hjic-833	71	13	perhaps	perhaps	ADV
hjic-833	71	14	it	it	PRON
hjic-833	71	15	could	could	AUX
hjic-833	71	16	be	be	AUX
hjic-833	71	17	higher	high	ADJ
hjic-833	71	18	,	,	PUNCT
hjic-833	71	19	but	but	CCONJ
hjic-833	71	20	in	in	ADP
hjic-833	71	21	this	this	DET
hjic-833	71	22	case	case	NOUN
hjic-833	71	23	at	at	ADP
hjic-833	71	24	low	low	ADJ
hjic-833	71	25	densities	density	NOUN
hjic-833	71	26	the	the	DET
hjic-833	71	27	initial	initial	ADJ
hjic-833	71	28	magnetic	magnetic	ADJ
hjic-833	71	29	susceptibility	susceptibility	NOUN
hjic-833	71	30	overestimates	overestimate	VERB
hjic-833	71	31	the	the	DET
hjic-833	71	32	simulations	simulation	NOUN
hjic-833	71	33	.	.	PUNCT
hjic-833	72	1	the	the	DET
hjic-833	72	2	perturbation	perturbation	NOUN
hjic-833	72	3	theory	theory	NOUN
hjic-833	72	4	by	by	ADP
hjic-833	72	5	tani	tani	PROPN
hjic-833	72	6	et	et	PROPN
hjic-833	72	7	al	al	PROPN
hjic-833	72	8	.	.	PUNCT
hjic-833	73	1	[	[	X
hjic-833	73	2	5	5	NUM
hjic-833	73	3	]	]	PUNCT
hjic-833	73	4	is	be	AUX
hjic-833	73	5	worth	worth	ADJ
hjic-833	73	6	mentioning	mention	VERB
hjic-833	73	7	because	because	SCONJ
hjic-833	73	8	a	a	DET
hjic-833	73	9	density	density	NOUN
hjic-833	73	10	-	-	PUNCT
hjic-833	73	11	dependent	dependent	ADJ
hjic-833	73	12	correction	correction	NOUN
hjic-833	73	13	was	be	AUX
hjic-833	73	14	used	use	VERB
hjic-833	73	15	to	to	PART
hjic-833	73	16	complete	complete	VERB
hjic-833	73	17	the	the	DET
hjic-833	73	18	third	third	ADJ
hjic-833	73	19	term	term	NOUN
hjic-833	73	20	of	of	ADP
hjic-833	73	21	the	the	DET
hjic-833	73	22	susceptibility	susceptibility	NOUN
hjic-833	73	23	(	(	PUNCT
hjic-833	73	24	table	table	NOUN
hjic-833	73	25	1	1	NUM
hjic-833	73	26	:	:	SYM
hjic-833	73	27	5.4	5.4	NUM
hjic-833	73	28	)	)	PUNCT
hjic-833	73	29	,	,	PUNCT
hjic-833	74	1	where	where	SCONJ
hjic-833	74	2	f	f	PROPN
hjic-833	74	3	(	(	PUNCT
hjic-833	74	4	ρ	ρ	PROPN
hjic-833	74	5	)	)	PUNCT
hjic-833	74	6	=	=	SYM
hjic-833	75	1	9idd∆/π	9idd∆/π	NUM
hjic-833	75	2	2	2	NUM
hjic-833	75	3	−	−	PROPN
hjic-833	75	4	16	16	NUM
hjic-833	75	5	,	,	PUNCT
hjic-833	75	6	and	and	CCONJ
hjic-833	75	7	idd∆	idd∆	X
hjic-833	75	8	=	=	SYM
hjic-833	75	9	17π2	17π2	NUM
hjic-833	75	10	9	9	NUM
hjic-833	75	11	[	[	PUNCT
hjic-833	75	12	1−	1−	NUM
hjic-833	75	13	0.93952ρ∗	0.93952ρ∗	NOUN
hjic-833	76	1	+	+	NUM
hjic-833	76	2	0.36714(ρ∗	0.36714(ρ∗	NOUN
hjic-833	76	3	)	)	PUNCT
hjic-833	76	4	2	2	NUM
hjic-833	76	5	1−	1−	NUM
hjic-833	76	6	0.92398ρ∗	0.92398ρ∗	NOUN
hjic-833	76	7	+	+	CCONJ
hjic-833	76	8	0.23323(ρ∗	0.23323(ρ∗	NOUN
hjic-833	76	9	)	)	PUNCT
hjic-833	76	10	2	2	NUM
hjic-833	76	11	]	]	PUNCT
hjic-833	76	12	.	.	PUNCT
hjic-833	77	1	the	the	DET
hjic-833	77	2	formula	formula	NOUN
hjic-833	77	3	of	of	ADP
hjic-833	77	4	the	the	DET
hjic-833	77	5	magnetization	magnetization	NOUN
hjic-833	77	6	curve	curve	NOUN
hjic-833	77	7	for	for	ADP
hjic-833	77	8	this	this	DET
hjic-833	77	9	perturbation	perturbation	NOUN
hjic-833	77	10	theory	theory	NOUN
hjic-833	77	11	was	be	AUX
hjic-833	77	12	calculated	calculate	VERB
hjic-833	77	13	by	by	ADP
hjic-833	77	14	szalai	szalai	PROPN
hjic-833	77	15	et	et	PROPN
hjic-833	77	16	al	al	PROPN
hjic-833	77	17	.	.	PUNCT
hjic-833	78	1	the	the	DET
hjic-833	78	2	expressions	expression	NOUN
hjic-833	78	3	that	that	PRON
hjic-833	78	4	are	be	AUX
hjic-833	78	5	not	not	PART
hjic-833	78	6	mentioned	mention	VERB
hjic-833	78	7	in	in	ADP
hjic-833	78	8	table	table	NOUN
hjic-833	78	9	1	1	NUM
hjic-833	78	10	:	:	PUNCT
hjic-833	78	11	5.2	5.2	NUM
hjic-833	78	12	can	can	AUX
hjic-833	78	13	be	be	AUX
hjic-833	78	14	found	find	VERB
hjic-833	78	15	in	in	ADP
hjic-833	78	16	ref	ref	NOUN
hjic-833	78	17	.	.	PUNCT
hjic-833	79	1	[	[	X
hjic-833	79	2	6	6	NUM
hjic-833	79	3	]	]	PUNCT
hjic-833	79	4	.	.	PUNCT
hjic-833	80	1	the	the	DET
hjic-833	80	2	values	value	NOUN
hjic-833	80	3	of	of	ADP
hjic-833	80	4	the	the	DET
hjic-833	80	5	susceptibility	susceptibility	NOUN
hjic-833	80	6	more	more	ADV
hjic-833	80	7	closely	closely	ADV
hjic-833	80	8	resemble	resemble	VERB
hjic-833	80	9	the	the	DET
hjic-833	80	10	simulation	simulation	NOUN
hjic-833	80	11	data	datum	NOUN
hjic-833	80	12	but	but	CCONJ
hjic-833	80	13	still	still	ADV
hjic-833	80	14	underestimate	underestimate	VERB
hjic-833	80	15	those	those	PRON
hjic-833	80	16	.	.	PUNCT
hjic-833	81	1	it	it	PRON
hjic-833	81	2	is	be	AUX
hjic-833	81	3	worth	worth	ADJ
hjic-833	81	4	mentioning	mention	VERB
hjic-833	81	5	the	the	DET
hjic-833	81	6	study	study	NOUN
hjic-833	81	7	by	by	ADP
hjic-833	81	8	huke	huke	PROPN
hjic-833	81	9	and	and	CCONJ
hjic-833	81	10	lücke	lücke	NOUN
hjic-833	82	1	[	[	X
hjic-833	82	2	7	7	X
hjic-833	82	3	]	]	PUNCT
hjic-833	82	4	who	who	PRON
hjic-833	82	5	introduced	introduce	VERB
hjic-833	82	6	the	the	DET
hjic-833	82	7	so	so	ADV
hjic-833	82	8	-	-	PUNCT
hjic-833	82	9	called	call	VERB
hjic-833	82	10	“	"	PUNCT
hjic-833	82	11	dipolar	dipolar	ADJ
hjic-833	82	12	coupling	coupling	NOUN
hjic-833	82	13	constant	constant	NOUN
hjic-833	82	14	”	"	PUNCT
hjic-833	82	15	into	into	ADP
hjic-833	82	16	the	the	DET
hjic-833	82	17	second	second	ADJ
hjic-833	82	18	term	term	NOUN
hjic-833	82	19	of	of	ADP
hjic-833	82	20	the	the	DET
hjic-833	82	21	initial	initial	ADJ
hjic-833	82	22	magnetic	magnetic	ADJ
hjic-833	82	23	susceptibility	susceptibility	NOUN
hjic-833	82	24	,	,	PUNCT
hjic-833	82	25	but	but	CCONJ
hjic-833	82	26	the	the	DET
hjic-833	82	27	third	third	ADJ
hjic-833	82	28	term	term	NOUN
hjic-833	82	29	was	be	AUX
hjic-833	82	30	ignored	ignore	VERB
hjic-833	82	31	in	in	ADP
hjic-833	82	32	expressions	expression	NOUN
hjic-833	82	33	in	in	ADP
hjic-833	82	34	table	table	NOUN
hjic-833	82	35	1	1	NUM
hjic-833	82	36	:	:	SYM
hjic-833	82	37	4.4	4.4	NUM
hjic-833	82	38	and	and	CCONJ
hjic-833	82	39	5.4	5.4	NUM
hjic-833	82	40	.	.	PUNCT
hjic-833	83	1	thereby	thereby	ADV
hjic-833	83	2	their	their	PRON
hjic-833	83	3	theory	theory	NOUN
hjic-833	83	4	at	at	ADP
hjic-833	83	5	higher	high	ADJ
hjic-833	83	6	densities	density	NOUN
hjic-833	83	7	underestimates	underestimate	VERB
hjic-833	83	8	and	and	CCONJ
hjic-833	83	9	at	at	ADP
hjic-833	83	10	lower	low	ADJ
hjic-833	83	11	densities	density	NOUN
hjic-833	83	12	overestimates	overestimate	VERB
hjic-833	83	13	the	the	DET
hjic-833	83	14	simulation	simulation	NOUN
hjic-833	83	15	data	datum	NOUN
hjic-833	83	16	.	.	PUNCT
hjic-833	84	1	furthermore	furthermore	ADV
hjic-833	84	2	,	,	PUNCT
hjic-833	84	3	the	the	DET
hjic-833	84	4	theory	theory	NOUN
hjic-833	84	5	of	of	ADP
hjic-833	84	6	mean	mean	ADJ
hjic-833	84	7	-	-	PUNCT
hjic-833	84	8	spherical	spherical	ADJ
hjic-833	84	9	approximation	approximation	NOUN
hjic-833	84	10	(	(	PUNCT
hjic-833	84	11	msa	msa	PROPN
hjic-833	84	12	)	)	PUNCT
hjic-833	85	1	[	[	X
hjic-833	85	2	8–10	8–10	NOUN
hjic-833	85	3	]	]	PUNCT
hjic-833	85	4	should	should	AUX
hjic-833	85	5	also	also	ADV
hjic-833	85	6	hungarian	hungarian	ADJ
hjic-833	85	7	journal	journal	NOUN
hjic-833	85	8	of	of	ADP
hjic-833	85	9	industry	industry	NOUN
hjic-833	85	10	and	and	CCONJ
hjic-833	85	11	chemistry	chemistry	NOUN
hjic-833	85	12	the	the	DET
hjic-833	85	13	initial	initial	ADJ
hjic-833	85	14	magnetic	magnetic	ADJ
hjic-833	85	15	susceptibility	susceptibility	NOUN
hjic-833	85	16	of	of	ADP
hjic-833	85	17	dense	dense	ADJ
hjic-833	85	18	aggregated	aggregate	VERB
hjic-833	85	19	dipolar	dipolar	ADJ
hjic-833	85	20	fluids	fluid	NOUN
hjic-833	85	21	49	49	NUM
hjic-833	85	22	be	be	AUX
hjic-833	85	23	mentioned	mention	VERB
hjic-833	85	24	which	which	PRON
hjic-833	85	25	provides	provide	VERB
hjic-833	85	26	a	a	DET
hjic-833	85	27	formula	formula	NOUN
hjic-833	85	28	for	for	ADP
hjic-833	85	29	initial	initial	ADJ
hjic-833	85	30	magnetic	magnetic	ADJ
hjic-833	85	31	susceptibility	susceptibility	NOUN
hjic-833	85	32	and	and	CCONJ
hjic-833	85	33	magnetization	magnetization	NOUN
hjic-833	85	34	as	as	ADV
hjic-833	85	35	well	well	ADV
hjic-833	85	36	,	,	PUNCT
hjic-833	85	37	but	but	CCONJ
hjic-833	85	38	the	the	DET
hjic-833	85	39	validity	validity	NOUN
hjic-833	85	40	of	of	ADP
hjic-833	85	41	these	these	PRON
hjic-833	85	42	are	be	AUX
hjic-833	85	43	within	within	ADP
hjic-833	85	44	the	the	DET
hjic-833	85	45	range	range	NOUN
hjic-833	85	46	of	of	ADP
hjic-833	85	47	up	up	ADP
hjic-833	85	48	to	to	ADP
hjic-833	85	49	m∗	m∗	NOUN
hjic-833	85	50	<	<	X
hjic-833	85	51	√	√	ADP
hjic-833	85	52	1.5	1.5	NUM
hjic-833	85	53	.	.	PUNCT
hjic-833	86	1	with	with	ADP
hjic-833	86	2	regard	regard	NOUN
hjic-833	86	3	to	to	ADP
hjic-833	86	4	the	the	DET
hjic-833	86	5	distribution	distribution	NOUN
hjic-833	86	6	of	of	ADP
hjic-833	86	7	chain	chain	NOUN
hjic-833	86	8	aggregates	aggregate	NOUN
hjic-833	86	9	in	in	ADP
hjic-833	86	10	ferrofluids	ferrofluid	NOUN
hjic-833	86	11	[	[	X
hjic-833	86	12	11	11	NUM
hjic-833	86	13	,	,	PUNCT
hjic-833	86	14	12	12	NUM
hjic-833	86	15	]	]	PUNCT
hjic-833	86	16	,	,	PUNCT
hjic-833	86	17	it	it	PRON
hjic-833	86	18	has	have	AUX
hjic-833	86	19	been	be	AUX
hjic-833	86	20	found	find	VERB
hjic-833	86	21	that	that	SCONJ
hjic-833	86	22	in	in	ADP
hjic-833	86	23	the	the	DET
hjic-833	86	24	absence	absence	NOUN
hjic-833	86	25	of	of	ADP
hjic-833	86	26	any	any	DET
hjic-833	86	27	external	external	ADJ
hjic-833	86	28	magnetic	magnetic	ADJ
hjic-833	86	29	field	field	NOUN
hjic-833	86	30	,	,	PUNCT
hjic-833	86	31	the	the	DET
hjic-833	86	32	chain	chain	NOUN
hjic-833	86	33	size	size	NOUN
hjic-833	86	34	distribution	distribution	NOUN
hjic-833	86	35	is	be	AUX
hjic-833	86	36	proportional	proportional	ADJ
hjic-833	86	37	to	to	AUX
hjic-833	86	38	pk	pk	VERB
hjic-833	86	39	exp(−ε	exp(−ε	PROPN
hjic-833	86	40	)	)	PUNCT
hjic-833	86	41	,	,	PUNCT
hjic-833	86	42	where	where	SCONJ
hjic-833	86	43	the	the	DET
hjic-833	86	44	chain	chain	NOUN
hjic-833	86	45	length	length	NOUN
hjic-833	86	46	is	be	AUX
hjic-833	86	47	denoted	denote	VERB
hjic-833	86	48	by	by	ADP
hjic-833	86	49	k	k	PROPN
hjic-833	86	50	and	and	CCONJ
hjic-833	86	51	the	the	DET
hjic-833	86	52	dimensionless	dimensionless	NOUN
hjic-833	86	53	energy	energy	NOUN
hjic-833	86	54	parameter	parameter	NOUN
hjic-833	86	55	ε	ε	PROPN
hjic-833	86	56	is	be	AUX
hjic-833	86	57	a	a	DET
hjic-833	86	58	function	function	NOUN
hjic-833	86	59	of	of	ADP
hjic-833	86	60	the	the	DET
hjic-833	86	61	maximum	maximum	ADJ
hjic-833	86	62	dipole	dipole	NOUN
hjic-833	86	63	interaction	interaction	NOUN
hjic-833	86	64	energy	energy	NOUN
hjic-833	86	65	but	but	CCONJ
hjic-833	86	66	independent	independent	ADJ
hjic-833	86	67	from	from	ADP
hjic-833	86	68	the	the	DET
hjic-833	86	69	density	density	NOUN
hjic-833	86	70	,	,	PUNCT
hjic-833	86	71	therefore	therefore	ADV
hjic-833	86	72	,	,	PUNCT
hjic-833	86	73	it	it	PRON
hjic-833	86	74	is	be	AUX
hjic-833	86	75	a	a	DET
hjic-833	86	76	constant	constant	ADJ
hjic-833	86	77	here	here	ADV
hjic-833	86	78	and	and	CCONJ
hjic-833	86	79	the	the	DET
hjic-833	86	80	probability	probability	NOUN
hjic-833	86	81	of	of	ADP
hjic-833	86	82	bond	bond	NOUN
hjic-833	86	83	formation	formation	NOUN
hjic-833	86	84	between	between	ADP
hjic-833	86	85	two	two	NUM
hjic-833	86	86	adjacent	adjacent	ADJ
hjic-833	86	87	particles	particle	NOUN
hjic-833	86	88	in	in	ADP
hjic-833	86	89	a	a	DET
hjic-833	86	90	chain	chain	NOUN
hjic-833	86	91	is	be	AUX
hjic-833	86	92	p.	p.	NOUN
hjic-833	86	93	subsequently	subsequently	ADV
hjic-833	86	94	,	,	PUNCT
hjic-833	86	95	the	the	DET
hjic-833	86	96	chain	chain	NOUN
hjic-833	86	97	size	size	NOUN
hjic-833	86	98	distribution	distribution	NOUN
hjic-833	86	99	decreases	decrease	NOUN
hjic-833	86	100	according	accord	VERB
hjic-833	86	101	to	to	ADP
hjic-833	86	102	an	an	DET
hjic-833	86	103	exponential	exponential	ADJ
hjic-833	86	104	function	function	NOUN
hjic-833	86	105	because	because	SCONJ
hjic-833	86	106	pk	pk	NOUN
hjic-833	86	107	=	=	VERB
hjic-833	86	108	exp(−k	exp(−k	PROPN
hjic-833	86	109	/	/	SYM
hjic-833	86	110	k0	k0	PROPN
hjic-833	86	111	)	)	PUNCT
hjic-833	86	112	,	,	PUNCT
hjic-833	86	113	where	where	SCONJ
hjic-833	86	114	k0	k0	PROPN
hjic-833	86	115	=	=	PROPN
hjic-833	86	116	−1/	−1/	PROPN
hjic-833	86	117	ln	ln	ADJ
hjic-833	86	118	p.	p.	NOUN
hjic-833	86	119	based	base	VERB
hjic-833	86	120	on	on	ADP
hjic-833	86	121	some	some	DET
hjic-833	86	122	publications	publication	NOUN
hjic-833	87	1	[	[	X
hjic-833	87	2	13	13	NUM
hjic-833	87	3	,	,	PUNCT
hjic-833	87	4	14	14	NUM
hjic-833	87	5	]	]	PUNCT
hjic-833	87	6	,	,	PUNCT
hjic-833	87	7	in	in	ADP
hjic-833	87	8	the	the	DET
hjic-833	87	9	case	case	NOUN
hjic-833	87	10	of	of	ADP
hjic-833	87	11	high	high	ADJ
hjic-833	87	12	dipole	dipole	NOUN
hjic-833	87	13	moments	moment	NOUN
hjic-833	87	14	this	this	DET
hjic-833	87	15	exponential	exponential	ADJ
hjic-833	87	16	expression	expression	NOUN
hjic-833	87	17	turns	turn	VERB
hjic-833	87	18	into	into	ADP
hjic-833	87	19	a	a	DET
hjic-833	87	20	power	power	NOUN
hjic-833	87	21	law	law	NOUN
hjic-833	87	22	:	:	PUNCT
hjic-833	87	23	g(k	g(k	NOUN
hjic-833	87	24	)	)	PUNCT
hjic-833	87	25	∝	∝	PROPN
hjic-833	87	26	k−ι	k−ι	PROPN
hjic-833	87	27	,	,	PUNCT
hjic-833	87	28	with	with	ADP
hjic-833	87	29	exponent	exponent	PROPN
hjic-833	87	30	ι	ι	PROPN
hjic-833	88	1	≈	≈	PROPN
hjic-833	88	2	2.0−	2.0−	NUM
hjic-833	88	3	2.5	2.5	NUM
hjic-833	88	4	.	.	PUNCT
hjic-833	89	1	our	our	PRON
hjic-833	89	2	investigation	investigation	NOUN
hjic-833	89	3	was	be	AUX
hjic-833	89	4	performed	perform	VERB
hjic-833	89	5	in	in	ADP
hjic-833	89	6	a	a	DET
hjic-833	89	7	dipolar	dipolar	ADJ
hjic-833	89	8	hardsphere	hardsphere	NOUN
hjic-833	89	9	(	(	PUNCT
hjic-833	89	10	dhs	dhs	PROPN
hjic-833	89	11	)	)	PUNCT
hjic-833	89	12	monodisperse	monodisperse	NOUN
hjic-833	89	13	system	system	NOUN
hjic-833	89	14	with	with	ADP
hjic-833	89	15	a	a	DET
hjic-833	89	16	permanent	permanent	ADJ
hjic-833	89	17	magnetic	magnetic	ADJ
hjic-833	89	18	dipole	dipole	NOUN
hjic-833	89	19	moment	moment	NOUN
hjic-833	89	20	and	and	CCONJ
hjic-833	89	21	of	of	ADP
hjic-833	89	22	fixed	fix	VERB
hjic-833	89	23	density	density	NOUN
hjic-833	89	24	.	.	PUNCT
hjic-833	90	1	it	it	PRON
hjic-833	90	2	is	be	AUX
hjic-833	90	3	supposed	suppose	VERB
hjic-833	90	4	that	that	SCONJ
hjic-833	90	5	the	the	DET
hjic-833	90	6	chains	chain	NOUN
hjic-833	90	7	are	be	AUX
hjic-833	90	8	perfectly	perfectly	ADV
hjic-833	90	9	straight	straight	ADJ
hjic-833	90	10	and	and	CCONJ
hjic-833	90	11	parallel	parallel	ADJ
hjic-833	90	12	to	to	ADP
hjic-833	90	13	the	the	DET
hjic-833	90	14	local	local	ADJ
hjic-833	90	15	magnetic	magnetic	ADJ
hjic-833	90	16	field	field	NOUN
hjic-833	90	17	.	.	PUNCT
hjic-833	91	1	furthermore	furthermore	ADV
hjic-833	91	2	,	,	PUNCT
hjic-833	91	3	the	the	DET
hjic-833	91	4	average	average	ADJ
hjic-833	91	5	distance	distance	NOUN
hjic-833	91	6	between	between	ADP
hjic-833	91	7	two	two	NUM
hjic-833	91	8	neighbouring	neighbouring	ADJ
hjic-833	91	9	particles	particle	NOUN
hjic-833	91	10	in	in	ADP
hjic-833	91	11	a	a	DET
hjic-833	91	12	chain	chain	NOUN
hjic-833	91	13	is	be	AUX
hjic-833	91	14	the	the	DET
hjic-833	91	15	same	same	ADJ
hjic-833	91	16	as	as	ADP
hjic-833	91	17	the	the	DET
hjic-833	91	18	distance	distance	NOUN
hjic-833	91	19	between	between	ADP
hjic-833	91	20	two	two	NUM
hjic-833	91	21	neighbouring	neighbouring	ADJ
hjic-833	91	22	parallel	parallel	ADJ
hjic-833	91	23	chains	chain	NOUN
hjic-833	91	24	.	.	PUNCT
hjic-833	92	1	the	the	DET
hjic-833	92	2	particles	particle	NOUN
hjic-833	92	3	interact	interact	VERB
hjic-833	92	4	with	with	ADP
hjic-833	92	5	each	each	DET
hjic-833	92	6	other	other	ADJ
hjic-833	92	7	only	only	ADV
hjic-833	92	8	by	by	ADP
hjic-833	92	9	the	the	DET
hjic-833	92	10	evolved	evolve	VERB
hjic-833	92	11	mean	mean	NOUN
hjic-833	92	12	magnetic	magnetic	ADJ
hjic-833	92	13	field	field	NOUN
hjic-833	92	14	and	and	CCONJ
hjic-833	92	15	the	the	DET
hjic-833	92	16	applied	apply	VERB
hjic-833	92	17	external	external	ADJ
hjic-833	92	18	magnetic	magnetic	ADJ
hjic-833	92	19	field	field	NOUN
hjic-833	92	20	is	be	AUX
hjic-833	92	21	superimposed	superimpose	VERB
hjic-833	92	22	on	on	ADP
hjic-833	92	23	this	this	PRON
hjic-833	92	24	,	,	PUNCT
hjic-833	92	25	thus	thus	ADV
hjic-833	92	26	,	,	PUNCT
hjic-833	92	27	the	the	DET
hjic-833	92	28	chains	chain	NOUN
hjic-833	92	29	influence	influence	VERB
hjic-833	92	30	each	each	DET
hjic-833	92	31	other	other	ADJ
hjic-833	92	32	only	only	ADV
hjic-833	92	33	by	by	ADP
hjic-833	92	34	this	this	DET
hjic-833	92	35	mean	mean	ADJ
hjic-833	92	36	magnetic	magnetic	ADJ
hjic-833	92	37	field	field	NOUN
hjic-833	92	38	.	.	PUNCT
hjic-833	93	1	2	2	X
hjic-833	93	2	.	.	X
hjic-833	93	3	theory	theory	NOUN
hjic-833	93	4	2.1	2.1	NUM
hjic-833	93	5	the	the	DET
hjic-833	93	6	appearance	appearance	NOUN
hjic-833	93	7	of	of	ADP
hjic-833	93	8	probability	probability	NOUN
hjic-833	93	9	analysis	analysis	NOUN
hjic-833	93	10	in	in	ADP
hjic-833	93	11	the	the	DET
hjic-833	93	12	initial	initial	ADJ
hjic-833	93	13	magnetic	magnetic	ADJ
hjic-833	93	14	susceptibility	susceptibility	NOUN
hjic-833	93	15	the	the	DET
hjic-833	93	16	distribution	distribution	NOUN
hjic-833	93	17	of	of	ADP
hjic-833	93	18	chains	chain	NOUN
hjic-833	93	19	was	be	AUX
hjic-833	93	20	calculated	calculate	VERB
hjic-833	93	21	with	with	ADP
hjic-833	93	22	the	the	DET
hjic-833	93	23	aid	aid	NOUN
hjic-833	93	24	of	of	ADP
hjic-833	93	25	probability	probability	NOUN
hjic-833	93	26	analysis	analysis	NOUN
hjic-833	93	27	in	in	ADP
hjic-833	93	28	a	a	DET
hjic-833	93	29	zero	zero	NUM
hjic-833	93	30	applied	apply	VERB
hjic-833	93	31	magnetic	magnetic	ADJ
hjic-833	93	32	field	field	NOUN
hjic-833	93	33	.	.	PUNCT
hjic-833	94	1	as	as	SCONJ
hjic-833	94	2	was	be	AUX
hjic-833	94	3	mentioned	mention	VERB
hjic-833	94	4	in	in	ADP
hjic-833	94	5	the	the	DET
hjic-833	94	6	“	"	PUNCT
hjic-833	94	7	introduction	introduction	NOUN
hjic-833	94	8	”	"	PUNCT
hjic-833	94	9	,	,	PUNCT
hjic-833	94	10	weiss	weiss	PROPN
hjic-833	94	11	’	'	PUNCT
hjic-833	94	12	theory	theory	NOUN
hjic-833	94	13	states	state	VERB
hjic-833	94	14	that	that	SCONJ
hjic-833	94	15	the	the	DET
hjic-833	94	16	effective	effective	ADJ
hjic-833	94	17	(	(	PUNCT
hjic-833	94	18	now	now	ADV
hjic-833	94	19	“	"	PUNCT
hjic-833	94	20	local	local	ADJ
hjic-833	94	21	”	"	PUNCT
hjic-833	94	22	)	)	PUNCT
hjic-833	94	23	magnetic	magnetic	ADJ
hjic-833	94	24	field	field	NOUN
hjic-833	94	25	converges	converge	VERB
hjic-833	94	26	to	to	ADP
hjic-833	94	27	zero	zero	NUM
hjic-833	94	28	when	when	SCONJ
hjic-833	94	29	χl	χl	X
hjic-833	94	30	<	<	X
hjic-833	94	31	3/4π	3/4π	NUM
hjic-833	94	32	and	and	CCONJ
hjic-833	94	33	non	non	ADJ
hjic-833	94	34	-	-	ADJ
hjic-833	94	35	zero	zero	NUM
hjic-833	94	36	values	value	NOUN
hjic-833	94	37	when	when	SCONJ
hjic-833	94	38	χl	χl	X
hjic-833	94	39	≥	≥	NOUN
hjic-833	94	40	3/4π	3/4π	NUM
hjic-833	94	41	.	.	PUNCT
hjic-833	95	1	the	the	DET
hjic-833	95	2	central	central	ADJ
hjic-833	95	3	and	and	CCONJ
hjic-833	95	4	surrounding	surround	VERB
hjic-833	95	5	particles	particle	NOUN
hjic-833	95	6	are	be	AUX
hjic-833	95	7	under	under	ADP
hjic-833	95	8	the	the	DET
hjic-833	95	9	influence	influence	NOUN
hjic-833	95	10	of	of	ADP
hjic-833	95	11	this	this	DET
hjic-833	95	12	local	local	ADJ
hjic-833	95	13	magnetic	magnetic	ADJ
hjic-833	95	14	field	field	NOUN
hjic-833	95	15	.	.	PUNCT
hjic-833	96	1	the	the	DET
hjic-833	96	2	chain	chain	NOUN
hjic-833	96	3	is	be	AUX
hjic-833	96	4	oriented	orient	VERB
hjic-833	96	5	in	in	ADP
hjic-833	96	6	the	the	DET
hjic-833	96	7	same	same	ADJ
hjic-833	96	8	direction	direction	NOUN
hjic-833	96	9	as	as	ADP
hjic-833	96	10	the	the	DET
hjic-833	96	11	local	local	ADJ
hjic-833	96	12	magnetic	magnetic	ADJ
hjic-833	96	13	field	field	NOUN
hjic-833	96	14	.	.	PUNCT
hjic-833	97	1	let	let	VERB
hjic-833	97	2	us	we	PRON
hjic-833	97	3	denote	denote	VERB
hjic-833	97	4	the	the	DET
hjic-833	97	5	probability	probability	NOUN
hjic-833	97	6	of	of	ADP
hjic-833	97	7	chain	chain	NOUN
hjic-833	97	8	formation	formation	NOUN
hjic-833	97	9	between	between	ADP
hjic-833	97	10	two	two	NUM
hjic-833	97	11	particles	particle	NOUN
hjic-833	97	12	whose	whose	DET
hjic-833	97	13	direction	direction	NOUN
hjic-833	97	14	relative	relative	ADJ
hjic-833	97	15	to	to	ADP
hjic-833	97	16	each	each	DET
hjic-833	97	17	other	other	ADJ
hjic-833	97	18	is	be	AUX
hjic-833	97	19	parallel	parallel	ADJ
hjic-833	97	20	to	to	ADP
hjic-833	97	21	the	the	DET
hjic-833	97	22	local	local	ADJ
hjic-833	97	23	magnetic	magnetic	ADJ
hjic-833	97	24	field	field	NOUN
hjic-833	97	25	by	by	ADP
hjic-833	97	26	p.	p.	NOUN
hjic-833	97	27	now	now	ADV
hjic-833	97	28	using	use	VERB
hjic-833	97	29	this	this	DET
hjic-833	97	30	approach	approach	NOUN
hjic-833	97	31	the	the	DET
hjic-833	97	32	exact	exact	ADJ
hjic-833	97	33	distribution	distribution	NOUN
hjic-833	97	34	of	of	ADP
hjic-833	97	35	chain	chain	NOUN
hjic-833	97	36	length	length	NOUN
hjic-833	97	37	can	can	AUX
hjic-833	97	38	be	be	AUX
hjic-833	97	39	calculated	calculate	VERB
hjic-833	97	40	because	because	SCONJ
hjic-833	97	41	the	the	DET
hjic-833	97	42	probability	probability	NOUN
hjic-833	97	43	that	that	SCONJ
hjic-833	97	44	the	the	DET
hjic-833	97	45	chain	chain	NOUN
hjic-833	97	46	length	length	NOUN
hjic-833	97	47	ought	ought	AUX
hjic-833	97	48	to	to	PART
hjic-833	97	49	be	be	AUX
hjic-833	97	50	equal	equal	ADJ
hjic-833	97	51	to	to	ADP
hjic-833	97	52	k	k	PROPN
hjic-833	97	53	follows	follow	VERB
hjic-833	97	54	the	the	DET
hjic-833	97	55	geometric	geometric	ADJ
hjic-833	97	56	distribution	distribution	NOUN
hjic-833	97	57	with	with	ADP
hjic-833	97	58	parameter	parameter	NOUN
hjic-833	97	59	q	q	NOUN
hjic-833	97	60	:	:	PUNCT
hjic-833	97	61	gk	gk	NOUN
hjic-833	97	62	=	=	SYM
hjic-833	97	63	qpk−1	qpk−1	PROPN
hjic-833	97	64	,	,	PUNCT
hjic-833	97	65	(	(	PUNCT
hjic-833	97	66	4	4	X
hjic-833	97	67	)	)	PUNCT
hjic-833	97	68	where	where	SCONJ
hjic-833	97	69	q	q	NOUN
hjic-833	97	70	=	=	SYM
hjic-833	97	71	1−p	1−p	NUM
hjic-833	97	72	and	and	CCONJ
hjic-833	97	73	the	the	DET
hjic-833	97	74	“	"	PUNCT
hjic-833	97	75	chain	chain	NOUN
hjic-833	97	76	distribution	distribution	NOUN
hjic-833	97	77	”	"	PUNCT
hjic-833	97	78	is	be	AUX
hjic-833	97	79	denoted	denote	VERB
hjic-833	97	80	by	by	ADP
hjic-833	97	81	gk	gk	PROPN
hjic-833	97	82	.	.	PUNCT
hjic-833	98	1	according	accord	VERB
hjic-833	98	2	to	to	ADP
hjic-833	98	3	its	its	PRON
hjic-833	98	4	definition	definition	NOUN
hjic-833	98	5	the	the	DET
hjic-833	98	6	geometric	geometric	ADJ
hjic-833	98	7	distribution	distribution	NOUN
hjic-833	98	8	shows	show	VERB
hjic-833	98	9	the	the	DET
hjic-833	98	10	probability	probability	NOUN
hjic-833	98	11	that	that	SCONJ
hjic-833	98	12	a	a	DET
hjic-833	98	13	kth	kth	PROPN
hjic-833	98	14	particle	particle	NOUN
hjic-833	98	15	is	be	AUX
hjic-833	98	16	connected	connect	VERB
hjic-833	98	17	to	to	ADP
hjic-833	98	18	a	a	DET
hjic-833	98	19	chain	chain	NOUN
hjic-833	98	20	of	of	ADP
hjic-833	98	21	length	length	NOUN
hjic-833	98	22	k	k	PROPN
hjic-833	99	1	−	−	PROPN
hjic-833	99	2	1	1	NUM
hjic-833	99	3	thus	thus	ADV
hjic-833	99	4	forming	form	VERB
hjic-833	99	5	a	a	DET
hjic-833	99	6	chain	chain	NOUN
hjic-833	99	7	of	of	ADP
hjic-833	99	8	length	length	NOUN
hjic-833	99	9	k.	k.	PROPN
hjic-833	100	1	a	a	DET
hjic-833	100	2	geometric	geometric	ADJ
hjic-833	100	3	sequence	sequence	NOUN
hjic-833	100	4	is	be	AUX
hjic-833	100	5	described	describe	VERB
hjic-833	100	6	in	in	ADP
hjic-833	100	7	eq	eq	ADP
hjic-833	100	8	.	.	PROPN
hjic-833	100	9	4	4	NUM
hjic-833	100	10	,	,	PUNCT
hjic-833	100	11	where	where	SCONJ
hjic-833	100	12	the	the	DET
hjic-833	100	13	common	common	ADJ
hjic-833	100	14	ratio	ratio	NOUN
hjic-833	100	15	is	be	AUX
hjic-833	100	16	denoted	denote	VERB
hjic-833	100	17	by	by	ADP
hjic-833	100	18	p	p	NOUN
hjic-833	100	19	and	and	CCONJ
hjic-833	100	20	the	the	DET
hjic-833	100	21	first	first	ADJ
hjic-833	100	22	term	term	NOUN
hjic-833	100	23	by	by	ADP
hjic-833	100	24	q.	q.	NOUN
hjic-833	100	25	the	the	DET
hjic-833	100	26	sum	sum	NOUN
hjic-833	100	27	of	of	ADP
hjic-833	100	28	the	the	DET
hjic-833	100	29	terms	term	NOUN
hjic-833	100	30	of	of	ADP
hjic-833	100	31	a	a	DET
hjic-833	100	32	geometric	geometric	ADJ
hjic-833	100	33	sequence	sequence	NOUN
hjic-833	100	34	is	be	AUX
hjic-833	100	35	s∞	s∞	NOUN
hjic-833	100	36	=	=	SYM
hjic-833	100	37	ft	ft	PROPN
hjic-833	100	38	1−cr	1−cr	NUM
hjic-833	100	39	,	,	PUNCT
hjic-833	100	40	thus	thus	ADV
hjic-833	100	41	,	,	PUNCT
hjic-833	100	42	∑∞	∑∞	NOUN
hjic-833	100	43	k=1	k=1	PUNCT
hjic-833	101	1	gk	gk	PROPN
hjic-833	101	2	=	=	PUNCT
hjic-833	101	3	q	q	PROPN
hjic-833	101	4	1−p	1−p	NUM
hjic-833	101	5	=	=	PUNCT
hjic-833	101	6	q	q	PUNCT
hjic-833	101	7	q	q	X
hjic-833	101	8	=	=	NOUN
hjic-833	101	9	1	1	X
hjic-833	101	10	.	.	PUNCT
hjic-833	102	1	it	it	PRON
hjic-833	102	2	is	be	AUX
hjic-833	102	3	also	also	ADV
hjic-833	102	4	important	important	ADJ
hjic-833	102	5	to	to	PART
hjic-833	102	6	calculate	calculate	VERB
hjic-833	102	7	the	the	DET
hjic-833	102	8	so	so	ADV
hjic-833	102	9	-	-	PUNCT
hjic-833	102	10	called	call	VERB
hjic-833	102	11	“	"	PUNCT
hjic-833	102	12	particle	particle	NOUN
hjic-833	102	13	distribution	distribution	NOUN
hjic-833	102	14	”	"	PUNCT
hjic-833	102	15	that	that	PRON
hjic-833	102	16	implies	imply	VERB
hjic-833	102	17	the	the	DET
hjic-833	102	18	number	number	NOUN
hjic-833	102	19	of	of	ADP
hjic-833	102	20	those	those	DET
hjic-833	102	21	particles	particle	NOUN
hjic-833	102	22	which	which	PRON
hjic-833	102	23	are	be	AUX
hjic-833	102	24	members	member	NOUN
hjic-833	102	25	of	of	ADP
hjic-833	102	26	the	the	DET
hjic-833	102	27	chains	chain	NOUN
hjic-833	102	28	of	of	ADP
hjic-833	102	29	length	length	NOUN
hjic-833	103	1	k	k	NOUN
hjic-833	103	2	:	:	PUNCT
hjic-833	103	3	hk	hk	PROPN
hjic-833	103	4	=	=	PUNCT
hjic-833	103	5	q2kpk−1	q2kpk−1	PROPN
hjic-833	103	6	.	.	PUNCT
hjic-833	104	1	(	(	PUNCT
hjic-833	104	2	5	5	X
hjic-833	104	3	)	)	PUNCT
hjic-833	104	4	the	the	DET
hjic-833	104	5	detailed	detailed	ADJ
hjic-833	104	6	deduction	deduction	NOUN
hjic-833	104	7	of	of	ADP
hjic-833	104	8	hk	hk	PROPN
hjic-833	104	9	and	and	CCONJ
hjic-833	104	10	the	the	DET
hjic-833	104	11	sum	sum	NOUN
hjic-833	104	12	of	of	ADP
hjic-833	104	13	hk	hk	PROPN
hjic-833	104	14	terms	term	NOUN
hjic-833	104	15	are	be	AUX
hjic-833	104	16	described	describe	VERB
hjic-833	104	17	in	in	ADP
hjic-833	104	18	appendix	appendix	ADJ
hjic-833	104	19	a.	a.	NOUN
hjic-833	104	20	the	the	DET
hjic-833	104	21	expected	expect	VERB
hjic-833	104	22	value	value	NOUN
hjic-833	104	23	of	of	ADP
hjic-833	104	24	the	the	DET
hjic-833	104	25	geometric	geometric	ADJ
hjic-833	104	26	distribution	distribution	NOUN
hjic-833	104	27	with	with	ADP
hjic-833	104	28	parameter	parameter	NOUN
hjic-833	104	29	q	q	PROPN
hjic-833	104	30	is	be	AUX
hjic-833	104	31	1	1	NUM
hjic-833	104	32	/	/	SYM
hjic-833	104	33	q	q	NOUN
hjic-833	104	34	,	,	PUNCT
hjic-833	104	35	thus	thus	ADV
hjic-833	104	36	,	,	PUNCT
hjic-833	104	37	here	here	ADV
hjic-833	104	38	the	the	DET
hjic-833	104	39	average	average	ADJ
hjic-833	104	40	chain	chain	NOUN
hjic-833	104	41	length	length	NOUN
hjic-833	104	42	is	be	AUX
hjic-833	104	43	1	1	NUM
hjic-833	104	44	/	/	SYM
hjic-833	104	45	q.	q.	NOUN
hjic-833	104	46	the	the	DET
hjic-833	104	47	number	number	NOUN
hjic-833	104	48	of	of	ADP
hjic-833	104	49	chains	chain	NOUN
hjic-833	104	50	is	be	AUX
hjic-833	104	51	equal	equal	ADJ
hjic-833	104	52	to	to	ADP
hjic-833	104	53	the	the	DET
hjic-833	104	54	number	number	NOUN
hjic-833	104	55	of	of	ADP
hjic-833	104	56	particles	particle	NOUN
hjic-833	104	57	divided	divide	VERB
hjic-833	104	58	by	by	ADP
hjic-833	104	59	the	the	DET
hjic-833	104	60	average	average	ADJ
hjic-833	104	61	chain	chain	NOUN
hjic-833	104	62	length	length	NOUN
hjic-833	104	63	:	:	PUNCT
hjic-833	104	64	n	n	PROPN
hjic-833	104	65	1	1	NUM
hjic-833	104	66	/	/	SYM
hjic-833	104	67	q	q	NOUN
hjic-833	104	68	=	=	SYM
hjic-833	104	69	nq	nq	PROPN
hjic-833	104	70	,	,	PUNCT
hjic-833	104	71	where	where	SCONJ
hjic-833	104	72	the	the	DET
hjic-833	104	73	number	number	NOUN
hjic-833	104	74	of	of	ADP
hjic-833	104	75	particles	particle	NOUN
hjic-833	104	76	is	be	AUX
hjic-833	104	77	denoted	denote	VERB
hjic-833	104	78	by	by	ADP
hjic-833	104	79	n.	n.	NOUN
hjic-833	104	80	until	until	ADP
hjic-833	104	81	now	now	ADV
hjic-833	104	82	only	only	ADV
hjic-833	104	83	the	the	DET
hjic-833	104	84	local	local	ADJ
hjic-833	104	85	magnetic	magnetic	ADJ
hjic-833	104	86	field	field	NOUN
hjic-833	104	87	which	which	PRON
hjic-833	104	88	arises	arise	VERB
hjic-833	104	89	from	from	ADP
hjic-833	104	90	the	the	DET
hjic-833	104	91	strength	strength	NOUN
hjic-833	104	92	of	of	ADP
hjic-833	104	93	interaction	interaction	NOUN
hjic-833	104	94	energies	energy	NOUN
hjic-833	104	95	between	between	ADP
hjic-833	104	96	neighbouring	neighbouring	ADJ
hjic-833	104	97	particles	particle	NOUN
hjic-833	104	98	and	and	CCONJ
hjic-833	104	99	induces	induce	VERB
hjic-833	104	100	spontaneous	spontaneous	ADJ
hjic-833	104	101	magnetization	magnetization	NOUN
hjic-833	104	102	in	in	ADP
hjic-833	104	103	a	a	DET
hjic-833	104	104	random	random	ADJ
hjic-833	104	105	direction	direction	NOUN
hjic-833	104	106	has	have	AUX
hjic-833	104	107	been	be	AUX
hjic-833	104	108	discussed	discuss	VERB
hjic-833	104	109	,	,	PUNCT
hjic-833	104	110	thus	thus	ADV
hjic-833	104	111	,	,	PUNCT
hjic-833	104	112	the	the	DET
hjic-833	104	113	total	total	ADJ
hjic-833	104	114	magnetization	magnetization	NOUN
hjic-833	104	115	of	of	ADP
hjic-833	104	116	the	the	DET
hjic-833	104	117	system	system	NOUN
hjic-833	104	118	of	of	ADP
hjic-833	104	119	volume	volume	NOUN
hjic-833	104	120	v	v	NOUN
hjic-833	104	121	is	be	AUX
hjic-833	104	122	equal	equal	ADJ
hjic-833	104	123	to	to	ADP
hjic-833	104	124	zero	zero	NUM
hjic-833	104	125	.	.	PUNCT
hjic-833	105	1	when	when	SCONJ
hjic-833	105	2	an	an	DET
hjic-833	105	3	infinitesimal	infinitesimal	ADJ
hjic-833	105	4	external	external	ADJ
hjic-833	105	5	magnetic	magnetic	ADJ
hjic-833	105	6	field	field	NOUN
hjic-833	105	7	h0	h0	NOUN
hjic-833	105	8	is	be	AUX
hjic-833	105	9	switched	switch	VERB
hjic-833	105	10	on	on	ADP
hjic-833	105	11	,	,	PUNCT
hjic-833	105	12	non	non	ADJ
hjic-833	105	13	-	-	ADJ
hjic-833	105	14	zero	zero	NUM
hjic-833	105	15	total	total	ADJ
hjic-833	105	16	magnetization	magnetization	NOUN
hjic-833	105	17	is	be	AUX
hjic-833	105	18	formed	form	VERB
hjic-833	105	19	.	.	PUNCT
hjic-833	106	1	since	since	SCONJ
hjic-833	106	2	h0	h0	PROPN
hjic-833	106	3	is	be	AUX
hjic-833	106	4	parallel	parallel	ADJ
hjic-833	106	5	to	to	ADP
hjic-833	106	6	m	m	PRON
hjic-833	106	7	,	,	PUNCT
hjic-833	106	8	scalar	scalar	ADJ
hjic-833	106	9	notations	notation	NOUN
hjic-833	106	10	are	be	AUX
hjic-833	106	11	used	use	VERB
hjic-833	106	12	in	in	ADP
hjic-833	106	13	the	the	DET
hjic-833	106	14	following	following	NOUN
hjic-833	106	15	.	.	PUNCT
hjic-833	107	1	as	as	SCONJ
hjic-833	107	2	was	be	AUX
hjic-833	107	3	observed	observe	VERB
hjic-833	107	4	from	from	ADP
hjic-833	107	5	pshenichnikov	pshenichnikov	PROPN
hjic-833	107	6	’s	’s	PART
hjic-833	107	7	model	model	NOUN
hjic-833	107	8	the	the	DET
hjic-833	107	9	effective	effective	ADJ
hjic-833	107	10	magnetic	magnetic	ADJ
hjic-833	107	11	field	field	NOUN
hjic-833	107	12	is	be	AUX
hjic-833	107	13	the	the	DET
hjic-833	107	14	sum	sum	NOUN
hjic-833	107	15	of	of	ADP
hjic-833	107	16	the	the	DET
hjic-833	107	17	external	external	ADJ
hjic-833	107	18	h0	h0	NOUN
hjic-833	107	19	and	and	CCONJ
hjic-833	107	20	secondary	secondary	ADJ
hjic-833	107	21	(	(	PUNCT
hjic-833	107	22	4π/3)m(h0	4π/3)m(h0	NOUN
hjic-833	107	23	)	)	PUNCT
hjic-833	107	24	magnetic	magnetic	ADJ
hjic-833	107	25	fields	field	NOUN
hjic-833	107	26	.	.	PUNCT
hjic-833	108	1	the	the	DET
hjic-833	108	2	question	question	NOUN
hjic-833	108	3	arises	arise	VERB
hjic-833	108	4	why	why	SCONJ
hjic-833	108	5	it	it	PRON
hjic-833	108	6	is	be	AUX
hjic-833	108	7	legitimate	legitimate	ADJ
hjic-833	108	8	to	to	PART
hjic-833	108	9	use	use	VERB
hjic-833	108	10	the	the	DET
hjic-833	108	11	expression	expression	NOUN
hjic-833	108	12	of	of	ADP
hjic-833	108	13	effective	effective	ADJ
hjic-833	108	14	magnetic	magnetic	ADJ
hjic-833	108	15	field	field	NOUN
hjic-833	108	16	from	from	ADP
hjic-833	108	17	“	"	PUNCT
hjic-833	108	18	pshenichnikov	pshenichnikov	PROPN
hjic-833	108	19	”	"	PUNCT
hjic-833	108	20	(	(	PUNCT
hjic-833	108	21	table	table	NOUN
hjic-833	108	22	1	1	NUM
hjic-833	108	23	:	:	SYM
hjic-833	108	24	3.2	3.2	NUM
hjic-833	108	25	)	)	PUNCT
hjic-833	108	26	instead	instead	ADV
hjic-833	108	27	of	of	ADP
hjic-833	108	28	from	from	ADP
hjic-833	108	29	“	"	PUNCT
hjic-833	108	30	weiss	weiss	PROPN
hjic-833	108	31	”	"	PUNCT
hjic-833	108	32	(	(	PUNCT
hjic-833	108	33	table	table	NOUN
hjic-833	108	34	1	1	NUM
hjic-833	108	35	:	:	SYM
hjic-833	108	36	2.2	2.2	NUM
hjic-833	108	37	)	)	PUNCT
hjic-833	108	38	.	.	PUNCT
hjic-833	109	1	the	the	DET
hjic-833	109	2	answer	answer	NOUN
hjic-833	109	3	is	be	AUX
hjic-833	109	4	because	because	SCONJ
hjic-833	109	5	h0	h0	NOUN
hjic-833	109	6	modifies	modify	VERB
hjic-833	109	7	infinitesimally	infinitesimally	ADV
hjic-833	109	8	the	the	DET
hjic-833	109	9	orientation	orientation	NOUN
hjic-833	109	10	of	of	ADP
hjic-833	109	11	the	the	DET
hjic-833	109	12	chains	chain	NOUN
hjic-833	109	13	but	but	CCONJ
hjic-833	109	14	does	do	AUX
hjic-833	109	15	not	not	PART
hjic-833	109	16	align	align	VERB
hjic-833	109	17	them	they	PRON
hjic-833	109	18	with	with	ADP
hjic-833	109	19	its	its	PRON
hjic-833	109	20	own	own	ADJ
hjic-833	109	21	direction	direction	NOUN
hjic-833	109	22	,	,	PUNCT
hjic-833	109	23	thus	thus	ADV
hjic-833	109	24	,	,	PUNCT
hjic-833	109	25	the	the	DET
hjic-833	109	26	average	average	ADJ
hjic-833	109	27	angle	angle	NOUN
hjic-833	109	28	between	between	ADP
hjic-833	109	29	the	the	DET
hjic-833	109	30	local	local	ADJ
hjic-833	109	31	and	and	CCONJ
hjic-833	109	32	external	external	ADJ
hjic-833	109	33	or	or	CCONJ
hjic-833	109	34	even	even	ADV
hjic-833	109	35	the	the	DET
hjic-833	109	36	effective	effective	ADJ
hjic-833	109	37	magnetic	magnetic	ADJ
hjic-833	109	38	fields	field	NOUN
hjic-833	109	39	is	be	AUX
hjic-833	109	40	not	not	PART
hjic-833	109	41	equal	equal	ADJ
hjic-833	109	42	to	to	ADP
hjic-833	109	43	zero	zero	NUM
hjic-833	109	44	.	.	PUNCT
hjic-833	110	1	when	when	SCONJ
hjic-833	110	2	calculating	calculate	VERB
hjic-833	110	3	the	the	DET
hjic-833	110	4	initial	initial	ADJ
hjic-833	110	5	magnetic	magnetic	ADJ
hjic-833	110	6	susceptibility	susceptibility	NOUN
hjic-833	110	7	,	,	PUNCT
hjic-833	110	8	a	a	DET
hjic-833	110	9	chain	chain	NOUN
hjic-833	110	10	of	of	ADP
hjic-833	110	11	length	length	NOUN
hjic-833	110	12	k	k	PROPN
hjic-833	110	13	is	be	AUX
hjic-833	110	14	considered	consider	VERB
hjic-833	110	15	as	as	ADP
hjic-833	110	16	a	a	DET
hjic-833	110	17	particle	particle	NOUN
hjic-833	110	18	with	with	ADP
hjic-833	110	19	a	a	DET
hjic-833	110	20	dipole	dipole	NOUN
hjic-833	110	21	moment	moment	NOUN
hjic-833	110	22	km	km	PROPN
hjic-833	110	23	,	,	PUNCT
hjic-833	110	24	thus	thus	ADV
hjic-833	110	25	,	,	PUNCT
hjic-833	110	26	in	in	ADP
hjic-833	110	27	terms	term	NOUN
hjic-833	110	28	of	of	ADP
hjic-833	110	29	magnetization	magnetization	NOUN
hjic-833	110	30	the	the	DET
hjic-833	110	31	argument	argument	NOUN
hjic-833	110	32	of	of	ADP
hjic-833	110	33	the	the	DET
hjic-833	110	34	langevin	langevin	PROPN
hjic-833	110	35	function	function	NOUN
hjic-833	110	36	is	be	AUX
hjic-833	110	37	kmhe	kmhe	NOUN
hjic-833	110	38	kbt	kbt	PROPN
hjic-833	110	39	.	.	PUNCT
hjic-833	111	1	the	the	DET
hjic-833	111	2	langevin	langevin	PROPN
hjic-833	111	3	function	function	NOUN
hjic-833	111	4	is	be	AUX
hjic-833	111	5	weighted	weight	VERB
hjic-833	111	6	by	by	ADP
hjic-833	111	7	the	the	DET
hjic-833	111	8	distribution	distribution	NOUN
hjic-833	111	9	hk	hk	PROPN
hjic-833	111	10	,	,	PUNCT
hjic-833	111	11	and	and	CCONJ
hjic-833	111	12	finally	finally	ADV
hjic-833	111	13	the	the	DET
hjic-833	111	14	gradient	gradient	NOUN
hjic-833	111	15	of	of	ADP
hjic-833	111	16	magnetization	magnetization	NOUN
hjic-833	111	17	in	in	ADP
hjic-833	111	18	an	an	DET
hjic-833	111	19	infinitesimal	infinitesimal	ADJ
hjic-833	111	20	external	external	ADJ
hjic-833	111	21	magnetic	magnetic	ADJ
hjic-833	111	22	field	field	NOUN
hjic-833	111	23	is	be	AUX
hjic-833	111	24	calculated	calculate	VERB
hjic-833	111	25	as	as	ADP
hjic-833	111	26	χ0	χ0	PROPN
hjic-833	111	27	=	=	SYM
hjic-833	111	28	∂	∂	CCONJ
hjic-833	111	29	∂h0	∂h0	ADV
hjic-833	111	30	∣∣∣∣	∣∣∣∣	NOUN
hjic-833	111	31	h0=0	h0=0	PROPN
hjic-833	111	32	ρm	ρm	ADP
hjic-833	111	33	∞∑	∞∑	NUM
hjic-833	111	34	k=1	k=1	X
hjic-833	111	35	hkl	hkl	NOUN
hjic-833	111	36	(	(	PUNCT
hjic-833	111	37	kmhe	kmhe	NOUN
hjic-833	111	38	kbt	kbt	PROPN
hjic-833	111	39	)	)	PUNCT
hjic-833	111	40	.	.	PUNCT
hjic-833	112	1	(	(	PUNCT
hjic-833	112	2	6	6	X
hjic-833	112	3	)	)	PUNCT
hjic-833	112	4	an	an	DET
hjic-833	112	5	infinitesimally	infinitesimally	ADV
hjic-833	112	6	weak	weak	ADJ
hjic-833	112	7	external	external	ADJ
hjic-833	112	8	magnetic	magnetic	ADJ
hjic-833	112	9	field	field	NOUN
hjic-833	112	10	can	can	AUX
hjic-833	112	11	be	be	AUX
hjic-833	112	12	written	write	VERB
hjic-833	112	13	as	as	ADP
hjic-833	112	14	χ0	χ0	PROPN
hjic-833	112	15	=	=	PROPN
hjic-833	112	16	1	1	NUM
hjic-833	112	17	+	+	CCONJ
hjic-833	112	18	p	p	X
hjic-833	112	19	1−	1−	NUM
hjic-833	112	20	p	p	NOUN
hjic-833	112	21	χl	χl	X
hjic-833	112	22	(	(	PUNCT
hjic-833	112	23	1	1	NUM
hjic-833	112	24	+	+	SYM
hjic-833	112	25	4π	4π	NUM
hjic-833	112	26	3	3	NUM
hjic-833	112	27	χl	χl	NOUN
hjic-833	112	28	)	)	PUNCT
hjic-833	112	29	,	,	PUNCT
hjic-833	112	30	(	(	PUNCT
hjic-833	112	31	7	7	X
hjic-833	112	32	)	)	PUNCT
hjic-833	112	33	where	where	SCONJ
hjic-833	112	34	the	the	DET
hjic-833	112	35	following	follow	VERB
hjic-833	112	36	infinite	infinite	ADJ
hjic-833	112	37	expression	expression	NOUN
hjic-833	112	38	is	be	AUX
hjic-833	112	39	used	use	VERB
hjic-833	112	40	(	(	PUNCT
hjic-833	112	41	|p|	|p|	PRON
hjic-833	112	42	<	<	X
hjic-833	112	43	1	1	NUM
hjic-833	112	44	):	):	PUNCT
hjic-833	112	45	∞∑	∞∑	NUM
hjic-833	112	46	k=1	k=1	SYM
hjic-833	112	47	pk−1k2	pk−1k2	NOUN
hjic-833	112	48	=	=	NOUN
hjic-833	112	49	1	1	NUM
hjic-833	112	50	+	+	CCONJ
hjic-833	112	51	p	p	X
hjic-833	112	52	(	(	PUNCT
hjic-833	112	53	1−	1−	NUM
hjic-833	112	54	p)3	p)3	NOUN
hjic-833	112	55	.	.	PUNCT
hjic-833	113	1	(	(	PUNCT
hjic-833	113	2	8)	8)	NUM
hjic-833	113	3	the	the	DET
hjic-833	113	4	detailed	detailed	ADJ
hjic-833	113	5	derivation	derivation	NOUN
hjic-833	113	6	of	of	ADP
hjic-833	113	7	the	the	DET
hjic-833	113	8	initial	initial	ADJ
hjic-833	113	9	magnetic	magnetic	ADJ
hjic-833	113	10	susceptibility	susceptibility	NOUN
hjic-833	113	11	(	(	PUNCT
hjic-833	113	12	eq	eq	NOUN
hjic-833	113	13	.	.	NOUN
hjic-833	113	14	7	7	NUM
hjic-833	113	15	)	)	PUNCT
hjic-833	113	16	is	be	AUX
hjic-833	113	17	given	give	VERB
hjic-833	113	18	in	in	ADP
hjic-833	113	19	appendix	appendix	PROPN
hjic-833	113	20	b.	b.	PROPN
hjic-833	113	21	46(2	46(2	PROPN
hjic-833	113	22	)	)	PUNCT
hjic-833	113	23	pp	pp	ADV
hjic-833	113	24	.	.	PUNCT
hjic-833	114	1	47–54	47–54	NUM
hjic-833	114	2	(	(	PUNCT
hjic-833	114	3	2018	2018	NUM
hjic-833	114	4	)	)	PUNCT
hjic-833	114	5	50	50	NUM
hjic-833	114	6	nagy	nagy	NOUN
hjic-833	114	7	figure	figure	NOUN
hjic-833	114	8	1	1	NUM
hjic-833	114	9	:	:	PUNCT
hjic-833	114	10	the	the	DET
hjic-833	114	11	rates	rate	NOUN
hjic-833	114	12	of	of	ADP
hjic-833	114	13	the	the	DET
hjic-833	114	14	local	local	ADJ
hjic-833	114	15	magnetic	magnetic	ADJ
hjic-833	114	16	field	field	NOUN
hjic-833	114	17	as	as	ADP
hjic-833	114	18	a	a	DET
hjic-833	114	19	function	function	NOUN
hjic-833	114	20	of	of	ADP
hjic-833	114	21	the	the	DET
hjic-833	114	22	density	density	NOUN
hjic-833	114	23	from	from	ADP
hjic-833	114	24	eq	eq	NOUN
hjic-833	114	25	.	.	PROPN
hjic-833	114	26	9	9	NUM
hjic-833	114	27	at	at	ADP
hjic-833	114	28	three	three	NUM
hjic-833	114	29	different	different	ADJ
hjic-833	114	30	dipole	dipole	NOUN
hjic-833	114	31	moments	moment	NOUN
hjic-833	114	32	in	in	ADP
hjic-833	114	33	the	the	DET
hjic-833	114	34	absence	absence	NOUN
hjic-833	114	35	of	of	ADP
hjic-833	114	36	any	any	DET
hjic-833	114	37	external	external	ADJ
hjic-833	114	38	magnetic	magnetic	ADJ
hjic-833	114	39	field	field	NOUN
hjic-833	114	40	.	.	PUNCT
hjic-833	115	1	2.2	2.2	NUM
hjic-833	115	2	the	the	DET
hjic-833	115	3	numerical	numerical	ADJ
hjic-833	115	4	calculation	calculation	NOUN
hjic-833	115	5	of	of	ADP
hjic-833	115	6	the	the	DET
hjic-833	115	7	probability	probability	NOUN
hjic-833	115	8	of	of	ADP
hjic-833	115	9	chain	chain	NOUN
hjic-833	115	10	formation	formation	NOUN
hjic-833	115	11	“	"	PUNCT
hjic-833	115	12	p	p	NOUN
hjic-833	115	13	”	"	PUNCT
hjic-833	115	14	the	the	DET
hjic-833	115	15	main	main	ADJ
hjic-833	115	16	challenge	challenge	NOUN
hjic-833	115	17	of	of	ADP
hjic-833	115	18	our	our	PRON
hjic-833	115	19	approach	approach	NOUN
hjic-833	115	20	is	be	AUX
hjic-833	115	21	the	the	DET
hjic-833	115	22	determination	determination	NOUN
hjic-833	115	23	of	of	ADP
hjic-833	115	24	p.	p.	NOUN
hjic-833	115	25	the	the	DET
hjic-833	115	26	particles	particle	NOUN
hjic-833	115	27	form	form	VERB
hjic-833	115	28	chains	chain	NOUN
hjic-833	115	29	because	because	SCONJ
hjic-833	115	30	of	of	ADP
hjic-833	115	31	the	the	DET
hjic-833	115	32	local	local	ADJ
hjic-833	115	33	magnetic	magnetic	ADJ
hjic-833	115	34	field	field	NOUN
hjic-833	115	35	even	even	ADV
hjic-833	115	36	in	in	ADP
hjic-833	115	37	the	the	DET
hjic-833	115	38	absence	absence	NOUN
hjic-833	115	39	of	of	ADP
hjic-833	115	40	any	any	DET
hjic-833	115	41	applied	apply	VERB
hjic-833	115	42	external	external	ADJ
hjic-833	115	43	magnetic	magnetic	ADJ
hjic-833	115	44	field	field	NOUN
hjic-833	115	45	.	.	PUNCT
hjic-833	116	1	according	accord	VERB
hjic-833	116	2	to	to	ADP
hjic-833	116	3	weiss	weiss	PROPN
hjic-833	116	4	’	'	PUNCT
hjic-833	116	5	model	model	NOUN
hjic-833	116	6	when	when	SCONJ
hjic-833	116	7	χl	χl	X
hjic-833	116	8	≥	≥	PROPN
hjic-833	116	9	3/4π	3/4π	NUM
hjic-833	116	10	this	this	DET
hjic-833	116	11	local	local	ADJ
hjic-833	116	12	magnetic	magnetic	ADJ
hjic-833	116	13	field	field	NOUN
hjic-833	116	14	predicts	predict	VERB
hjic-833	116	15	an	an	DET
hjic-833	116	16	infinite	infinite	ADJ
hjic-833	116	17	initial	initial	ADJ
hjic-833	116	18	magnetic	magnetic	ADJ
hjic-833	116	19	susceptibility	susceptibility	NOUN
hjic-833	116	20	.	.	PUNCT
hjic-833	117	1	the	the	DET
hjic-833	117	2	problem	problem	NOUN
hjic-833	117	3	with	with	ADP
hjic-833	117	4	this	this	DET
hjic-833	117	5	model	model	NOUN
hjic-833	117	6	is	be	AUX
hjic-833	117	7	that	that	SCONJ
hjic-833	117	8	it	it	PRON
hjic-833	117	9	assumes	assume	VERB
hjic-833	117	10	that	that	SCONJ
hjic-833	117	11	the	the	DET
hjic-833	117	12	orientation	orientation	NOUN
hjic-833	117	13	of	of	ADP
hjic-833	117	14	the	the	DET
hjic-833	117	15	local	local	ADJ
hjic-833	117	16	magnetic	magnetic	ADJ
hjic-833	117	17	field	field	NOUN
hjic-833	117	18	is	be	AUX
hjic-833	117	19	parallel	parallel	ADJ
hjic-833	117	20	with	with	ADP
hjic-833	117	21	the	the	DET
hjic-833	117	22	external	external	ADJ
hjic-833	117	23	magnetic	magnetic	ADJ
hjic-833	117	24	field	field	NOUN
hjic-833	117	25	.	.	PUNCT
hjic-833	118	1	nevertheless	nevertheless	ADV
hjic-833	118	2	,	,	PUNCT
hjic-833	118	3	weiss	weiss	ADJ
hjic-833	118	4	’	'	PUNCT
hjic-833	118	5	model	model	NOUN
hjic-833	118	6	is	be	AUX
hjic-833	118	7	applicable	applicable	ADJ
hjic-833	118	8	to	to	PART
hjic-833	118	9	predict	predict	VERB
hjic-833	118	10	the	the	DET
hjic-833	118	11	extent	extent	NOUN
hjic-833	118	12	of	of	ADP
hjic-833	118	13	the	the	DET
hjic-833	118	14	local	local	ADJ
hjic-833	118	15	magnetic	magnetic	ADJ
hjic-833	118	16	field	field	NOUN
hjic-833	118	17	by	by	ADP
hjic-833	118	18	the	the	DET
hjic-833	118	19	expression	expression	NOUN
hjic-833	118	20	(	(	PUNCT
hjic-833	118	21	when	when	SCONJ
hjic-833	118	22	h0	h0	PROPN
hjic-833	118	23	=	=	PROPN
hjic-833	118	24	0	0	NUM
hjic-833	118	25	):	):	PUNCT
hjic-833	118	26	hl	hl	NOUN
hjic-833	118	27	=	=	SYM
hjic-833	118	28	4π	4π	NUM
hjic-833	118	29	3	3	NUM
hjic-833	118	30	ρml	ρml	NOUN
hjic-833	118	31	(	(	PUNCT
hjic-833	118	32	mhl	mhl	PROPN
hjic-833	118	33	kbt	kbt	PROPN
hjic-833	118	34	)	)	PUNCT
hjic-833	118	35	.	.	PUNCT
hjic-833	119	1	(	(	PUNCT
hjic-833	119	2	9	9	NUM
hjic-833	119	3	)	)	PUNCT
hjic-833	119	4	h∗l	h∗l	NOUN
hjic-833	119	5	as	as	ADP
hjic-833	119	6	a	a	DET
hjic-833	119	7	function	function	NOUN
hjic-833	119	8	of	of	ADP
hjic-833	119	9	the	the	DET
hjic-833	119	10	reduced	reduce	VERB
hjic-833	119	11	density	density	NOUN
hjic-833	119	12	ρ∗	ρ∗	PROPN
hjic-833	119	13	at	at	ADP
hjic-833	119	14	three	three	NUM
hjic-833	119	15	different	different	ADJ
hjic-833	119	16	dipole	dipole	NOUN
hjic-833	119	17	moments	moment	NOUN
hjic-833	119	18	is	be	AUX
hjic-833	119	19	presented	present	VERB
hjic-833	119	20	in	in	ADP
hjic-833	119	21	fig	fig	NOUN
hjic-833	119	22	.	.	PUNCT
hjic-833	120	1	1	1	X
hjic-833	120	2	.	.	PUNCT
hjic-833	121	1	the	the	DET
hjic-833	121	2	definitions	definition	NOUN
hjic-833	121	3	of	of	ADP
hjic-833	121	4	the	the	DET
hjic-833	121	5	reduced	reduce	VERB
hjic-833	121	6	quantities	quantity	NOUN
hjic-833	121	7	are	be	AUX
hjic-833	121	8	h∗	h∗	NOUN
hjic-833	121	9	=	=	PUNCT
hjic-833	121	10	h	h	PROPN
hjic-833	121	11	√	√	PROPN
hjic-833	121	12	σ3	σ3	PROPN
hjic-833	121	13	/	/	SYM
hjic-833	121	14	kbt	kbt	PROPN
hjic-833	121	15	;	;	PUNCT
hjic-833	121	16	m∗	m∗	NOUN
hjic-833	121	17	=	=	SYM
hjic-833	121	18	m	m	VERB
hjic-833	121	19	√	√	PROPN
hjic-833	121	20	σ3	σ3	PROPN
hjic-833	121	21	/	/	SYM
hjic-833	121	22	kbt	kbt	PROPN
hjic-833	121	23	;	;	PUNCT
hjic-833	121	24	m∗	m∗	NOUN
hjic-833	121	25	=	=	NOUN
hjic-833	121	26	m/	m/	NOUN
hjic-833	121	27	√	√	NOUN
hjic-833	121	28	σ3kbt	σ3kbt	NUM
hjic-833	121	29	.	.	PUNCT
hjic-833	122	1	all	all	DET
hjic-833	122	2	particles	particle	NOUN
hjic-833	122	3	are	be	AUX
hjic-833	122	4	considered	consider	VERB
hjic-833	122	5	to	to	PART
hjic-833	122	6	be	be	AUX
hjic-833	122	7	influenced	influence	VERB
hjic-833	122	8	by	by	ADP
hjic-833	122	9	this	this	DET
hjic-833	122	10	local	local	ADJ
hjic-833	122	11	magnetic	magnetic	ADJ
hjic-833	122	12	field	field	NOUN
hjic-833	122	13	hl	hl	NOUN
hjic-833	122	14	,	,	PUNCT
hjic-833	122	15	in	in	ADP
hjic-833	122	16	the	the	DET
hjic-833	122	17	absence	absence	NOUN
hjic-833	122	18	of	of	ADP
hjic-833	122	19	any	any	DET
hjic-833	122	20	external	external	ADJ
hjic-833	122	21	magnetic	magnetic	ADJ
hjic-833	122	22	field	field	NOUN
hjic-833	122	23	h0	h0	NOUN
hjic-833	122	24	when	when	SCONJ
hjic-833	122	25	calculating	calculate	VERB
hjic-833	122	26	the	the	DET
hjic-833	122	27	initial	initial	ADJ
hjic-833	122	28	magnetic	magnetic	ADJ
hjic-833	122	29	susceptibility	susceptibility	NOUN
hjic-833	122	30	.	.	PUNCT
hjic-833	123	1	as	as	SCONJ
hjic-833	123	2	was	be	AUX
hjic-833	123	3	mentioned	mention	VERB
hjic-833	123	4	before	before	ADV
hjic-833	123	5	,	,	PUNCT
hjic-833	123	6	the	the	DET
hjic-833	123	7	most	most	ADV
hjic-833	123	8	accepted	accept	VERB
hjic-833	123	9	criterion	criterion	NOUN
hjic-833	123	10	for	for	ADP
hjic-833	123	11	chaining	chain	VERB
hjic-833	123	12	is	be	AUX
hjic-833	123	13	to	to	PART
hjic-833	123	14	determine	determine	VERB
hjic-833	123	15	an	an	DET
hjic-833	123	16	energy	energy	NOUN
hjic-833	123	17	level	level	NOUN
hjic-833	123	18	and	and	CCONJ
hjic-833	123	19	if	if	SCONJ
hjic-833	123	20	the	the	DET
hjic-833	123	21	dipolar	dipolar	ADJ
hjic-833	123	22	energy	energy	NOUN
hjic-833	123	23	between	between	ADP
hjic-833	123	24	two	two	NUM
hjic-833	123	25	given	give	VERB
hjic-833	123	26	particles	particle	NOUN
hjic-833	123	27	is	be	AUX
hjic-833	123	28	under	under	ADP
hjic-833	123	29	this	this	DET
hjic-833	123	30	level	level	NOUN
hjic-833	123	31	,	,	PUNCT
hjic-833	123	32	the	the	DET
hjic-833	123	33	particles	particle	NOUN
hjic-833	123	34	are	be	AUX
hjic-833	123	35	in	in	ADP
hjic-833	123	36	a	a	DET
hjic-833	123	37	bound	bind	VERB
hjic-833	123	38	relationship	relationship	NOUN
hjic-833	123	39	.	.	PUNCT
hjic-833	124	1	generally	generally	ADV
hjic-833	124	2	[	[	X
hjic-833	124	3	15–17	15–17	NUM
hjic-833	124	4	]	]	PUNCT
hjic-833	124	5	,	,	PUNCT
hjic-833	124	6	this	this	DET
hjic-833	124	7	energy	energy	NOUN
hjic-833	124	8	level	level	NOUN
hjic-833	124	9	is	be	AUX
hjic-833	124	10	70	70	NUM
hjic-833	124	11	-	-	SYM
hjic-833	124	12	75	75	NUM
hjic-833	124	13	%	%	NOUN
hjic-833	124	14	of	of	ADP
hjic-833	124	15	the	the	DET
hjic-833	124	16	minimum	minimum	NOUN
hjic-833	124	17	of	of	ADP
hjic-833	124	18	the	the	DET
hjic-833	124	19	dipolar	dipolar	ADJ
hjic-833	124	20	energy	energy	NOUN
hjic-833	124	21	,	,	PUNCT
hjic-833	125	1	i.e.	i.e.	X
hjic-833	125	2	u∗lim	u∗lim	PROPN
hjic-833	125	3	=	=	SYM
hjic-833	125	4	−0.7	−0.7	PROPN
hjic-833	125	5	∗	∗	NOUN
hjic-833	125	6	2(m∗)2	2(m∗)2	NUM
hjic-833	125	7	.	.	PUNCT
hjic-833	126	1	here	here	ADV
hjic-833	126	2	the	the	DET
hjic-833	126	3	well	well	ADV
hjic-833	126	4	-	-	PUNCT
hjic-833	126	5	known	know	VERB
hjic-833	126	6	dipolar	dipolar	ADJ
hjic-833	126	7	energy	energy	NOUN
hjic-833	126	8	is	be	AUX
hjic-833	126	9	defined	define	VERB
hjic-833	126	10	as	as	ADP
hjic-833	126	11	the	the	DET
hjic-833	126	12	interaction	interaction	NOUN
hjic-833	126	13	between	between	ADP
hjic-833	126	14	point	point	NOUN
hjic-833	126	15	dipoles	dipole	NOUN
hjic-833	126	16	:	:	PUNCT
hjic-833	126	17	udd	udd	PROPN
hjic-833	126	18	ij	ij	NOUN
hjic-833	126	19	=	=	SYM
hjic-833	126	20	−m	−m	ADJ
hjic-833	126	21	2	2	NUM
hjic-833	126	22	r3	r3	PROPN
hjic-833	126	23	ij	ij	NOUN
hjic-833	126	24	[	[	X
hjic-833	126	25	3	3	NUM
hjic-833	126	26	(	(	PUNCT
hjic-833	126	27	m̂i	m̂i	NOUN
hjic-833	126	28	·	·	SYM
hjic-833	126	29	r̂ij	r̂ij	NOUN
hjic-833	126	30	)	)	PUNCT
hjic-833	126	31	(	(	PUNCT
hjic-833	126	32	m̂j	m̂j	X
hjic-833	126	33	·	·	PUNCT
hjic-833	126	34	r̂ij)−	r̂ij)−	PROPN
hjic-833	126	35	(	(	PUNCT
hjic-833	126	36	m̂i	m̂i	NOUN
hjic-833	126	37	·	·	PUNCT
hjic-833	126	38	m̂j	m̂j	X
hjic-833	126	39	)	)	PUNCT
hjic-833	126	40	]	]	PUNCT
hjic-833	126	41	,	,	PUNCT
hjic-833	126	42	(	(	PUNCT
hjic-833	126	43	10	10	NUM
hjic-833	126	44	)	)	PUNCT
hjic-833	126	45	where	where	SCONJ
hjic-833	126	46	the	the	DET
hjic-833	126	47	particles	particle	NOUN
hjic-833	126	48	have	have	VERB
hjic-833	126	49	dipole	dipole	NOUN
hjic-833	126	50	moments	moment	NOUN
hjic-833	126	51	of	of	ADP
hjic-833	126	52	strength	strength	NOUN
hjic-833	126	53	m	m	PROPN
hjic-833	126	54	as	as	ADV
hjic-833	126	55	well	well	ADV
hjic-833	126	56	as	as	ADP
hjic-833	126	57	an	an	DET
hjic-833	126	58	orientation	orientation	NOUN
hjic-833	126	59	given	give	VERB
hjic-833	126	60	by	by	ADP
hjic-833	126	61	unit	unit	NOUN
hjic-833	126	62	vectors	vector	NOUN
hjic-833	126	63	m̂i	m̂i	X
hjic-833	126	64	and	and	CCONJ
hjic-833	126	65	figure	figure	VERB
hjic-833	126	66	2	2	NUM
hjic-833	126	67	:	:	PUNCT
hjic-833	126	68	the	the	DET
hjic-833	126	69	feasible	feasible	ADJ
hjic-833	126	70	location	location	NOUN
hjic-833	126	71	of	of	ADP
hjic-833	126	72	a	a	DET
hjic-833	126	73	particle	particle	NOUN
hjic-833	126	74	between	between	ADP
hjic-833	126	75	two	two	NUM
hjic-833	126	76	fixed	fix	VERB
hjic-833	126	77	particles	particle	NOUN
hjic-833	126	78	.	.	PUNCT
hjic-833	127	1	m̂j	m̂j	PROPN
hjic-833	127	2	.	.	PUNCT
hjic-833	128	1	furthermore	furthermore	ADV
hjic-833	128	2	,	,	PUNCT
hjic-833	128	3	the	the	DET
hjic-833	128	4	distance	distance	NOUN
hjic-833	128	5	between	between	ADP
hjic-833	128	6	the	the	DET
hjic-833	128	7	centers	center	NOUN
hjic-833	128	8	of	of	ADP
hjic-833	128	9	the	the	DET
hjic-833	128	10	particles	particle	NOUN
hjic-833	128	11	is	be	AUX
hjic-833	128	12	denoted	denote	VERB
hjic-833	128	13	by	by	ADP
hjic-833	128	14	rij	rij	ADJ
hjic-833	128	15	and	and	CCONJ
hjic-833	128	16	r̂ij	r̂ij	NOUN
hjic-833	128	17	=	=	SYM
hjic-833	128	18	rij	rij	X
hjic-833	128	19	/	/	SYM
hjic-833	128	20	rij	rij	ADJ
hjic-833	128	21	.	.	PUNCT
hjic-833	129	1	as	as	SCONJ
hjic-833	129	2	is	be	AUX
hjic-833	129	3	shown	show	VERB
hjic-833	129	4	in	in	ADP
hjic-833	129	5	fig	fig	NOUN
hjic-833	129	6	.	.	PUNCT
hjic-833	130	1	2	2	NUM
hjic-833	130	2	,	,	PUNCT
hjic-833	130	3	according	accord	VERB
hjic-833	130	4	to	to	ADP
hjic-833	130	5	our	our	PRON
hjic-833	130	6	model	model	NOUN
hjic-833	130	7	particle	particle	NOUN
hjic-833	130	8	j	j	PROPN
hjic-833	130	9	can	can	AUX
hjic-833	130	10	move	move	VERB
hjic-833	130	11	along	along	ADP
hjic-833	130	12	the	the	DET
hjic-833	130	13	direction	direction	NOUN
hjic-833	130	14	of	of	ADP
hjic-833	130	15	the	the	DET
hjic-833	130	16	chain	chain	NOUN
hjic-833	130	17	between	between	ADP
hjic-833	130	18	the	the	DET
hjic-833	130	19	two	two	NUM
hjic-833	130	20	fixed	fix	VERB
hjic-833	130	21	adjacent	adjacent	ADJ
hjic-833	130	22	particles	particle	NOUN
hjic-833	130	23	,	,	PUNCT
hjic-833	130	24	namely	namely	ADV
hjic-833	130	25	i	i	PRON
hjic-833	130	26	and	and	CCONJ
hjic-833	130	27	the	the	DET
hjic-833	130	28	grey	grey	ADJ
hjic-833	130	29	one	one	NOUN
hjic-833	130	30	,	,	PUNCT
hjic-833	130	31	in	in	ADP
hjic-833	130	32	the	the	DET
hjic-833	130	33	tube	tube	NOUN
hjic-833	130	34	with	with	ADP
hjic-833	130	35	a	a	DET
hjic-833	130	36	light	light	ADJ
hjic-833	130	37	blue	blue	ADJ
hjic-833	130	38	background	background	NOUN
hjic-833	130	39	.	.	PUNCT
hjic-833	131	1	logically	logically	ADV
hjic-833	131	2	,	,	PUNCT
hjic-833	131	3	the	the	DET
hjic-833	131	4	minimum	minimum	ADJ
hjic-833	131	5	distance	distance	NOUN
hjic-833	131	6	between	between	ADP
hjic-833	131	7	two	two	NUM
hjic-833	131	8	particles	particle	NOUN
hjic-833	131	9	in	in	ADP
hjic-833	131	10	a	a	DET
hjic-833	131	11	hard	hard	ADJ
hjic-833	131	12	sphere	sphere	NOUN
hjic-833	131	13	system	system	NOUN
hjic-833	131	14	is	be	AUX
hjic-833	131	15	σ	σ	PROPN
hjic-833	131	16	,	,	PUNCT
hjic-833	131	17	on	on	ADP
hjic-833	131	18	a	a	DET
hjic-833	131	19	reduced	reduce	VERB
hjic-833	131	20	scale	scale	NOUN
hjic-833	131	21	d∗min	d∗min	NOUN
hjic-833	131	22	=	=	SYM
hjic-833	131	23	1	1	NUM
hjic-833	131	24	,	,	PUNCT
hjic-833	131	25	while	while	SCONJ
hjic-833	131	26	for	for	ADP
hjic-833	131	27	the	the	DET
hjic-833	131	28	maximum	maximum	ADJ
hjic-833	131	29	distance	distance	NOUN
hjic-833	131	30	d∗max	d∗max	PROPN
hjic-833	131	31	=	=	SYM
hjic-833	131	32	2	2	NUM
hjic-833	131	33	〈	〈	PROPN
hjic-833	131	34	r∗	r∗	VERB
hjic-833	131	35	〉	〉	NOUN
hjic-833	131	36	−	−	NOUN
hjic-833	131	37	1	1	NUM
hjic-833	131	38	,	,	PUNCT
hjic-833	131	39	where	where	SCONJ
hjic-833	131	40	the	the	DET
hjic-833	131	41	reduced	reduced	ADJ
hjic-833	131	42	average	average	ADJ
hjic-833	131	43	distance	distance	NOUN
hjic-833	131	44	between	between	ADP
hjic-833	131	45	two	two	NUM
hjic-833	131	46	adjacent	adjacent	ADJ
hjic-833	131	47	particles	particle	NOUN
hjic-833	131	48	is	be	AUX
hjic-833	131	49	denoted	denote	VERB
hjic-833	131	50	by	by	ADP
hjic-833	131	51	〈	〈	PROPN
hjic-833	131	52	r∗	r∗	PROPN
hjic-833	131	53	〉	〉	PROPN
hjic-833	131	54	.	.	PUNCT
hjic-833	132	1	obviously	obviously	ADV
hjic-833	132	2	the	the	DET
hjic-833	132	3	maximum	maximum	ADJ
hjic-833	132	4	distance	distance	NOUN
hjic-833	132	5	between	between	ADP
hjic-833	132	6	two	two	NUM
hjic-833	132	7	neighbouring	neighbouring	ADJ
hjic-833	132	8	particles	particle	NOUN
hjic-833	132	9	could	could	AUX
hjic-833	132	10	be	be	AUX
hjic-833	132	11	greater	great	ADJ
hjic-833	132	12	than	than	ADP
hjic-833	132	13	d∗max	d∗max	ADV
hjic-833	132	14	but	but	CCONJ
hjic-833	132	15	at	at	ADP
hjic-833	132	16	higher	high	ADJ
hjic-833	132	17	densities	density	NOUN
hjic-833	132	18	in	in	ADP
hjic-833	132	19	particular	particular	ADJ
hjic-833	132	20	the	the	DET
hjic-833	132	21	surrounding	surround	VERB
hjic-833	132	22	particles	particle	NOUN
hjic-833	132	23	obstruct	obstruct	VERB
hjic-833	132	24	the	the	DET
hjic-833	132	25	movement	movement	NOUN
hjic-833	132	26	of	of	ADP
hjic-833	132	27	the	the	DET
hjic-833	132	28	central	central	ADJ
hjic-833	132	29	particle	particle	NOUN
hjic-833	132	30	.	.	PUNCT
hjic-833	133	1	assuming	assume	VERB
hjic-833	133	2	that	that	SCONJ
hjic-833	133	3	the	the	DET
hjic-833	133	4	distance	distance	NOUN
hjic-833	133	5	distribution	distribution	NOUN
hjic-833	133	6	is	be	AUX
hjic-833	133	7	isotropic	isotropic	ADJ
hjic-833	133	8	,	,	PUNCT
hjic-833	133	9	it	it	PRON
hjic-833	133	10	is	be	AUX
hjic-833	133	11	given	give	VERB
hjic-833	133	12	by	by	ADP
hjic-833	133	13	〈	〈	PROPN
hjic-833	133	14	r∗	r∗	PROPN
hjic-833	133	15	〉	〉	PROPN
hjic-833	133	16	=	=	SYM
hjic-833	133	17	3	3	NUM
hjic-833	133	18	√	√	NUM
hjic-833	133	19	1	1	NUM
hjic-833	133	20	/	/	SYM
hjic-833	133	21	ρ∗.	ρ∗.	NOUN
hjic-833	133	22	taken	take	VERB
hjic-833	133	23	all	all	DET
hjic-833	133	24	round	round	NOUN
hjic-833	133	25	to	to	PART
hjic-833	133	26	calculate	calculate	VERB
hjic-833	133	27	p	p	NOUN
hjic-833	133	28	the	the	DET
hjic-833	133	29	probability	probability	NOUN
hjic-833	133	30	of	of	ADP
hjic-833	133	31	those	those	DET
hjic-833	133	32	states	state	NOUN
hjic-833	133	33	of	of	ADP
hjic-833	133	34	particle	particle	NOUN
hjic-833	133	35	pairs	pair	NOUN
hjic-833	133	36	should	should	AUX
hjic-833	133	37	be	be	AUX
hjic-833	133	38	totalled	total	VERB
hjic-833	133	39	when	when	SCONJ
hjic-833	133	40	the	the	DET
hjic-833	133	41	dipolar	dipolar	ADJ
hjic-833	133	42	interaction	interaction	NOUN
hjic-833	133	43	energy	energy	NOUN
hjic-833	133	44	is	be	AUX
hjic-833	133	45	less	less	ADJ
hjic-833	133	46	than	than	ADP
hjic-833	133	47	or	or	CCONJ
hjic-833	133	48	equal	equal	ADJ
hjic-833	133	49	to	to	ADP
hjic-833	133	50	the	the	DET
hjic-833	133	51	aforementioned	aforementioned	ADJ
hjic-833	133	52	energy	energy	NOUN
hjic-833	133	53	limit	limit	NOUN
hjic-833	133	54	ulim	ulim	ADJ
hjic-833	133	55	and	and	CCONJ
hjic-833	133	56	the	the	DET
hjic-833	133	57	interval	interval	NOUN
hjic-833	133	58	of	of	ADP
hjic-833	133	59	integration	integration	NOUN
hjic-833	133	60	in	in	ADP
hjic-833	133	61	distance	distance	NOUN
hjic-833	133	62	is	be	AUX
hjic-833	133	63	[	[	X
hjic-833	133	64	d∗min	d∗min	PROPN
hjic-833	133	65	,	,	PUNCT
hjic-833	133	66	d	d	PROPN
hjic-833	133	67	∗	∗	X
hjic-833	133	68	max	max	PROPN
hjic-833	133	69	]	]	PUNCT
hjic-833	133	70	,	,	PUNCT
hjic-833	133	71	that	that	PRON
hjic-833	133	72	is	be	AUX
hjic-833	133	73	p	p	NOUN
hjic-833	133	74	=	=	PUNCT
hjic-833	133	75	∫	∫	PROPN
hjic-833	134	1	udd≤ulim	udd≤ulim	PROPN
hjic-833	134	2	p	p	X
hjic-833	134	3	(	(	PUNCT
hjic-833	134	4	θi)dθip	θi)dθip	NOUN
hjic-833	134	5	(	(	PUNCT
hjic-833	134	6	θj)dθjp	θj)dθjp	PROPN
hjic-833	134	7	(	(	PUNCT
hjic-833	134	8	φi)dφip	φi)dφip	PROPN
hjic-833	134	9	(	(	PUNCT
hjic-833	134	10	φj)dφj	φj)dφj	ADV
hjic-833	134	11	,	,	PUNCT
hjic-833	134	12	(	(	PUNCT
hjic-833	134	13	11	11	NUM
hjic-833	134	14	)	)	PUNCT
hjic-833	134	15	where	where	SCONJ
hjic-833	134	16	0	0	NUM
hjic-833	134	17	≤	≤	NUM
hjic-833	134	18	θ	θ	X
hjic-833	134	19	<	<	X
hjic-833	134	20	π	π	X
hjic-833	134	21	and	and	CCONJ
hjic-833	134	22	0	0	NUM
hjic-833	134	23	≤	≤	NUM
hjic-833	134	24	φ	φ	PROPN
hjic-833	134	25	<	<	X
hjic-833	134	26	2π	2π	PROPN
hjic-833	134	27	are	be	AUX
hjic-833	134	28	the	the	DET
hjic-833	134	29	usual	usual	ADJ
hjic-833	134	30	spherical	spherical	ADJ
hjic-833	134	31	angles	angle	NOUN
hjic-833	134	32	of	of	ADP
hjic-833	134	33	the	the	DET
hjic-833	134	34	dipoles	dipole	NOUN
hjic-833	134	35	and	and	CCONJ
hjic-833	134	36	the	the	DET
hjic-833	134	37	probabilities	probability	NOUN
hjic-833	134	38	when	when	SCONJ
hjic-833	134	39	magnetic	magnetic	ADJ
hjic-833	134	40	field	field	NOUN
hjic-833	134	41	h	h	NOUN
hjic-833	134	42	(	(	PUNCT
hjic-833	134	43	here	here	ADV
hjic-833	134	44	h	h	NOUN
hjic-833	134	45	=	=	PUNCT
hjic-833	134	46	hl	hl	NOUN
hjic-833	134	47	)	)	PUNCT
hjic-833	134	48	is	be	AUX
hjic-833	134	49	applied	apply	VERB
hjic-833	134	50	in	in	ADP
hjic-833	134	51	general	general	ADJ
hjic-833	134	52	are	be	AUX
hjic-833	134	53	p	p	X
hjic-833	134	54	(	(	PUNCT
hjic-833	134	55	θ)dθ	θ)dθ	PROPN
hjic-833	134	56	=	=	SYM
hjic-833	134	57	exp	exp	PROPN
hjic-833	134	58	(	(	PUNCT
hjic-833	134	59	mh	mh	PROPN
hjic-833	134	60	kbt	kbt	PROPN
hjic-833	134	61	cos	cos	PROPN
hjic-833	134	62	θ	θ	PROPN
hjic-833	134	63	)	)	PUNCT
hjic-833	134	64	sin	sin	VERB
hjic-833	134	65	θdθ	θdθ	PROPN
hjic-833	134	66	∫	∫	PROPN
hjic-833	134	67	π	π	PROPN
hjic-833	134	68	0	0	NUM
hjic-833	134	69	exp	exp	PROPN
hjic-833	134	70	(	(	PUNCT
hjic-833	134	71	mh	mh	PROPN
hjic-833	134	72	kbt	kbt	PROPN
hjic-833	134	73	cos	cos	PROPN
hjic-833	134	74	θ	θ	PROPN
hjic-833	134	75	)	)	PUNCT
hjic-833	134	76	sin	sin	VERB
hjic-833	134	77	θdθ	θdθ	NOUN
hjic-833	134	78	(	(	PUNCT
hjic-833	134	79	12	12	NUM
hjic-833	134	80	)	)	PUNCT
hjic-833	134	81	and	and	CCONJ
hjic-833	134	82	p	p	X
hjic-833	134	83	(	(	PUNCT
hjic-833	134	84	φ	φ	NOUN
hjic-833	134	85	)	)	PUNCT
hjic-833	134	86	dφ	dφ	ADP
hjic-833	134	87	=	=	SYM
hjic-833	134	88	dφ/2π	dφ/2π	X
hjic-833	134	89	.	.	PUNCT
hjic-833	135	1	the	the	DET
hjic-833	135	2	calculation	calculation	NOUN
hjic-833	135	3	of	of	ADP
hjic-833	135	4	p	p	NOUN
hjic-833	135	5	was	be	AUX
hjic-833	135	6	performed	perform	VERB
hjic-833	135	7	by	by	ADP
hjic-833	135	8	numerical	numerical	ADJ
hjic-833	135	9	integration	integration	NOUN
hjic-833	135	10	.	.	PUNCT
hjic-833	136	1	particles	particle	NOUN
hjic-833	136	2	i	i	PRON
hjic-833	136	3	and	and	CCONJ
hjic-833	136	4	j	j	PROPN
hjic-833	136	5	(	(	PUNCT
hjic-833	136	6	fig	fig	NOUN
hjic-833	136	7	.	.	PUNCT
hjic-833	136	8	2	2	NUM
hjic-833	136	9	)	)	PUNCT
hjic-833	136	10	are	be	AUX
hjic-833	136	11	under	under	ADP
hjic-833	136	12	the	the	DET
hjic-833	136	13	influence	influence	NOUN
hjic-833	136	14	of	of	ADP
hjic-833	136	15	the	the	DET
hjic-833	136	16	local	local	ADJ
hjic-833	136	17	magnetic	magnetic	ADJ
hjic-833	136	18	field	field	NOUN
hjic-833	136	19	independently	independently	ADV
hjic-833	136	20	from	from	ADP
hjic-833	136	21	each	each	DET
hjic-833	136	22	other	other	ADJ
hjic-833	136	23	.	.	PUNCT
hjic-833	137	1	for	for	ADP
hjic-833	137	2	both	both	DET
hjic-833	137	3	particles	particle	NOUN
hjic-833	137	4	,	,	PUNCT
hjic-833	137	5	all	all	DET
hjic-833	137	6	possible	possible	ADJ
hjic-833	137	7	values	value	NOUN
hjic-833	137	8	of	of	ADP
hjic-833	137	9	θ	θ	PROPN
hjic-833	137	10	,	,	PUNCT
hjic-833	137	11	φ	φ	NUM
hjic-833	137	12	,	,	PUNCT
hjic-833	137	13	and	and	CCONJ
hjic-833	137	14	r	r	NOUN
hjic-833	137	15	are	be	AUX
hjic-833	137	16	swept	sweep	VERB
hjic-833	137	17	and	and	CCONJ
hjic-833	137	18	taken	take	VERB
hjic-833	137	19	into	into	ADP
hjic-833	137	20	account	account	NOUN
hjic-833	137	21	if	if	SCONJ
hjic-833	137	22	the	the	DET
hjic-833	137	23	dipolar	dipolar	ADJ
hjic-833	137	24	interaction	interaction	NOUN
hjic-833	137	25	energy	energy	NOUN
hjic-833	137	26	between	between	ADP
hjic-833	137	27	particles	particle	NOUN
hjic-833	138	1	i	i	PRON
hjic-833	138	2	and	and	CCONJ
hjic-833	138	3	j	j	PROPN
hjic-833	138	4	is	be	AUX
hjic-833	138	5	less	less	ADJ
hjic-833	138	6	than	than	ADP
hjic-833	138	7	or	or	CCONJ
hjic-833	138	8	equal	equal	ADJ
hjic-833	138	9	to	to	ADP
hjic-833	138	10	ulim	ulim	PROPN
hjic-833	138	11	.	.	PUNCT
hjic-833	139	1	this	this	PRON
hjic-833	139	2	is	be	AUX
hjic-833	139	3	expressed	express	VERB
hjic-833	139	4	by	by	ADP
hjic-833	139	5	eq	eq	PROPN
hjic-833	139	6	.	.	PROPN
hjic-833	139	7	11	11	NUM
hjic-833	139	8	.	.	X
hjic-833	140	1	for	for	ADP
hjic-833	140	2	instance	instance	NOUN
hjic-833	140	3	,	,	PUNCT
hjic-833	140	4	when	when	SCONJ
hjic-833	140	5	ρ∗	ρ∗	PROPN
hjic-833	140	6	=	=	PROPN
hjic-833	140	7	0.8	0.8	NUM
hjic-833	140	8	and	and	CCONJ
hjic-833	140	9	m∗	m∗	VERB
hjic-833	140	10	2	2	NUM
hjic-833	140	11	=	=	SYM
hjic-833	140	12	3.0	3.0	NUM
hjic-833	140	13	then	then	ADV
hjic-833	140	14	h∗l	h∗l	NUM
hjic-833	140	15	=	=	SYM
hjic-833	140	16	5.154	5.154	NUM
hjic-833	140	17	and	and	CCONJ
hjic-833	140	18	d∗max	d∗max	ADV
hjic-833	140	19	=	=	SYM
hjic-833	140	20	1.154435	1.154435	NUM
hjic-833	140	21	.	.	PUNCT
hjic-833	141	1	the	the	DET
hjic-833	141	2	probability	probability	NOUN
hjic-833	141	3	of	of	ADP
hjic-833	141	4	chaining	chain	VERB
hjic-833	141	5	between	between	ADP
hjic-833	141	6	particles	particle	NOUN
hjic-833	141	7	i	i	PRON
hjic-833	141	8	and	and	CCONJ
hjic-833	141	9	j	j	PROPN
hjic-833	141	10	as	as	ADP
hjic-833	141	11	a	a	DET
hjic-833	141	12	function	function	NOUN
hjic-833	141	13	of	of	ADP
hjic-833	141	14	distance	distance	NOUN
hjic-833	141	15	is	be	AUX
hjic-833	141	16	shown	show	VERB
hjic-833	141	17	in	in	ADP
hjic-833	141	18	fig	fig	NOUN
hjic-833	141	19	.	.	PUNCT
hjic-833	142	1	3	3	X
hjic-833	142	2	.	.	X
hjic-833	142	3	the	the	DET
hjic-833	142	4	requested	request	VERB
hjic-833	142	5	probability	probability	NOUN
hjic-833	142	6	p	p	NOUN
hjic-833	142	7	is	be	AUX
hjic-833	142	8	hungarian	hungarian	ADJ
hjic-833	142	9	journal	journal	NOUN
hjic-833	142	10	of	of	ADP
hjic-833	142	11	industry	industry	NOUN
hjic-833	142	12	and	and	CCONJ
hjic-833	142	13	chemistry	chemistry	NOUN
hjic-833	142	14	the	the	DET
hjic-833	142	15	initial	initial	ADJ
hjic-833	142	16	magnetic	magnetic	ADJ
hjic-833	142	17	susceptibility	susceptibility	NOUN
hjic-833	142	18	of	of	ADP
hjic-833	142	19	dense	dense	ADJ
hjic-833	142	20	aggregated	aggregate	VERB
hjic-833	142	21	dipolar	dipolar	ADJ
hjic-833	142	22	fluids	fluid	NOUN
hjic-833	142	23	51	51	NUM
hjic-833	142	24	figure	figure	NOUN
hjic-833	142	25	3	3	NUM
hjic-833	142	26	:	:	PUNCT
hjic-833	142	27	an	an	DET
hjic-833	142	28	example	example	NOUN
hjic-833	142	29	calculation	calculation	NOUN
hjic-833	142	30	of	of	ADP
hjic-833	142	31	p.	p.	NOUN
hjic-833	142	32	the	the	DET
hjic-833	142	33	parameters	parameter	NOUN
hjic-833	142	34	are	be	AUX
hjic-833	142	35	rho∗	rho∗	ADJ
hjic-833	142	36	=	=	PUNCT
hjic-833	142	37	0.8	0.8	NUM
hjic-833	142	38	,	,	PUNCT
hjic-833	142	39	(	(	PUNCT
hjic-833	142	40	m∗)2	m∗)2	X
hjic-833	142	41	=	=	SYM
hjic-833	142	42	3.0	3.0	NUM
hjic-833	142	43	,	,	PUNCT
hjic-833	142	44	h∗	h∗	NOUN
hjic-833	142	45	l	l	NOUN
hjic-833	142	46	=	=	PUNCT
hjic-833	142	47	5.154	5.154	NUM
hjic-833	142	48	,	,	PUNCT
hjic-833	142	49	d∗max	d∗max	PROPN
hjic-833	142	50	=	=	SYM
hjic-833	142	51	1.154435	1.154435	NUM
hjic-833	142	52	,	,	PUNCT
hjic-833	142	53	and	and	CCONJ
hjic-833	142	54	u∗	u∗	NOUN
hjic-833	142	55	lim	lim	PROPN
hjic-833	142	56	=	=	PUNCT
hjic-833	142	57	0.7u∗	0.7u∗	NUM
hjic-833	142	58	min	min	PROPN
hjic-833	142	59	.	.	PUNCT
hjic-833	143	1	the	the	DET
hjic-833	143	2	requested	request	VERB
hjic-833	143	3	probability	probability	NOUN
hjic-833	143	4	p	p	NOUN
hjic-833	143	5	is	be	AUX
hjic-833	143	6	the	the	DET
hjic-833	143	7	average	average	NOUN
hjic-833	143	8	of	of	ADP
hjic-833	143	9	this	this	DET
hjic-833	143	10	curve	curve	NOUN
hjic-833	143	11	in	in	ADP
hjic-833	143	12	the	the	DET
hjic-833	143	13	interval	interval	NOUN
hjic-833	143	14	[	[	X
hjic-833	143	15	d∗min	d∗min	PROPN
hjic-833	143	16	,	,	PUNCT
hjic-833	143	17	d	d	PROPN
hjic-833	143	18	∗	∗	X
hjic-833	143	19	max	max	PROPN
hjic-833	143	20	]	]	PUNCT
hjic-833	143	21	.	.	PUNCT
hjic-833	144	1	the	the	DET
hjic-833	144	2	average	average	NOUN
hjic-833	144	3	of	of	ADP
hjic-833	144	4	this	this	DET
hjic-833	144	5	curve	curve	NOUN
hjic-833	144	6	from	from	ADP
hjic-833	144	7	1	1	NUM
hjic-833	144	8	to	to	ADP
hjic-833	144	9	d∗max	d∗max	PROPN
hjic-833	144	10	,	,	PUNCT
hjic-833	144	11	i.e.	i.e.	X
hjic-833	144	12	p	p	X
hjic-833	144	13	=	=	NOUN
hjic-833	144	14	0.3454	0.3454	NUM
hjic-833	144	15	,	,	PUNCT
hjic-833	144	16	if	if	SCONJ
hjic-833	144	17	u∗lim	u∗lim	PRON
hjic-833	144	18	=	=	SYM
hjic-833	144	19	0.7u∗min	0.7u∗min	NOUN
hjic-833	144	20	.	.	PROPN
hjic-833	145	1	3	3	X
hjic-833	145	2	.	.	X
hjic-833	145	3	simulation	simulation	NOUN
hjic-833	145	4	results	result	NOUN
hjic-833	145	5	and	and	CCONJ
hjic-833	145	6	discussion	discussion	NOUN
hjic-833	145	7	to	to	PART
hjic-833	145	8	determine	determine	VERB
hjic-833	145	9	the	the	DET
hjic-833	145	10	initial	initial	ADJ
hjic-833	145	11	magnetic	magnetic	ADJ
hjic-833	145	12	susceptibility	susceptibility	NOUN
hjic-833	145	13	,	,	PUNCT
hjic-833	145	14	monte	monte	PROPN
hjic-833	145	15	carlo	carlo	PROPN
hjic-833	145	16	simulations	simulation	NOUN
hjic-833	145	17	of	of	ADP
hjic-833	145	18	dhs	dhs	PROPN
hjic-833	145	19	fluids	fluid	NOUN
hjic-833	145	20	were	be	AUX
hjic-833	145	21	performed	perform	VERB
hjic-833	145	22	using	use	VERB
hjic-833	145	23	a	a	DET
hjic-833	145	24	canonical	canonical	ADJ
hjic-833	145	25	nvt	nvt	PROPN
hjic-833	145	26	ensemble	ensemble	ADJ
hjic-833	145	27	.	.	PUNCT
hjic-833	146	1	boltzmann	boltzmann	PROPN
hjic-833	146	2	sampling	sample	VERB
hjic-833	146	3	[	[	X
hjic-833	146	4	18	18	NUM
hjic-833	146	5	]	]	PUNCT
hjic-833	146	6	,	,	PUNCT
hjic-833	146	7	periodic	periodic	ADJ
hjic-833	146	8	boundary	boundary	ADJ
hjic-833	146	9	conditions	condition	NOUN
hjic-833	146	10	and	and	CCONJ
hjic-833	146	11	the	the	DET
hjic-833	146	12	minimum	minimum	ADJ
hjic-833	146	13	-	-	PUNCT
hjic-833	146	14	image	image	NOUN
hjic-833	146	15	convention	convention	NOUN
hjic-833	146	16	were	be	AUX
hjic-833	146	17	applied	apply	VERB
hjic-833	146	18	.	.	PUNCT
hjic-833	147	1	in	in	ADP
hjic-833	147	2	order	order	NOUN
hjic-833	147	3	to	to	PART
hjic-833	147	4	take	take	VERB
hjic-833	147	5	into	into	ADP
hjic-833	147	6	account	account	NOUN
hjic-833	147	7	the	the	DET
hjic-833	147	8	long	long	ADJ
hjic-833	147	9	-	-	PUNCT
hjic-833	147	10	range	range	NOUN
hjic-833	147	11	character	character	NOUN
hjic-833	147	12	of	of	ADP
hjic-833	147	13	the	the	DET
hjic-833	147	14	dipolar	dipolar	ADJ
hjic-833	147	15	interaction	interaction	NOUN
hjic-833	147	16	,	,	PUNCT
hjic-833	147	17	the	the	DET
hjic-833	147	18	reaction	reaction	NOUN
hjic-833	147	19	field	field	NOUN
hjic-833	147	20	method	method	NOUN
hjic-833	147	21	under	under	ADP
hjic-833	147	22	boundary	boundary	ADJ
hjic-833	147	23	conditions	condition	NOUN
hjic-833	147	24	of	of	ADP
hjic-833	147	25	conduction	conduction	NOUN
hjic-833	147	26	was	be	AUX
hjic-833	147	27	used	use	VERB
hjic-833	147	28	.	.	PUNCT
hjic-833	148	1	after	after	SCONJ
hjic-833	148	2	100,000	100,000	NUM
hjic-833	148	3	equilibration	equilibration	NOUN
hjic-833	148	4	cycles	cycle	NOUN
hjic-833	148	5	,	,	PUNCT
hjic-833	148	6	between	between	SCONJ
hjic-833	148	7	1	1	NUM
hjic-833	148	8	and	and	CCONJ
hjic-833	148	9	10	10	NUM
hjic-833	148	10	million	million	NUM
hjic-833	148	11	production	production	NOUN
hjic-833	148	12	cycles	cycle	NOUN
hjic-833	148	13	were	be	AUX
hjic-833	148	14	conducted	conduct	VERB
hjic-833	148	15	involving	involve	VERB
hjic-833	148	16	n	n	PROPN
hjic-833	148	17	=	=	SYM
hjic-833	148	18	512	512	NUM
hjic-833	148	19	particles	particle	NOUN
hjic-833	148	20	.	.	PUNCT
hjic-833	149	1	in	in	ADP
hjic-833	149	2	the	the	DET
hjic-833	149	3	absence	absence	NOUN
hjic-833	149	4	of	of	ADP
hjic-833	149	5	an	an	DET
hjic-833	149	6	external	external	ADJ
hjic-833	149	7	magnetic	magnetic	ADJ
hjic-833	149	8	field	field	NOUN
hjic-833	149	9	,	,	PUNCT
hjic-833	149	10	the	the	DET
hjic-833	149	11	initial	initial	ADJ
hjic-833	149	12	magnetic	magnetic	ADJ
hjic-833	149	13	susceptibility	susceptibility	NOUN
hjic-833	149	14	was	be	AUX
hjic-833	149	15	obtained	obtain	VERB
hjic-833	149	16	from	from	ADP
hjic-833	149	17	the	the	DET
hjic-833	149	18	following	follow	VERB
hjic-833	149	19	fluctuation	fluctuation	NOUN
hjic-833	149	20	formula	formula	NOUN
hjic-833	149	21	:	:	PUNCT
hjic-833	150	1	χ0	χ0	PROPN
hjic-833	150	2	=	=	NOUN
hjic-833	150	3	1	1	NUM
hjic-833	150	4	3kbtv	3kbtv	NUM
hjic-833	150	5	(	(	PUNCT
hjic-833	150	6	〈	〈	PROPN
hjic-833	150	7	m2	m2	PROPN
hjic-833	150	8	〉	〉	NOUN
hjic-833	150	9	0	0	NUM
hjic-833	150	10	−	−	PROPN
hjic-833	150	11	〈	〈	PROPN
hjic-833	150	12	m〉20	m〉20	PROPN
hjic-833	150	13	)	)	PUNCT
hjic-833	150	14	,	,	PUNCT
hjic-833	150	15	(	(	PUNCT
hjic-833	150	16	13	13	NUM
hjic-833	150	17	)	)	PUNCT
hjic-833	150	18	where	where	SCONJ
hjic-833	150	19	m	m	VERB
hjic-833	150	20	=	=	SYM
hjic-833	150	21	∑n	∑n	PROPN
hjic-833	150	22	i=1	i=1	PROPN
hjic-833	150	23	mi	mi	PROPN
hjic-833	150	24	.	.	PUNCT
hjic-833	151	1	the	the	DET
hjic-833	151	2	exact	exact	ADJ
hjic-833	151	3	results	result	NOUN
hjic-833	151	4	of	of	ADP
hjic-833	151	5	the	the	DET
hjic-833	151	6	probability	probability	NOUN
hjic-833	151	7	of	of	ADP
hjic-833	151	8	chain	chain	NOUN
hjic-833	151	9	formation	formation	NOUN
hjic-833	151	10	from	from	ADP
hjic-833	151	11	eq	eq	ADP
hjic-833	151	12	.	.	PROPN
hjic-833	151	13	11	11	NUM
hjic-833	151	14	applied	apply	VERB
hjic-833	151	15	to	to	ADP
hjic-833	151	16	the	the	DET
hjic-833	151	17	local	local	ADJ
hjic-833	151	18	magnetic	magnetic	ADJ
hjic-833	151	19	field	field	NOUN
hjic-833	151	20	,	,	PUNCT
hjic-833	151	21	given	give	VERB
hjic-833	151	22	by	by	ADP
hjic-833	151	23	eq	eq	ADJ
hjic-833	151	24	.	.	PROPN
hjic-833	151	25	9	9	NUM
hjic-833	151	26	,	,	PUNCT
hjic-833	151	27	are	be	AUX
hjic-833	151	28	shown	show	VERB
hjic-833	151	29	in	in	ADP
hjic-833	151	30	table	table	NOUN
hjic-833	151	31	2	2	NUM
hjic-833	151	32	.	.	PUNCT
hjic-833	152	1	the	the	DET
hjic-833	152	2	data	datum	NOUN
hjic-833	152	3	associated	associate	VERB
hjic-833	152	4	with	with	ADP
hjic-833	152	5	the	the	DET
hjic-833	152	6	aforementioned	aforementioned	ADJ
hjic-833	152	7	dipole	dipole	NOUN
hjic-833	152	8	moments	moment	NOUN
hjic-833	152	9	were	be	AUX
hjic-833	152	10	rounded	round	VERB
hjic-833	152	11	to	to	ADP
hjic-833	152	12	three	three	NUM
hjic-833	152	13	non	non	ADJ
hjic-833	152	14	-	-	ADJ
hjic-833	152	15	zero	zero	NUM
hjic-833	152	16	decimals	decimal	NOUN
hjic-833	152	17	.	.	PUNCT
hjic-833	153	1	according	accord	VERB
hjic-833	153	2	to	to	ADP
hjic-833	153	3	fig	fig	NOUN
hjic-833	153	4	.	.	PUNCT
hjic-833	153	5	1	1	NUM
hjic-833	153	6	at	at	ADP
hjic-833	153	7	low	low	ADJ
hjic-833	153	8	densities	density	NOUN
hjic-833	153	9	the	the	DET
hjic-833	153	10	values	value	NOUN
hjic-833	153	11	of	of	ADP
hjic-833	153	12	the	the	DET
hjic-833	153	13	local	local	ADJ
hjic-833	153	14	magnetic	magnetic	ADJ
hjic-833	153	15	field	field	NOUN
hjic-833	153	16	are	be	AUX
hjic-833	153	17	zero	zero	NUM
hjic-833	153	18	,	,	PUNCT
hjic-833	153	19	nevertheless	nevertheless	ADV
hjic-833	153	20	,	,	PUNCT
hjic-833	153	21	the	the	DET
hjic-833	153	22	rates	rate	NOUN
hjic-833	153	23	of	of	ADP
hjic-833	153	24	the	the	DET
hjic-833	153	25	probability	probability	NOUN
hjic-833	153	26	of	of	ADP
hjic-833	153	27	chaining	chain	VERB
hjic-833	153	28	are	be	AUX
hjic-833	153	29	not	not	PART
hjic-833	153	30	equal	equal	ADJ
hjic-833	153	31	to	to	ADP
hjic-833	153	32	zero	zero	NUM
hjic-833	153	33	.	.	PUNCT
hjic-833	154	1	the	the	DET
hjic-833	154	2	value	value	NOUN
hjic-833	154	3	of	of	ADP
hjic-833	154	4	the	the	DET
hjic-833	154	5	energy	energy	NOUN
hjic-833	154	6	limit	limit	NOUN
hjic-833	154	7	was	be	AUX
hjic-833	154	8	fitted	fit	VERB
hjic-833	154	9	to	to	ADP
hjic-833	154	10	the	the	DET
hjic-833	154	11	best	good	ADJ
hjic-833	154	12	agreement	agreement	NOUN
hjic-833	154	13	between	between	ADP
hjic-833	154	14	the	the	DET
hjic-833	154	15	simulation	simulation	NOUN
hjic-833	154	16	data	datum	NOUN
hjic-833	154	17	and	and	CCONJ
hjic-833	154	18	our	our	PRON
hjic-833	154	19	theory	theory	NOUN
hjic-833	154	20	lines	line	NOUN
hjic-833	154	21	.	.	PUNCT
hjic-833	155	1	our	our	PRON
hjic-833	155	2	theoretical	theoretical	ADJ
hjic-833	155	3	findings	finding	NOUN
hjic-833	155	4	(	(	PUNCT
hjic-833	155	5	green	green	ADJ
hjic-833	155	6	lines	line	NOUN
hjic-833	155	7	,	,	PUNCT
hjic-833	155	8	eq	eq	NOUN
hjic-833	155	9	.	.	NOUN
hjic-833	155	10	7	7	NUM
hjic-833	155	11	)	)	PUNCT
hjic-833	155	12	in	in	ADP
hjic-833	155	13	terms	term	NOUN
hjic-833	155	14	of	of	ADP
hjic-833	155	15	the	the	DET
hjic-833	155	16	initial	initial	ADJ
hjic-833	155	17	magnetic	magnetic	ADJ
hjic-833	155	18	susceptibility	susceptibility	NOUN
hjic-833	155	19	according	accord	VERB
hjic-833	155	20	to	to	ADP
hjic-833	155	21	our	our	PRON
hjic-833	155	22	monte	monte	PROPN
hjic-833	155	23	carlo	carlo	PROPN
hjic-833	155	24	simulation	simulation	PROPN
hjic-833	155	25	data	data	PROPN
hjic-833	155	26	(	(	PUNCT
hjic-833	155	27	blue	blue	ADJ
hjic-833	155	28	dots	dot	NOUN
hjic-833	155	29	)	)	PUNCT
hjic-833	155	30	and	and	CCONJ
hjic-833	155	31	the	the	DET
hjic-833	155	32	values	value	NOUN
hjic-833	155	33	of	of	ADP
hjic-833	155	34	ivanov	ivanov	PROPN
hjic-833	155	35	’s	’s	PART
hjic-833	155	36	theory	theory	NOUN
hjic-833	155	37	(	(	PUNCT
hjic-833	155	38	grey	grey	ADJ
hjic-833	155	39	lines	line	NOUN
hjic-833	155	40	,	,	PUNCT
hjic-833	155	41	table	table	NOUN
hjic-833	155	42	1	1	NUM
hjic-833	155	43	:	:	SYM
hjic-833	155	44	4.4	4.4	NUM
hjic-833	155	45	)	)	PUNCT
hjic-833	155	46	are	be	AUX
hjic-833	155	47	compared	compare	VERB
hjic-833	155	48	in	in	ADP
hjic-833	155	49	figs	fig	NOUN
hjic-833	155	50	.	.	PUNCT
hjic-833	156	1	4	4	NUM
hjic-833	156	2	-	-	SYM
hjic-833	156	3	6	6	NUM
hjic-833	156	4	.	.	PUNCT
hjic-833	157	1	the	the	DET
hjic-833	157	2	variability	variability	NOUN
hjic-833	157	3	is	be	AUX
hjic-833	157	4	not	not	PART
hjic-833	157	5	indicated	indicate	VERB
hjic-833	157	6	where	where	SCONJ
hjic-833	157	7	its	its	PRON
hjic-833	157	8	magnitude	magnitude	NOUN
hjic-833	157	9	is	be	AUX
hjic-833	157	10	comparable	comparable	ADJ
hjic-833	157	11	to	to	ADP
hjic-833	157	12	the	the	DET
hjic-833	157	13	size	size	NOUN
hjic-833	157	14	of	of	ADP
hjic-833	157	15	the	the	DET
hjic-833	157	16	dot	dot	NOUN
hjic-833	157	17	.	.	PUNCT
hjic-833	158	1	the	the	DET
hjic-833	158	2	values	value	NOUN
hjic-833	158	3	of	of	ADP
hjic-833	158	4	dipole	dipole	NOUN
hjic-833	158	5	moments	moment	NOUN
hjic-833	158	6	in	in	ADP
hjic-833	158	7	the	the	DET
hjic-833	158	8	order	order	NOUN
hjic-833	158	9	m∗	m∗	VERB
hjic-833	158	10	=	=	SYM
hjic-833	158	11	1	1	NUM
hjic-833	158	12	,	,	PUNCT
hjic-833	158	13	m∗	m∗	NOUN
hjic-833	158	14	=	=	SYM
hjic-833	158	15	√	√	ADP
hjic-833	158	16	2	2	NUM
hjic-833	158	17	and	and	CCONJ
hjic-833	158	18	m∗	m∗	NOUN
hjic-833	158	19	=	=	SYM
hjic-833	158	20	√	√	ADP
hjic-833	158	21	3	3	NUM
hjic-833	158	22	are	be	AUX
hjic-833	158	23	shown	show	VERB
hjic-833	158	24	in	in	ADP
hjic-833	158	25	figs	fig	NOUN
hjic-833	158	26	.	.	PUNCT
hjic-833	159	1	4	4	NUM
hjic-833	159	2	-	-	SYM
hjic-833	159	3	6	6	NUM
hjic-833	159	4	.	.	PUNCT
hjic-833	159	5	table	table	NOUN
hjic-833	159	6	2	2	NUM
hjic-833	159	7	:	:	PUNCT
hjic-833	159	8	the	the	DET
hjic-833	159	9	probability	probability	NOUN
hjic-833	159	10	of	of	ADP
hjic-833	159	11	chaining	chain	VERB
hjic-833	159	12	at	at	ADP
hjic-833	159	13	three	three	NUM
hjic-833	159	14	different	different	ADJ
hjic-833	159	15	dipole	dipole	NOUN
hjic-833	159	16	moments	moment	NOUN
hjic-833	159	17	.	.	PUNCT
hjic-833	160	1	the	the	DET
hjic-833	160	2	applied	apply	VERB
hjic-833	160	3	energy	energy	NOUN
hjic-833	160	4	limit	limit	NOUN
hjic-833	160	5	at	at	ADP
hjic-833	160	6	m∗	m∗	NOUN
hjic-833	160	7	=	=	SYM
hjic-833	160	8	1	1	NUM
hjic-833	160	9	and	and	CCONJ
hjic-833	160	10	m∗	m∗	VERB
hjic-833	160	11	=	=	SYM
hjic-833	160	12	√	√	ADP
hjic-833	160	13	2	2	NUM
hjic-833	160	14	is	be	AUX
hjic-833	160	15	ulim	ulim	ADJ
hjic-833	160	16	=	=	SYM
hjic-833	160	17	0.77umin	0.77umin	NOUN
hjic-833	160	18	and	and	CCONJ
hjic-833	160	19	ulim	ulim	PROPN
hjic-833	160	20	=	=	SYM
hjic-833	160	21	0.71umin	0.71umin	NOUN
hjic-833	160	22	at	at	ADP
hjic-833	160	23	m∗	m∗	NOUN
hjic-833	160	24	=	=	SYM
hjic-833	160	25	√	√	ADP
hjic-833	160	26	3	3	NUM
hjic-833	160	27	.	.	PUNCT
hjic-833	161	1	p	p	PROPN
hjic-833	161	2	ρ∗	ρ∗	PROPN
hjic-833	161	3	m∗	m∗	VERB
hjic-833	161	4	=	=	SYM
hjic-833	161	5	1	1	NUM
hjic-833	161	6	m∗	m∗	NOUN
hjic-833	161	7	=	=	SYM
hjic-833	161	8	√	√	NUM
hjic-833	161	9	2	2	NUM
hjic-833	161	10	m∗	m∗	NOUN
hjic-833	161	11	=	=	SYM
hjic-833	161	12	√	√	ADP
hjic-833	162	1	3	3	NUM
hjic-833	162	2	0.1	0.1	NUM
hjic-833	162	3	0.000260	0.000260	NUM
hjic-833	162	4	0.000263	0.000263	NUM
hjic-833	162	5	0.000580	0.000580	NUM
hjic-833	162	6	0.2	0.2	NUM
hjic-833	162	7	0.000426	0.000426	NUM
hjic-833	162	8	0.000429	0.000429	NUM
hjic-833	162	9	0.000943	0.000943	NUM
hjic-833	162	10	0.3	0.3	NUM
hjic-833	162	11	0.000615	0.000615	NUM
hjic-833	162	12	0.000617	0.000617	NUM
hjic-833	162	13	0.00794	0.00794	NUM
hjic-833	162	14	0.4	0.4	NUM
hjic-833	162	15	0.000852	0.000852	NUM
hjic-833	162	16	0.00292	0.00292	NUM
hjic-833	162	17	0.0250	0.0250	NUM
hjic-833	162	18	0.5	0.5	NUM
hjic-833	162	19	0.00117	0.00117	NUM
hjic-833	162	20	0.0110	0.0110	NUM
hjic-833	162	21	0.0521	0.0521	NUM
hjic-833	162	22	0.6	0.6	NUM
hjic-833	162	23	0.00164	0.00164	NUM
hjic-833	162	24	0.0253	0.0253	NUM
hjic-833	162	25	0.0953	0.0953	NUM
hjic-833	162	26	0.7	0.7	NUM
hjic-833	162	27	0.00241	0.00241	NUM
hjic-833	162	28	0.0515	0.0515	NUM
hjic-833	162	29	0.170	0.170	NUM
hjic-833	162	30	0.8	0.8	NUM
hjic-833	162	31	0.0135	0.0135	NUM
hjic-833	162	32	0.107	0.107	NUM
hjic-833	162	33	0.320	0.320	NUM
hjic-833	162	34	0.85	0.85	NUM
hjic-833	162	35	0.0269	0.0269	NUM
hjic-833	162	36	0.164	0.164	NUM
hjic-833	162	37	0.471	0.471	NUM
hjic-833	162	38	0.9	0.9	NUM
hjic-833	162	39	0.0539	0.0539	NUM
hjic-833	162	40	0.273	0.273	NUM
hjic-833	162	41	0.649	0.649	NUM
hjic-833	162	42	0.95	0.95	NUM
hjic-833	162	43	0.101	0.101	NUM
hjic-833	162	44	0.416	0.416	NUM
hjic-833	162	45	0.775	0.775	NUM
hjic-833	162	46	in	in	ADP
hjic-833	162	47	the	the	DET
hjic-833	162	48	case	case	NOUN
hjic-833	162	49	of	of	ADP
hjic-833	162	50	m∗	m∗	NOUN
hjic-833	162	51	=	=	SYM
hjic-833	162	52	1	1	NUM
hjic-833	162	53	(	(	PUNCT
hjic-833	162	54	fig	fig	NOUN
hjic-833	162	55	.	.	PUNCT
hjic-833	162	56	4	4	NUM
hjic-833	162	57	)	)	PUNCT
hjic-833	162	58	,	,	PUNCT
hjic-833	162	59	the	the	DET
hjic-833	162	60	energy	energy	NOUN
hjic-833	162	61	limit	limit	NOUN
hjic-833	162	62	is	be	AUX
hjic-833	162	63	ulim	ulim	ADJ
hjic-833	162	64	=	=	SYM
hjic-833	162	65	0.77umin	0.77umin	PROPN
hjic-833	162	66	.	.	PUNCT
hjic-833	163	1	a	a	DET
hjic-833	163	2	significant	significant	ADJ
hjic-833	163	3	difference	difference	NOUN
hjic-833	163	4	was	be	AUX
hjic-833	163	5	only	only	ADV
hjic-833	163	6	observed	observe	VERB
hjic-833	163	7	between	between	ADP
hjic-833	163	8	ivanov	ivanov	PROPN
hjic-833	163	9	’s	’s	PART
hjic-833	163	10	theory	theory	NOUN
hjic-833	163	11	and	and	CCONJ
hjic-833	163	12	the	the	DET
hjic-833	163	13	simulation	simulation	NOUN
hjic-833	163	14	data	datum	NOUN
hjic-833	163	15	beyond	beyond	ADP
hjic-833	163	16	a	a	DET
hjic-833	163	17	reduced	reduced	ADJ
hjic-833	163	18	density	density	NOUN
hjic-833	163	19	of	of	ADP
hjic-833	163	20	0.8	0.8	NUM
hjic-833	163	21	and	and	CCONJ
hjic-833	163	22	the	the	DET
hjic-833	163	23	simulation	simulation	NOUN
hjic-833	163	24	dots	dot	NOUN
hjic-833	163	25	were	be	AUX
hjic-833	163	26	tracked	track	VERB
hjic-833	163	27	by	by	ADP
hjic-833	163	28	our	our	PRON
hjic-833	163	29	present	present	ADJ
hjic-833	163	30	theory	theory	NOUN
hjic-833	163	31	.	.	PUNCT
hjic-833	164	1	the	the	DET
hjic-833	164	2	maximum	maximum	ADJ
hjic-833	164	3	relative	relative	ADJ
hjic-833	164	4	deviation	deviation	NOUN
hjic-833	164	5	from	from	ADP
hjic-833	164	6	the	the	DET
hjic-833	164	7	simulation	simulation	NOUN
hjic-833	164	8	data	data	PROPN
hjic-833	164	9	is	be	AUX
hjic-833	164	10	|χ0	|χ0	NUM
hjic-833	164	11	sim	sim	ADJ
hjic-833	164	12	−	−	PROPN
hjic-833	164	13	χ0	χ0	PROPN
hjic-833	164	14	th|	th|	PROPN
hjic-833	164	15	/χ0	/χ0	PUNCT
hjic-833	164	16	sim	sim	NOUN
hjic-833	165	1	=	=	PUNCT
hjic-833	165	2	4.175	4.175	NUM
hjic-833	165	3	%	%	NOUN
hjic-833	165	4	.	.	PUNCT
hjic-833	166	1	when	when	SCONJ
hjic-833	166	2	m∗	m∗	NOUN
hjic-833	166	3	=	=	SYM
hjic-833	166	4	√	√	ADP
hjic-833	166	5	2	2	NUM
hjic-833	166	6	,	,	PUNCT
hjic-833	166	7	the	the	DET
hjic-833	166	8	appropriate	appropriate	ADJ
hjic-833	166	9	energy	energy	NOUN
hjic-833	166	10	criterion	criterion	NOUN
hjic-833	166	11	is	be	AUX
hjic-833	166	12	ulim	ulim	ADJ
hjic-833	166	13	=	=	SYM
hjic-833	166	14	0.77umin	0.77umin	PROPN
hjic-833	166	15	as	as	ADV
hjic-833	166	16	well	well	ADV
hjic-833	166	17	.	.	PUNCT
hjic-833	167	1	up	up	ADP
hjic-833	167	2	to	to	ADP
hjic-833	167	3	a	a	DET
hjic-833	167	4	reduced	reduced	ADJ
hjic-833	167	5	density	density	NOUN
hjic-833	167	6	of	of	ADP
hjic-833	167	7	0.6	0.6	NUM
hjic-833	167	8	the	the	DET
hjic-833	167	9	former	former	ADJ
hjic-833	167	10	theory	theory	NOUN
hjic-833	167	11	and	and	CCONJ
hjic-833	167	12	simulation	simulation	NOUN
hjic-833	167	13	are	be	AUX
hjic-833	167	14	in	in	ADP
hjic-833	167	15	good	good	ADJ
hjic-833	167	16	agreement	agreement	NOUN
hjic-833	167	17	(	(	PUNCT
hjic-833	167	18	fig	fig	NOUN
hjic-833	167	19	.	.	PUNCT
hjic-833	168	1	5	5	NUM
hjic-833	168	2	)	)	PUNCT
hjic-833	168	3	,	,	PUNCT
hjic-833	168	4	but	but	CCONJ
hjic-833	169	1	in	in	ADP
hjic-833	169	2	the	the	DET
hjic-833	169	3	present	present	ADJ
hjic-833	169	4	theory	theory	NOUN
hjic-833	169	5	more	more	ADV
hjic-833	169	6	than	than	ADP
hjic-833	169	7	double	double	DET
hjic-833	169	8	the	the	DET
hjic-833	169	9	surplus	surplus	NOUN
hjic-833	169	10	is	be	AUX
hjic-833	169	11	shown	show	VERB
hjic-833	169	12	in	in	ADP
hjic-833	169	13	the	the	DET
hjic-833	169	14	region	region	NOUN
hjic-833	169	15	of	of	ADP
hjic-833	169	16	high	high	ADJ
hjic-833	169	17	density	density	NOUN
hjic-833	169	18	compared	compare	VERB
hjic-833	169	19	to	to	ADP
hjic-833	169	20	table	table	NOUN
hjic-833	169	21	1	1	NUM
hjic-833	169	22	:	:	SYM
hjic-833	169	23	4.4	4.4	NUM
hjic-833	169	24	.	.	PUNCT
hjic-833	170	1	the	the	DET
hjic-833	170	2	maximum	maximum	ADJ
hjic-833	170	3	relative	relative	ADJ
hjic-833	170	4	deviation	deviation	NOUN
hjic-833	170	5	from	from	ADP
hjic-833	170	6	the	the	DET
hjic-833	170	7	simulation	simulation	NOUN
hjic-833	170	8	data	datum	NOUN
hjic-833	170	9	is	be	AUX
hjic-833	170	10	8.024	8.024	NUM
hjic-833	170	11	%	%	NOUN
hjic-833	170	12	.	.	PUNCT
hjic-833	171	1	here	here	ADV
hjic-833	171	2	it	it	PRON
hjic-833	171	3	is	be	AUX
hjic-833	171	4	quite	quite	ADV
hjic-833	171	5	conceivable	conceivable	ADJ
hjic-833	171	6	that	that	SCONJ
hjic-833	171	7	the	the	DET
hjic-833	171	8	simple	simple	ADJ
hjic-833	171	9	series	series	NOUN
hjic-833	171	10	expansion	expansion	NOUN
hjic-833	171	11	of	of	ADP
hjic-833	171	12	initial	initial	ADJ
hjic-833	171	13	magnetic	magnetic	ADJ
hjic-833	171	14	susceptibility	susceptibility	NOUN
hjic-833	171	15	as	as	ADP
hjic-833	171	16	the	the	DET
hjic-833	171	17	summation	summation	NOUN
hjic-833	171	18	of	of	ADP
hjic-833	171	19	positive	positive	ADJ
hjic-833	171	20	integer	integer	NOUN
hjic-833	171	21	powers	power	NOUN
hjic-833	171	22	of	of	ADP
hjic-833	171	23	langevin	langevin	ADJ
hjic-833	171	24	susceptibility	susceptibility	NOUN
hjic-833	171	25	is	be	AUX
hjic-833	171	26	unsatisfactory	unsatisfactory	ADJ
hjic-833	171	27	.	.	PUNCT
hjic-833	172	1	by	by	ADP
hjic-833	172	2	increasing	increase	VERB
hjic-833	172	3	the	the	DET
hjic-833	172	4	third	third	ADJ
hjic-833	172	5	coefficient	coefficient	NOUN
hjic-833	172	6	in	in	ADP
hjic-833	172	7	figure	figure	NOUN
hjic-833	172	8	4	4	NUM
hjic-833	172	9	:	:	PUNCT
hjic-833	172	10	initial	initial	ADJ
hjic-833	172	11	magnetic	magnetic	ADJ
hjic-833	172	12	susceptibility	susceptibility	NOUN
hjic-833	172	13	of	of	ADP
hjic-833	172	14	dhs	dhs	PROPN
hjic-833	172	15	fluid	fluid	NOUN
hjic-833	172	16	as	as	ADP
hjic-833	172	17	a	a	DET
hjic-833	172	18	function	function	NOUN
hjic-833	172	19	of	of	ADP
hjic-833	172	20	reduced	reduced	ADJ
hjic-833	172	21	density	density	NOUN
hjic-833	172	22	with	with	ADP
hjic-833	172	23	dipole	dipole	NOUN
hjic-833	172	24	moment	moment	NOUN
hjic-833	172	25	m∗	m∗	VERB
hjic-833	172	26	=	=	SYM
hjic-833	172	27	1	1	X
hjic-833	172	28	.	.	X
hjic-833	172	29	monte	monte	PROPN
hjic-833	172	30	carlo	carlo	PROPN
hjic-833	172	31	simulation	simulation	PROPN
hjic-833	172	32	results	result	NOUN
hjic-833	172	33	are	be	AUX
hjic-833	172	34	denoted	denote	VERB
hjic-833	172	35	by	by	ADP
hjic-833	172	36	symbols	symbol	NOUN
hjic-833	172	37	and	and	CCONJ
hjic-833	172	38	the	the	DET
hjic-833	172	39	solid	solid	ADJ
hjic-833	172	40	lines	line	NOUN
hjic-833	172	41	correspond	correspond	VERB
hjic-833	172	42	to	to	ADP
hjic-833	172	43	the	the	DET
hjic-833	172	44	present	present	NOUN
hjic-833	172	45	(	(	PUNCT
hjic-833	172	46	eq	eq	NOUN
hjic-833	172	47	.	.	NOUN
hjic-833	172	48	7	7	NUM
hjic-833	172	49	)	)	PUNCT
hjic-833	172	50	and	and	CCONJ
hjic-833	172	51	ivanov	ivanov	PROPN
hjic-833	172	52	’s	’s	PART
hjic-833	172	53	(	(	PUNCT
hjic-833	172	54	table	table	NOUN
hjic-833	172	55	1	1	NUM
hjic-833	172	56	:	:	SYM
hjic-833	172	57	4.4	4.4	NUM
hjic-833	172	58	)	)	PUNCT
hjic-833	172	59	theories	theory	NOUN
hjic-833	172	60	.	.	PUNCT
hjic-833	173	1	46(2	46(2	NUM
hjic-833	173	2	)	)	PUNCT
hjic-833	173	3	pp	pp	ADV
hjic-833	173	4	.	.	PUNCT
hjic-833	174	1	47–54	47–54	NUM
hjic-833	174	2	(	(	PUNCT
hjic-833	174	3	2018	2018	NUM
hjic-833	174	4	)	)	PUNCT
hjic-833	174	5	52	52	NUM
hjic-833	174	6	nagy	nagy	ADJ
hjic-833	174	7	figure	figure	NOUN
hjic-833	174	8	5	5	NUM
hjic-833	174	9	:	:	PUNCT
hjic-833	174	10	initial	initial	ADJ
hjic-833	174	11	magnetic	magnetic	ADJ
hjic-833	174	12	susceptibility	susceptibility	NOUN
hjic-833	174	13	of	of	ADP
hjic-833	174	14	dhs	dhs	PROPN
hjic-833	174	15	fluid	fluid	NOUN
hjic-833	174	16	as	as	ADP
hjic-833	174	17	a	a	DET
hjic-833	174	18	function	function	NOUN
hjic-833	174	19	of	of	ADP
hjic-833	174	20	reduced	reduced	ADJ
hjic-833	174	21	density	density	NOUN
hjic-833	174	22	with	with	ADP
hjic-833	174	23	dipole	dipole	NOUN
hjic-833	174	24	moment	moment	NOUN
hjic-833	174	25	m∗	m∗	VERB
hjic-833	174	26	=	=	NOUN
hjic-833	174	27	√	√	ADP
hjic-833	174	28	2	2	NUM
hjic-833	174	29	.	.	PUNCT
hjic-833	175	1	monte	monte	PROPN
hjic-833	175	2	carlo	carlo	PROPN
hjic-833	175	3	simulation	simulation	PROPN
hjic-833	175	4	results	result	NOUN
hjic-833	175	5	are	be	AUX
hjic-833	175	6	denoted	denote	VERB
hjic-833	175	7	by	by	ADP
hjic-833	175	8	symbols	symbol	NOUN
hjic-833	175	9	and	and	CCONJ
hjic-833	175	10	the	the	DET
hjic-833	175	11	solid	solid	ADJ
hjic-833	175	12	lines	line	NOUN
hjic-833	175	13	correspond	correspond	VERB
hjic-833	175	14	to	to	ADP
hjic-833	175	15	the	the	DET
hjic-833	175	16	present	present	NOUN
hjic-833	175	17	(	(	PUNCT
hjic-833	175	18	eq	eq	NOUN
hjic-833	175	19	.	.	NOUN
hjic-833	175	20	7	7	NUM
hjic-833	175	21	)	)	PUNCT
hjic-833	175	22	and	and	CCONJ
hjic-833	175	23	ivanov	ivanov	PROPN
hjic-833	175	24	’s	’s	PART
hjic-833	175	25	(	(	PUNCT
hjic-833	175	26	table	table	NOUN
hjic-833	175	27	1	1	NUM
hjic-833	175	28	:	:	SYM
hjic-833	175	29	4.4	4.4	NUM
hjic-833	175	30	)	)	PUNCT
hjic-833	175	31	theories	theory	NOUN
hjic-833	175	32	.	.	PUNCT
hjic-833	176	1	figure	figure	VERB
hjic-833	176	2	6	6	NUM
hjic-833	176	3	:	:	PUNCT
hjic-833	176	4	initial	initial	ADJ
hjic-833	176	5	magnetic	magnetic	ADJ
hjic-833	176	6	susceptibility	susceptibility	NOUN
hjic-833	176	7	of	of	ADP
hjic-833	176	8	dhs	dhs	PROPN
hjic-833	176	9	fluid	fluid	NOUN
hjic-833	176	10	as	as	ADP
hjic-833	176	11	a	a	DET
hjic-833	176	12	function	function	NOUN
hjic-833	176	13	of	of	ADP
hjic-833	176	14	reduced	reduced	ADJ
hjic-833	176	15	density	density	NOUN
hjic-833	176	16	with	with	ADP
hjic-833	176	17	dipole	dipole	NOUN
hjic-833	176	18	moment	moment	NOUN
hjic-833	176	19	m∗	m∗	VERB
hjic-833	176	20	=	=	NOUN
hjic-833	176	21	√	√	ADP
hjic-833	176	22	3	3	NUM
hjic-833	176	23	.	.	PUNCT
hjic-833	177	1	monte	monte	PROPN
hjic-833	177	2	carlo	carlo	PROPN
hjic-833	177	3	simulation	simulation	PROPN
hjic-833	177	4	results	result	NOUN
hjic-833	177	5	are	be	AUX
hjic-833	177	6	denoted	denote	VERB
hjic-833	177	7	by	by	ADP
hjic-833	177	8	symbols	symbol	NOUN
hjic-833	177	9	and	and	CCONJ
hjic-833	177	10	the	the	DET
hjic-833	177	11	solid	solid	ADJ
hjic-833	177	12	lines	line	NOUN
hjic-833	177	13	correspond	correspond	VERB
hjic-833	177	14	to	to	ADP
hjic-833	177	15	the	the	DET
hjic-833	177	16	present	present	NOUN
hjic-833	177	17	(	(	PUNCT
hjic-833	177	18	eq	eq	NOUN
hjic-833	177	19	.	.	NOUN
hjic-833	177	20	7	7	NUM
hjic-833	177	21	)	)	PUNCT
hjic-833	177	22	and	and	CCONJ
hjic-833	177	23	ivanov	ivanov	PROPN
hjic-833	177	24	’s	’s	PART
hjic-833	177	25	(	(	PUNCT
hjic-833	177	26	table	table	NOUN
hjic-833	177	27	1	1	NUM
hjic-833	177	28	:	:	SYM
hjic-833	177	29	4.4	4.4	NUM
hjic-833	177	30	)	)	PUNCT
hjic-833	177	31	theories	theory	NOUN
hjic-833	177	32	.	.	PUNCT
hjic-833	178	1	table	table	NOUN
hjic-833	178	2	1	1	NUM
hjic-833	178	3	:	:	SYM
hjic-833	178	4	4.4	4.4	NUM
hjic-833	178	5	,	,	PUNCT
hjic-833	178	6	the	the	DET
hjic-833	178	7	initial	initial	ADJ
hjic-833	178	8	magnetic	magnetic	ADJ
hjic-833	178	9	susceptibility	susceptibility	NOUN
hjic-833	178	10	at	at	ADP
hjic-833	178	11	lower	low	ADJ
hjic-833	178	12	densities	density	NOUN
hjic-833	178	13	is	be	AUX
hjic-833	178	14	also	also	ADV
hjic-833	178	15	increased	increase	VERB
hjic-833	178	16	.	.	PUNCT
hjic-833	179	1	when	when	SCONJ
hjic-833	179	2	m∗	m∗	NOUN
hjic-833	179	3	=	=	SYM
hjic-833	179	4	√	√	ADP
hjic-833	179	5	3	3	NUM
hjic-833	179	6	the	the	DET
hjic-833	179	7	difference	difference	NOUN
hjic-833	179	8	is	be	AUX
hjic-833	179	9	even	even	ADV
hjic-833	179	10	more	more	ADV
hjic-833	179	11	spectacular	spectacular	ADJ
hjic-833	179	12	between	between	ADP
hjic-833	179	13	the	the	DET
hjic-833	179	14	theories	theory	NOUN
hjic-833	179	15	(	(	PUNCT
hjic-833	179	16	fig	fig	NOUN
hjic-833	179	17	.	.	PUNCT
hjic-833	180	1	6	6	NUM
hjic-833	180	2	)	)	PUNCT
hjic-833	180	3	.	.	PUNCT
hjic-833	181	1	at	at	ADP
hjic-833	181	2	high	high	ADJ
hjic-833	181	3	densities	density	NOUN
hjic-833	181	4	the	the	DET
hjic-833	181	5	uncertainty	uncertainty	NOUN
hjic-833	181	6	of	of	ADP
hjic-833	181	7	initial	initial	ADJ
hjic-833	181	8	magnetic	magnetic	ADJ
hjic-833	181	9	susceptibility	susceptibility	NOUN
hjic-833	181	10	is	be	AUX
hjic-833	181	11	quite	quite	ADV
hjic-833	181	12	large	large	ADJ
hjic-833	181	13	with	with	ADP
hjic-833	181	14	regard	regard	NOUN
hjic-833	181	15	to	to	ADP
hjic-833	181	16	the	the	DET
hjic-833	181	17	simulation	simulation	NOUN
hjic-833	181	18	data	data	PROPN
hjic-833	181	19	.	.	PUNCT
hjic-833	182	1	the	the	DET
hjic-833	182	2	best	good	ADJ
hjic-833	182	3	fit	fit	ADJ
hjic-833	182	4	curve	curve	NOUN
hjic-833	182	5	belongs	belong	VERB
hjic-833	182	6	to	to	ADP
hjic-833	182	7	an	an	DET
hjic-833	182	8	energy	energy	NOUN
hjic-833	182	9	limit	limit	NOUN
hjic-833	182	10	of	of	ADP
hjic-833	182	11	71	71	NUM
hjic-833	182	12	%	%	NOUN
hjic-833	182	13	,	,	PUNCT
hjic-833	182	14	which	which	PRON
hjic-833	182	15	is	be	AUX
hjic-833	182	16	very	very	ADV
hjic-833	182	17	close	close	ADJ
hjic-833	182	18	to	to	ADP
hjic-833	182	19	the	the	DET
hjic-833	182	20	value	value	NOUN
hjic-833	182	21	from	from	ADP
hjic-833	182	22	references	reference	NOUN
hjic-833	182	23	[	[	X
hjic-833	182	24	15–17	15–17	NUM
hjic-833	182	25	]	]	PUNCT
hjic-833	182	26	of	of	ADP
hjic-833	182	27	70	70	NUM
hjic-833	182	28	%	%	NOUN
hjic-833	182	29	.	.	PUNCT
hjic-833	183	1	the	the	DET
hjic-833	183	2	maximum	maximum	ADJ
hjic-833	183	3	relative	relative	ADJ
hjic-833	183	4	deviation	deviation	NOUN
hjic-833	183	5	from	from	ADP
hjic-833	183	6	the	the	DET
hjic-833	183	7	simulation	simulation	NOUN
hjic-833	183	8	data	datum	NOUN
hjic-833	183	9	is	be	AUX
hjic-833	183	10	15.850	15.850	NUM
hjic-833	183	11	%	%	NOUN
hjic-833	183	12	.	.	PUNCT
hjic-833	184	1	when	when	SCONJ
hjic-833	184	2	m∗	m∗	NOUN
hjic-833	184	3	=	=	SYM
hjic-833	184	4	1	1	NUM
hjic-833	184	5	and	and	CCONJ
hjic-833	184	6	ρ∗	ρ∗	NOUN
hjic-833	184	7	=	=	PUNCT
hjic-833	184	8	0.95	0.95	NUM
hjic-833	184	9	,	,	PUNCT
hjic-833	184	10	with	with	ADP
hjic-833	184	11	an	an	DET
hjic-833	184	12	energy	energy	NOUN
hjic-833	184	13	limit	limit	NOUN
hjic-833	184	14	of	of	ADP
hjic-833	184	15	70	70	NUM
hjic-833	184	16	%	%	NOUN
hjic-833	184	17	,	,	PUNCT
hjic-833	184	18	the	the	DET
hjic-833	184	19	theoretical	theoretical	ADJ
hjic-833	184	20	value	value	NOUN
hjic-833	184	21	of	of	ADP
hjic-833	184	22	initial	initial	ADJ
hjic-833	184	23	magnetic	magnetic	ADJ
hjic-833	184	24	susceptibility	susceptibility	NOUN
hjic-833	184	25	is	be	AUX
hjic-833	184	26	χ0	χ0	PROPN
hjic-833	184	27	=	=	PROPN
hjic-833	184	28	1.042	1.042	NUM
hjic-833	184	29	,	,	PUNCT
hjic-833	184	30	and	and	CCONJ
hjic-833	184	31	if	if	SCONJ
hjic-833	184	32	the	the	DET
hjic-833	184	33	energy	energy	NOUN
hjic-833	184	34	limit	limit	NOUN
hjic-833	184	35	is	be	AUX
hjic-833	184	36	75	75	NUM
hjic-833	184	37	%	%	NOUN
hjic-833	184	38	,	,	PUNCT
hjic-833	184	39	χ0	χ0	PROPN
hjic-833	185	1	=	=	PROPN
hjic-833	185	2	0.937	0.937	NUM
hjic-833	185	3	.	.	PUNCT
hjic-833	186	1	both	both	DET
hjic-833	186	2	values	value	NOUN
hjic-833	186	3	are	be	AUX
hjic-833	186	4	higher	high	ADJ
hjic-833	186	5	than	than	ADP
hjic-833	186	6	the	the	DET
hjic-833	186	7	corresponding	corresponding	ADJ
hjic-833	186	8	simulation	simulation	NOUN
hjic-833	186	9	data	datum	NOUN
hjic-833	186	10	,	,	PUNCT
hjic-833	186	11	thus	thus	ADV
hjic-833	186	12	,	,	PUNCT
hjic-833	186	13	the	the	DET
hjic-833	186	14	energy	energy	NOUN
hjic-833	186	15	limit	limit	NOUN
hjic-833	186	16	has	have	VERB
hjic-833	186	17	to	to	PART
hjic-833	186	18	be	be	AUX
hjic-833	186	19	raised	raise	VERB
hjic-833	186	20	to	to	ADP
hjic-833	186	21	77	77	NUM
hjic-833	186	22	%	%	NOUN
hjic-833	186	23	.	.	PUNCT
hjic-833	187	1	the	the	DET
hjic-833	187	2	situation	situation	NOUN
hjic-833	187	3	is	be	AUX
hjic-833	187	4	similar	similar	ADJ
hjic-833	187	5	when	when	SCONJ
hjic-833	187	6	m∗	m∗	NOUN
hjic-833	187	7	=	=	SYM
hjic-833	187	8	√	√	ADP
hjic-833	187	9	2	2	NUM
hjic-833	187	10	and	and	CCONJ
hjic-833	187	11	ρ∗	ρ∗	NOUN
hjic-833	187	12	=	=	NOUN
hjic-833	187	13	0.95	0.95	NUM
hjic-833	187	14	,	,	PUNCT
hjic-833	187	15	namely	namely	ADV
hjic-833	187	16	χ0	χ0	ADJ
hjic-833	187	17	=	=	PROPN
hjic-833	187	18	8.701	8.701	NUM
hjic-833	187	19	when	when	SCONJ
hjic-833	187	20	the	the	DET
hjic-833	187	21	energy	energy	NOUN
hjic-833	187	22	limit	limit	NOUN
hjic-833	187	23	is	be	AUX
hjic-833	187	24	70	70	NUM
hjic-833	187	25	%	%	NOUN
hjic-833	187	26	and	and	CCONJ
hjic-833	187	27	χ0	χ0	PROPN
hjic-833	187	28	=	=	PROPN
hjic-833	187	29	6.363	6.363	NUM
hjic-833	187	30	when	when	SCONJ
hjic-833	187	31	it	it	PRON
hjic-833	187	32	is	be	AUX
hjic-833	187	33	75	75	NUM
hjic-833	187	34	%	%	NOUN
hjic-833	187	35	.	.	PUNCT
hjic-833	188	1	probably	probably	ADV
hjic-833	188	2	at	at	ADP
hjic-833	188	3	lower	low	ADJ
hjic-833	188	4	dipole	dipole	NOUN
hjic-833	188	5	moments	moment	NOUN
hjic-833	188	6	and	and	CCONJ
hjic-833	188	7	higher	high	ADJ
hjic-833	188	8	densities	density	NOUN
hjic-833	188	9	the	the	DET
hjic-833	188	10	two	two	NUM
hjic-833	188	11	adjacent	adjacent	ADJ
hjic-833	188	12	particles	particle	NOUN
hjic-833	188	13	can	can	AUX
hjic-833	188	14	not	not	PART
hjic-833	188	15	be	be	AUX
hjic-833	188	16	considered	consider	VERB
hjic-833	188	17	as	as	ADP
hjic-833	188	18	a	a	DET
hjic-833	188	19	chain	chain	NOUN
hjic-833	188	20	even	even	ADV
hjic-833	188	21	though	though	SCONJ
hjic-833	188	22	the	the	DET
hjic-833	188	23	interaction	interaction	NOUN
hjic-833	188	24	energy	energy	NOUN
hjic-833	188	25	exceeds	exceed	VERB
hjic-833	188	26	an	an	DET
hjic-833	188	27	energy	energy	NOUN
hjic-833	188	28	limit	limit	NOUN
hjic-833	188	29	of	of	ADP
hjic-833	188	30	70	70	NUM
hjic-833	188	31	%	%	NOUN
hjic-833	188	32	or	or	CCONJ
hjic-833	188	33	75	75	NUM
hjic-833	188	34	%	%	NOUN
hjic-833	188	35	for	for	ADP
hjic-833	188	36	example	example	NOUN
hjic-833	188	37	because	because	SCONJ
hjic-833	188	38	the	the	DET
hjic-833	188	39	average	average	ADJ
hjic-833	188	40	kinetic	kinetic	ADJ
hjic-833	188	41	energy	energy	NOUN
hjic-833	188	42	is	be	AUX
hjic-833	188	43	closer	close	ADJ
hjic-833	188	44	to	to	ADP
hjic-833	188	45	this	this	DET
hjic-833	188	46	interaction	interaction	NOUN
hjic-833	188	47	energy	energy	NOUN
hjic-833	188	48	than	than	SCONJ
hjic-833	188	49	is	be	AUX
hjic-833	188	50	the	the	DET
hjic-833	188	51	case	case	NOUN
hjic-833	188	52	when	when	SCONJ
hjic-833	188	53	m∗	m∗	NOUN
hjic-833	188	54	=	=	SYM
hjic-833	188	55	√	√	ADP
hjic-833	189	1	3	3	NUM
hjic-833	189	2	.	.	PUNCT
hjic-833	190	1	therefore	therefore	ADV
hjic-833	190	2	,	,	PUNCT
hjic-833	190	3	the	the	DET
hjic-833	190	4	duration	duration	NOUN
hjic-833	190	5	of	of	ADP
hjic-833	190	6	chain	chain	NOUN
hjic-833	190	7	formation	formation	NOUN
hjic-833	190	8	is	be	AUX
hjic-833	190	9	short	short	ADJ
hjic-833	190	10	to	to	PART
hjic-833	190	11	draw	draw	VERB
hjic-833	190	12	the	the	DET
hjic-833	190	13	particles	particle	NOUN
hjic-833	190	14	together	together	ADV
hjic-833	190	15	.	.	PUNCT
hjic-833	191	1	4	4	X
hjic-833	191	2	.	.	X
hjic-833	191	3	conclusion	conclusion	VERB
hjic-833	191	4	the	the	DET
hjic-833	191	5	initial	initial	ADJ
hjic-833	191	6	magnetic	magnetic	ADJ
hjic-833	191	7	susceptibility	susceptibility	NOUN
hjic-833	191	8	of	of	ADP
hjic-833	191	9	dipolar	dipolar	ADJ
hjic-833	191	10	hard	hard	ADJ
hjic-833	191	11	sphere	sphere	NOUN
hjic-833	191	12	fluids	fluid	NOUN
hjic-833	191	13	was	be	AUX
hjic-833	191	14	described	describe	VERB
hjic-833	191	15	by	by	ADP
hjic-833	191	16	the	the	DET
hjic-833	191	17	help	help	NOUN
hjic-833	191	18	of	of	ADP
hjic-833	191	19	the	the	DET
hjic-833	191	20	probability	probability	NOUN
hjic-833	191	21	variable	variable	NOUN
hjic-833	191	22	p	p	NOUN
hjic-833	191	23	supplemented	supplement	VERB
hjic-833	191	24	by	by	ADP
hjic-833	191	25	pshenichnikov	pshenichnikov	PROPN
hjic-833	191	26	’s	’s	PART
hjic-833	191	27	well	well	ADV
hjic-833	191	28	-	-	PUNCT
hjic-833	191	29	known	know	VERB
hjic-833	191	30	theory	theory	NOUN
hjic-833	191	31	.	.	PUNCT
hjic-833	192	1	the	the	DET
hjic-833	192	2	validity	validity	NOUN
hjic-833	192	3	of	of	ADP
hjic-833	192	4	the	the	DET
hjic-833	192	5	present	present	ADJ
hjic-833	192	6	theory	theory	NOUN
hjic-833	192	7	is	be	AUX
hjic-833	192	8	up	up	ADP
hjic-833	192	9	to	to	ADP
hjic-833	192	10	ρ∗	ρ∗	NOUN
hjic-833	192	11	=	=	PUNCT
hjic-833	192	12	0.95	0.95	NUM
hjic-833	192	13	and	and	CCONJ
hjic-833	192	14	at	at	ADP
hjic-833	192	15	leastm∗	leastm∗	NOUN
hjic-833	192	16	=	=	SYM
hjic-833	192	17	√	√	ADP
hjic-833	192	18	3	3	NUM
hjic-833	192	19	.	.	PUNCT
hjic-833	193	1	in	in	ADP
hjic-833	193	2	addition	addition	NOUN
hjic-833	193	3	to	to	ADP
hjic-833	193	4	the	the	DET
hjic-833	193	5	theoretical	theoretical	ADJ
hjic-833	193	6	work	work	NOUN
hjic-833	193	7	,	,	PUNCT
hjic-833	193	8	monte	monte	PROPN
hjic-833	193	9	carlo	carlo	PROPN
hjic-833	193	10	simulations	simulation	NOUN
hjic-833	193	11	were	be	AUX
hjic-833	193	12	run	run	VERB
hjic-833	193	13	to	to	PART
hjic-833	193	14	confirm	confirm	VERB
hjic-833	193	15	our	our	PRON
hjic-833	193	16	investigation	investigation	NOUN
hjic-833	193	17	.	.	PUNCT
hjic-833	194	1	at	at	ADP
hjic-833	194	2	higher	high	ADJ
hjic-833	194	3	densities	density	NOUN
hjic-833	194	4	,	,	PUNCT
hjic-833	194	5	especially	especially	ADV
hjic-833	194	6	with	with	ADP
hjic-833	194	7	higher	high	ADJ
hjic-833	194	8	dipole	dipole	NOUN
hjic-833	194	9	moments	moment	NOUN
hjic-833	194	10	,	,	PUNCT
hjic-833	194	11	the	the	DET
hjic-833	194	12	former	former	ADJ
hjic-833	194	13	related	related	ADJ
hjic-833	194	14	theories	theory	NOUN
hjic-833	194	15	significantly	significantly	ADV
hjic-833	194	16	underestimate	underestimate	VERB
hjic-833	194	17	the	the	DET
hjic-833	194	18	simulation	simulation	NOUN
hjic-833	194	19	data	datum	NOUN
hjic-833	194	20	but	but	CCONJ
hjic-833	194	21	good	good	ADJ
hjic-833	194	22	results	result	NOUN
hjic-833	194	23	are	be	AUX
hjic-833	194	24	also	also	ADV
hjic-833	194	25	provided	provide	VERB
hjic-833	194	26	by	by	ADP
hjic-833	194	27	the	the	DET
hjic-833	194	28	presented	present	VERB
hjic-833	194	29	theory	theory	NOUN
hjic-833	194	30	within	within	ADP
hjic-833	194	31	this	this	DET
hjic-833	194	32	range	range	NOUN
hjic-833	194	33	.	.	PUNCT
hjic-833	195	1	by	by	ADP
hjic-833	195	2	considering	consider	VERB
hjic-833	195	3	the	the	DET
hjic-833	195	4	green	green	ADJ
hjic-833	195	5	curves	curve	NOUN
hjic-833	195	6	and	and	CCONJ
hjic-833	195	7	blue	blue	ADJ
hjic-833	195	8	dots	dot	NOUN
hjic-833	195	9	in	in	ADP
hjic-833	195	10	figs	fig	NOUN
hjic-833	195	11	.	.	PUNCT
hjic-833	196	1	4	4	NUM
hjic-833	196	2	-	-	SYM
hjic-833	196	3	6	6	NUM
hjic-833	196	4	,	,	PUNCT
hjic-833	196	5	it	it	PRON
hjic-833	196	6	is	be	AUX
hjic-833	196	7	obvious	obvious	ADJ
hjic-833	196	8	that	that	SCONJ
hjic-833	196	9	the	the	DET
hjic-833	196	10	simple	simple	ADJ
hjic-833	196	11	quadratic	quadratic	ADJ
hjic-833	196	12	or	or	CCONJ
hjic-833	196	13	tertiary	tertiary	ADJ
hjic-833	196	14	polynomial	polynomial	ADJ
hjic-833	196	15	approach	approach	NOUN
hjic-833	196	16	is	be	AUX
hjic-833	196	17	outdated	outdate	VERB
hjic-833	196	18	,	,	PUNCT
hjic-833	196	19	therefore	therefore	ADV
hjic-833	196	20	,	,	PUNCT
hjic-833	196	21	the	the	DET
hjic-833	196	22	taylor	taylor	PROPN
hjic-833	196	23	series	series	PROPN
hjic-833	196	24	expansion	expansion	PROPN
hjic-833	196	25	of	of	ADP
hjic-833	196	26	(	(	PUNCT
hjic-833	196	27	1	1	NUM
hjic-833	196	28	+	+	SYM
hjic-833	196	29	p)/(1−	p)/(1−	ADP
hjic-833	196	30	p	p	NOUN
hjic-833	196	31	)	)	PUNCT
hjic-833	196	32	contains	contain	VERB
hjic-833	196	33	powers	power	NOUN
hjic-833	196	34	even	even	ADV
hjic-833	196	35	as	as	ADV
hjic-833	196	36	high	high	ADJ
hjic-833	196	37	as	as	ADP
hjic-833	196	38	infinity	infinity	NOUN
hjic-833	196	39	.	.	PUNCT
hjic-833	197	1	5	5	X
hjic-833	197	2	.	.	X
hjic-833	197	3	appendix	appendix	VERB
hjic-833	197	4	5.1	5.1	NUM
hjic-833	197	5	appendix	appendix	NOUN
hjic-833	197	6	a	a	DET
hjic-833	197	7	the	the	DET
hjic-833	197	8	particle	particle	NOUN
hjic-833	197	9	distribution	distribution	NOUN
hjic-833	197	10	can	can	AUX
hjic-833	197	11	be	be	AUX
hjic-833	197	12	obtained	obtain	VERB
hjic-833	197	13	by	by	ADP
hjic-833	197	14	dividing	divide	VERB
hjic-833	197	15	the	the	DET
hjic-833	197	16	number	number	NOUN
hjic-833	197	17	of	of	ADP
hjic-833	197	18	particles	particle	NOUN
hjic-833	197	19	in	in	ADP
hjic-833	197	20	chains	chain	NOUN
hjic-833	197	21	of	of	ADP
hjic-833	197	22	length	length	NOUN
hjic-833	197	23	k	k	PROPN
hjic-833	197	24	by	by	ADP
hjic-833	197	25	the	the	DET
hjic-833	197	26	total	total	ADJ
hjic-833	197	27	number	number	NOUN
hjic-833	197	28	of	of	ADP
hjic-833	197	29	particles	particle	NOUN
hjic-833	197	30	:	:	PUNCT
hjic-833	197	31	hk	hk	PROPN
hjic-833	197	32	=	=	PUNCT
hjic-833	197	33	kgk∑	kgk∑	PROPN
hjic-833	197	34	kgk	kgk	PROPN
hjic-833	197	35	=	=	PUNCT
hjic-833	197	36	kqpk−1∑	kqpk−1∑	VERB
hjic-833	197	37	kqpk−1	kqpk−1	PROPN
hjic-833	198	1	=	=	SYM
hjic-833	198	2	kpk−1∑	kpk−1∑	PROPN
hjic-833	198	3	kpk−1	kpk−1	PROPN
hjic-833	198	4	=	=	PUNCT
hjic-833	198	5	kpk−1	kpk−1	PROPN
hjic-833	198	6	1	1	NUM
hjic-833	199	1	+	+	CCONJ
hjic-833	200	1	2p+	2p+	NUM
hjic-833	200	2	3p2	3p2	NUM
hjic-833	200	3	+	+	CCONJ
hjic-833	200	4	·	·	PUNCT
hjic-833	200	5	·	·	PUNCT
hjic-833	200	6	·	·	PUNCT
hjic-833	201	1	=	=	PUNCT
hjic-833	201	2	=	=	PUNCT
hjic-833	201	3	kpk−1	kpk−1	PROPN
hjic-833	201	4	(	(	PUNCT
hjic-833	201	5	1+p+	1+p+	NUM
hjic-833	201	6	p2	p2	PROPN
hjic-833	201	7	+	+	X
hjic-833	201	8	·	·	PUNCT
hjic-833	201	9	·	·	PUNCT
hjic-833	201	10	·	·	PUNCT
hjic-833	201	11	)	)	PUNCT
hjic-833	202	1	+	+	CCONJ
hjic-833	202	2	(	(	PUNCT
hjic-833	202	3	p+	p+	NOUN
hjic-833	202	4	p2	p2	X
hjic-833	202	5	+	+	CCONJ
hjic-833	202	6	p3	p3	PROPN
hjic-833	202	7	+	+	CCONJ
hjic-833	202	8	·	·	PUNCT
hjic-833	202	9	·	·	PUNCT
hjic-833	202	10	·	·	PUNCT
hjic-833	202	11	)	)	PUNCT
hjic-833	203	1	+	+	CCONJ
hjic-833	203	2	(	(	PUNCT
hjic-833	203	3	p2	p2	X
hjic-833	203	4	+	+	CCONJ
hjic-833	203	5	p3	p3	NOUN
hjic-833	203	6	+	+	CCONJ
hjic-833	203	7	p4	p4	ADJ
hjic-833	203	8	+	+	X
hjic-833	203	9	.	.	PUNCT
hjic-833	203	10	.	.	PUNCT
hjic-833	203	11	.	.	PUNCT
hjic-833	203	12	)	)	PUNCT
hjic-833	204	1	+	+	CCONJ
hjic-833	204	2	·	·	PUNCT
hjic-833	204	3	·	·	PUNCT
hjic-833	204	4	·	·	PUNCT
hjic-833	205	1	=	=	PUNCT
hjic-833	205	2	=	=	PUNCT
hjic-833	205	3	kpk−1	kpk−1	PROPN
hjic-833	205	4	(	(	PUNCT
hjic-833	205	5	1	1	NUM
hjic-833	205	6	+	+	NUM
hjic-833	205	7	p+	p+	NOUN
hjic-833	205	8	p2	p2	NOUN
hjic-833	205	9	+	+	CCONJ
hjic-833	205	10	·	·	PUNCT
hjic-833	205	11	·	·	PUNCT
hjic-833	205	12	·	·	PUNCT
hjic-833	205	13	)	)	PUNCT
hjic-833	206	1	+	+	CCONJ
hjic-833	206	2	(	(	PUNCT
hjic-833	206	3	p+	p+	NOUN
hjic-833	206	4	p2	p2	X
hjic-833	206	5	+	+	CCONJ
hjic-833	206	6	p3	p3	PROPN
hjic-833	206	7	+	+	CCONJ
hjic-833	206	8	·	·	PUNCT
hjic-833	206	9	·	·	PUNCT
hjic-833	206	10	·	·	PUNCT
hjic-833	206	11	)	)	PUNCT
hjic-833	207	1	+	+	CCONJ
hjic-833	207	2	(	(	PUNCT
hjic-833	207	3	p2	p2	X
hjic-833	207	4	+	+	CCONJ
hjic-833	207	5	p3	p3	NOUN
hjic-833	207	6	+	+	CCONJ
hjic-833	207	7	p4	p4	ADJ
hjic-833	207	8	+	+	X
hjic-833	207	9	·	·	PUNCT
hjic-833	207	10	·	·	PUNCT
hjic-833	207	11	·	·	PUNCT
hjic-833	207	12	)	)	PUNCT
hjic-833	208	1	+	+	CCONJ
hjic-833	208	2	·	·	PUNCT
hjic-833	208	3	·	·	PUNCT
hjic-833	208	4	·	·	PUNCT
hjic-833	209	1	=	=	PUNCT
hjic-833	210	1	=	=	PUNCT
hjic-833	210	2	kpk−1	kpk−1	PROPN
hjic-833	210	3	1	1	NUM
hjic-833	210	4	1−	1−	NUM
hjic-833	210	5	p	p	NOUN
hjic-833	211	1	+	+	CCONJ
hjic-833	211	2	p	p	X
hjic-833	211	3	1−	1−	NUM
hjic-833	211	4	p	p	NOUN
hjic-833	211	5	+	+	CCONJ
hjic-833	211	6	p2	p2	X
hjic-833	211	7	1−	1−	NUM
hjic-833	211	8	p	p	NOUN
hjic-833	211	9	+	+	PROPN
hjic-833	211	10	·	·	PUNCT
hjic-833	211	11	·	·	PUNCT
hjic-833	211	12	·	·	PUNCT
hjic-833	212	1	=	=	PUNCT
hjic-833	212	2	qkpk−1	qkpk−1	NOUN
hjic-833	212	3	1	1	NUM
hjic-833	212	4	+	+	NUM
hjic-833	212	5	p+	p+	NOUN
hjic-833	212	6	p2	p2	NOUN
hjic-833	212	7	+	+	CCONJ
hjic-833	212	8	·	·	PUNCT
hjic-833	212	9	·	·	PUNCT
hjic-833	212	10	·	·	PUNCT
hjic-833	213	1	=	=	PUNCT
hjic-833	213	2	qkpk−1	qkpk−1	PROPN
hjic-833	213	3	1	1	NUM
hjic-833	213	4	1−	1−	NUM
hjic-833	213	5	p	p	NOUN
hjic-833	213	6	=	=	NOUN
hjic-833	213	7	q2kpk−1	q2kpk−1	PROPN
hjic-833	213	8	.	.	PUNCT
hjic-833	214	1	(	(	PUNCT
hjic-833	214	2	14	14	NUM
hjic-833	214	3	)	)	PUNCT
hjic-833	214	4	hungarian	hungarian	ADJ
hjic-833	214	5	journal	journal	NOUN
hjic-833	214	6	of	of	ADP
hjic-833	214	7	industry	industry	NOUN
hjic-833	214	8	and	and	CCONJ
hjic-833	214	9	chemistry	chemistry	NOUN
hjic-833	214	10	the	the	DET
hjic-833	214	11	initial	initial	ADJ
hjic-833	214	12	magnetic	magnetic	ADJ
hjic-833	214	13	susceptibility	susceptibility	NOUN
hjic-833	214	14	of	of	ADP
hjic-833	214	15	dense	dense	ADJ
hjic-833	214	16	aggregated	aggregate	VERB
hjic-833	214	17	dipolar	dipolar	ADJ
hjic-833	214	18	fluids	fluid	NOUN
hjic-833	214	19	53	53	NUM
hjic-833	214	20	the	the	DET
hjic-833	214	21	sum	sum	NOUN
hjic-833	214	22	of	of	ADP
hjic-833	214	23	hk	hk	PROPN
hjic-833	214	24	terms	term	NOUN
hjic-833	214	25	must	must	AUX
hjic-833	214	26	be	be	AUX
hjic-833	214	27	equal	equal	ADJ
hjic-833	214	28	to	to	ADP
hjic-833	214	29	one	one	NUM
hjic-833	214	30	:	:	PUNCT
hjic-833	214	31	∞∑	∞∑	NUM
hjic-833	214	32	k=1	k=1	PUNCT
hjic-833	214	33	hk	hk	PROPN
hjic-833	214	34	=	=	PUNCT
hjic-833	215	1	∞∑	∞∑	NUM
hjic-833	215	2	k=1	k=1	PUNCT
hjic-833	215	3	q2kpk−1	q2kpk−1	PROPN
hjic-833	215	4	=	=	SYM
hjic-833	215	5	q2	q2	NOUN
hjic-833	215	6	(	(	PUNCT
hjic-833	215	7	1	1	NUM
hjic-833	215	8	+	+	CCONJ
hjic-833	215	9	2p+	2p+	NUM
hjic-833	215	10	3p2	3p2	NUM
hjic-833	215	11	+	+	PUNCT
hjic-833	215	12	.	.	PUNCT
hjic-833	215	13	.	.	PUNCT
hjic-833	215	14	.	.	PUNCT
hjic-833	215	15	)	)	PUNCT
hjic-833	216	1	=	=	PUNCT
hjic-833	216	2	q2	q2	NOUN
hjic-833	216	3	[	[	X
hjic-833	216	4	(	(	PUNCT
hjic-833	216	5	1	1	NUM
hjic-833	216	6	+	+	NUM
hjic-833	216	7	p+	p+	NOUN
hjic-833	216	8	p2	p2	NOUN
hjic-833	216	9	+	+	CCONJ
hjic-833	216	10	·	·	PUNCT
hjic-833	216	11	·	·	PUNCT
hjic-833	216	12	·	·	PUNCT
hjic-833	216	13	)	)	PUNCT
hjic-833	217	1	+	+	CCONJ
hjic-833	217	2	(	(	PUNCT
hjic-833	217	3	p+	p+	NOUN
hjic-833	217	4	p2	p2	X
hjic-833	217	5	+	+	CCONJ
hjic-833	217	6	p3	p3	PROPN
hjic-833	217	7	·	·	PUNCT
hjic-833	217	8	·	·	PUNCT
hjic-833	217	9	·	·	PUNCT
hjic-833	217	10	)	)	PUNCT
hjic-833	218	1	+	+	CCONJ
hjic-833	218	2	·	·	PUNCT
hjic-833	218	3	·	·	PUNCT
hjic-833	218	4	·	·	PUNCT
hjic-833	218	5	]	]	PUNCT
hjic-833	219	1	=	=	PUNCT
hjic-833	219	2	=	=	SYM
hjic-833	219	3	q2	q2	NOUN
hjic-833	219	4	[	[	PUNCT
hjic-833	219	5	1	1	NUM
hjic-833	219	6	1−	1−	NUM
hjic-833	219	7	p	p	NOUN
hjic-833	220	1	+	+	CCONJ
hjic-833	220	2	p	p	X
hjic-833	220	3	1−	1−	NUM
hjic-833	220	4	p	p	NOUN
hjic-833	220	5	+	+	CCONJ
hjic-833	220	6	p2	p2	X
hjic-833	220	7	1−	1−	NUM
hjic-833	220	8	p	p	NOUN
hjic-833	220	9	+	+	PROPN
hjic-833	220	10	·	·	PUNCT
hjic-833	220	11	·	·	PUNCT
hjic-833	220	12	·	·	PUNCT
hjic-833	220	13	]	]	PUNCT
hjic-833	221	1	=	=	PUNCT
hjic-833	221	2	q	q	X
hjic-833	222	1	[	[	PUNCT
hjic-833	222	2	1	1	NUM
hjic-833	222	3	+	+	NUM
hjic-833	222	4	p+	p+	NOUN
hjic-833	222	5	p2	p2	NOUN
hjic-833	222	6	+	+	X
hjic-833	222	7	.	.	PUNCT
hjic-833	222	8	.	.	PUNCT
hjic-833	222	9	.	.	PUNCT
hjic-833	223	1	]	]	PUNCT
hjic-833	224	1	=	=	PUNCT
hjic-833	224	2	q	q	X
hjic-833	225	1	1	1	NUM
hjic-833	225	2	1−	1−	NUM
hjic-833	225	3	p	p	NOUN
hjic-833	225	4	=	=	NOUN
hjic-833	225	5	1	1	X
hjic-833	225	6	.	.	PUNCT
hjic-833	226	1	(	(	PUNCT
hjic-833	226	2	15	15	NUM
hjic-833	226	3	)	)	PUNCT
hjic-833	226	4	5.2	5.2	NUM
hjic-833	226	5	appendix	appendix	X
hjic-833	226	6	b	b	PROPN
hjic-833	226	7	χ0	χ0	PROPN
hjic-833	226	8	=	=	X
hjic-833	226	9	∂	∂	NUM
hjic-833	226	10	∂h0	∂h0	ADV
hjic-833	226	11	∣∣∣∣	∣∣∣∣	NOUN
hjic-833	226	12	h0=0	h0=0	PROPN
hjic-833	226	13	ρm	ρm	ADP
hjic-833	226	14	∞∑	∞∑	NUM
hjic-833	226	15	k=1	k=1	X
hjic-833	226	16	hkl	hkl	NOUN
hjic-833	226	17	(	(	PUNCT
hjic-833	226	18	kmhe	kmhe	NOUN
hjic-833	226	19	kbt	kbt	PROPN
hjic-833	226	20	)	)	PUNCT
hjic-833	227	1	=	=	SYM
hjic-833	227	2	∂	∂	NUM
hjic-833	227	3	∂h0	∂h0	ADV
hjic-833	227	4	∣∣∣∣	∣∣∣∣	NOUN
hjic-833	227	5	h0=0	h0=0	PROPN
hjic-833	227	6	ρm	ρm	ADP
hjic-833	227	7	∞∑	∞∑	NUM
hjic-833	227	8	k=1	k=1	PROPN
hjic-833	227	9	q2kpk−1l	q2kpk−1l	PROPN
hjic-833	227	10	km	km	PROPN
hjic-833	227	11	(	(	PUNCT
hjic-833	227	12	h0	h0	PROPN
hjic-833	227	13	+	+	CCONJ
hjic-833	227	14	4π	4π	NUM
hjic-833	227	15	3	3	NUM
hjic-833	227	16	ρml	ρml	NOUN
hjic-833	227	17	(	(	PUNCT
hjic-833	227	18	mh0	mh0	PROPN
hjic-833	227	19	kbt	kbt	PROPN
hjic-833	227	20	)	)	PUNCT
hjic-833	227	21	)	)	PUNCT
hjic-833	228	1	kbt	kbt	PROPN
hjic-833	228	2			NOUN
hjic-833	228	3	=	=	PUNCT
hjic-833	229	1	=	=	SYM
hjic-833	229	2	q2ρm	q2ρm	NOUN
hjic-833	229	3	∂	∂	NOUN
hjic-833	229	4	∂h0	∂h0	ADV
hjic-833	229	5	∣∣∣∣	∣∣∣∣	NOUN
hjic-833	229	6	h0=0	h0=0	PROPN
hjic-833	230	1	∞∑	∞∑	NUM
hjic-833	231	1	k=1	k=1	X
hjic-833	231	2	kpk−1l	kpk−1l	PROPN
hjic-833	231	3	kmh0	kmh0	PROPN
hjic-833	231	4	kbt	kbt	PROPN
hjic-833	231	5	+	+	CCONJ
hjic-833	231	6	4π	4π	NUM
hjic-833	231	7	3	3	NUM
hjic-833	231	8	kρm2l	kρm2l	PROPN
hjic-833	231	9	(	(	PUNCT
hjic-833	231	10	mh0	mh0	PROPN
hjic-833	231	11	kbt	kbt	PROPN
hjic-833	231	12	)	)	PUNCT
hjic-833	231	13	kbt	kbt	PROPN
hjic-833	231	14			NOUN
hjic-833	231	15	=	=	PUNCT
hjic-833	232	1	=	=	SYM
hjic-833	232	2	q2ρm	q2ρm	X
hjic-833	233	1	∞∑	∞∑	NUM
hjic-833	233	2	k=1	k=1	PUNCT
hjic-833	234	1	kpk−1	kpk−1	PROPN
hjic-833	234	2	1	1	NUM
hjic-833	234	3	3	3	NUM
hjic-833	234	4			NOUN
hjic-833	234	5	km	km	VERB
hjic-833	234	6	kbt	kbt	PROPN
hjic-833	234	7	+	+	CCONJ
hjic-833	234	8	4π	4π	NUM
hjic-833	234	9	3	3	NUM
hjic-833	234	10	kρm2	kρm2	VERB
hjic-833	234	11	1	1	NUM
hjic-833	234	12	3	3	NUM
hjic-833	234	13	m	m	NOUN
hjic-833	234	14	kbt	kbt	PROPN
hjic-833	234	15	kbt	kbt	PROPN
hjic-833	234	16			PUNCT
hjic-833	234	17	=	=	SYM
hjic-833	234	18	q2	q2	PROPN
hjic-833	234	19	∞∑	∞∑	NUM
hjic-833	234	20	k=1	k=1	PUNCT
hjic-833	234	21	k2pk−1	k2pk−1	PROPN
hjic-833	234	22	(	(	PUNCT
hjic-833	234	23	1	1	NUM
hjic-833	234	24	3	3	NUM
hjic-833	234	25	ρm2	ρm2	PROPN
hjic-833	234	26	kbt	kbt	PROPN
hjic-833	234	27	+	+	CCONJ
hjic-833	234	28	1	1	NUM
hjic-833	234	29	9	9	NUM
hjic-833	234	30	4π	4π	NUM
hjic-833	234	31	3	3	NUM
hjic-833	234	32	ρ2m4	ρ2m4	PROPN
hjic-833	234	33	k2	k2	NOUN
hjic-833	234	34	bt	bt	NOUN
hjic-833	234	35	2	2	NUM
hjic-833	234	36	)	)	PUNCT
hjic-833	234	37	=	=	SYM
hjic-833	234	38	q2	q2	NOUN
hjic-833	234	39	(	(	PUNCT
hjic-833	234	40	χl	χl	NOUN
hjic-833	234	41	+	+	CCONJ
hjic-833	234	42	4π	4π	NUM
hjic-833	234	43	3	3	NUM
hjic-833	234	44	χ2	χ2	PROPN
hjic-833	234	45	l	l	NOUN
hjic-833	234	46	)	)	PUNCT
hjic-833	235	1	∞∑	∞∑	NUM
hjic-833	235	2	k=1	k=1	ADJ
hjic-833	235	3	k2pk−1	k2pk−1	PROPN
hjic-833	235	4	=	=	SYM
hjic-833	235	5	1	1	NUM
hjic-833	235	6	+	+	CCONJ
hjic-833	235	7	p	p	X
hjic-833	235	8	1−	1−	NUM
hjic-833	235	9	p	p	NOUN
hjic-833	235	10	χl	χl	X
hjic-833	235	11	(	(	PUNCT
hjic-833	235	12	1	1	NUM
hjic-833	235	13	+	+	SYM
hjic-833	235	14	4π	4π	NUM
hjic-833	235	15	3	3	NUM
hjic-833	235	16	χl	χl	NOUN
hjic-833	235	17	)	)	PUNCT
hjic-833	235	18	.	.	PUNCT
hjic-833	236	1	(	(	PUNCT
hjic-833	236	2	16	16	NUM
hjic-833	236	3	)	)	PUNCT
hjic-833	236	4	references	reference	NOUN
hjic-833	236	5	[	[	X
hjic-833	236	6	1	1	NUM
hjic-833	236	7	]	]	X
hjic-833	236	8	langevin	langevin	NOUN
hjic-833	236	9	,	,	PUNCT
hjic-833	236	10	p.	p.	NOUN
hjic-833	236	11	:	:	PUNCT
hjic-833	237	1	sur	sur	PROPN
hjic-833	237	2	la	la	PROPN
hjic-833	237	3	théorie	théorie	PROPN
hjic-833	237	4	du	du	PROPN
hjic-833	237	5	magnétisme	magnétisme	PROPN
hjic-833	237	6	,	,	PUNCT
hjic-833	237	7	journal	journal	NOUN
hjic-833	237	8	de	de	X
hjic-833	237	9	physique	physique	PROPN
hjic-833	237	10	théorique	théorique	PROPN
hjic-833	237	11	et	et	PROPN
hjic-833	237	12	appliquée	appliquée	PROPN
hjic-833	237	13	,	,	PUNCT
hjic-833	237	14	1905	1905	NUM
hjic-833	237	15	4(1	4(1	NOUN
hjic-833	237	16	)	)	PUNCT
hjic-833	237	17	,	,	PUNCT
hjic-833	237	18	678–693	678–693	NUM
hjic-833	237	19	doi	doi	NOUN
hjic-833	237	20	:	:	PUNCT
hjic-833	237	21	10.1051	10.1051	NUM
hjic-833	237	22	/	/	SYM
hjic-833	237	23	jphystap:019050040067800	jphystap:019050040067800	PRON
hjic-833	237	24	[	[	X
hjic-833	237	25	2	2	NUM
hjic-833	237	26	]	]	PUNCT
hjic-833	237	27	weiss	weiss	PROPN
hjic-833	237	28	,	,	PUNCT
hjic-833	237	29	p.	p.	NOUN
hjic-833	237	30	:	:	PUNCT
hjic-833	237	31	l’hypothése	l’hypothése	ADJ
hjic-833	237	32	du	du	PROPN
hjic-833	237	33	champ	champ	PROPN
hjic-833	237	34	moléculaire	moléculaire	PROPN
hjic-833	237	35	et	et	PROPN
hjic-833	237	36	la	la	PROPN
hjic-833	237	37	propriété	propriété	PROPN
hjic-833	237	38	ferromagnétique	ferromagnétique	PROPN
hjic-833	237	39	,	,	PUNCT
hjic-833	237	40	journal	journal	NOUN
hjic-833	237	41	de	de	X
hjic-833	237	42	physique	physique	PROPN
hjic-833	237	43	théorique	théorique	PROPN
hjic-833	237	44	et	et	PROPN
hjic-833	237	45	appliquée	appliquée	PROPN
hjic-833	237	46	,	,	PUNCT
hjic-833	237	47	1907	1907	NUM
hjic-833	237	48	6(1	6(1	NUM
hjic-833	237	49	)	)	PUNCT
hjic-833	237	50	,	,	PUNCT
hjic-833	237	51	661–690	661–690	NUM
hjic-833	237	52	doi	doi	NOUN
hjic-833	237	53	:	:	PUNCT
hjic-833	237	54	10.1051	10.1051	NUM
hjic-833	237	55	/	/	SYM
hjic-833	237	56	jphystap:019070060066100	jphystap:019070060066100	NOUN
hjic-833	238	1	[	[	X
hjic-833	238	2	3	3	NUM
hjic-833	238	3	]	]	X
hjic-833	238	4	pshenichnikov	pshenichnikov	PROPN
hjic-833	238	5	,	,	PUNCT
hjic-833	238	6	a.	a.	PROPN
hjic-833	238	7	f.	f.	PROPN
hjic-833	238	8	;	;	PUNCT
hjic-833	238	9	mekhonoshin	mekhonoshin	NOUN
hjic-833	238	10	,	,	PUNCT
hjic-833	238	11	v.	v.	PROPN
hjic-833	238	12	v.	v.	ADJ
hjic-833	238	13	:	:	PUNCT
hjic-833	238	14	equilibrium	equilibrium	NOUN
hjic-833	238	15	magnetization	magnetization	NOUN
hjic-833	238	16	and	and	CCONJ
hjic-833	238	17	microstructure	microstructure	NOUN
hjic-833	238	18	of	of	ADP
hjic-833	238	19	the	the	DET
hjic-833	238	20	system	system	NOUN
hjic-833	238	21	of	of	ADP
hjic-833	238	22	superparamagnetic	superparamagnetic	ADJ
hjic-833	238	23	interacting	interacting	ADJ
hjic-833	238	24	particles	particle	NOUN
hjic-833	238	25	:	:	PUNCT
hjic-833	238	26	numerical	numerical	PROPN
hjic-833	238	27	simulation	simulation	PROPN
hjic-833	238	28	,	,	PUNCT
hjic-833	238	29	journal	journal	NOUN
hjic-833	238	30	of	of	ADP
hjic-833	238	31	magnetism	magnetism	NOUN
hjic-833	238	32	and	and	CCONJ
hjic-833	238	33	magnetic	magnetic	ADJ
hjic-833	238	34	materials	material	NOUN
hjic-833	238	35	,	,	PUNCT
hjic-833	238	36	2000	2000	NUM
hjic-833	238	37	213(3	213(3	NUM
hjic-833	238	38	)	)	PUNCT
hjic-833	238	39	,	,	PUNCT
hjic-833	238	40	357–369	357–369	NUM
hjic-833	238	41	doi	doi	NOUN
hjic-833	238	42	:	:	PUNCT
hjic-833	238	43	10.1016	10.1016	NUM
hjic-833	238	44	/	/	SYM
hjic-833	238	45	s0304	s0304	NOUN
hjic-833	238	46	-	-	PUNCT
hjic-833	238	47	8853(99)00829	8853(99)00829	NUM
hjic-833	238	48	-	-	PUNCT
hjic-833	238	49	x	x	SYM
hjic-833	239	1	[	[	X
hjic-833	239	2	4	4	NUM
hjic-833	239	3	]	]	X
hjic-833	239	4	ivanov	ivanov	PROPN
hjic-833	239	5	,	,	PUNCT
hjic-833	239	6	a.	a.	NOUN
hjic-833	239	7	o.	o.	PROPN
hjic-833	239	8	;	;	PUNCT
hjic-833	239	9	kuznetsova	kuznetsova	PROPN
hjic-833	239	10	,	,	PUNCT
hjic-833	239	11	o.	o.	PROPN
hjic-833	239	12	b.	b.	PROPN
hjic-833	239	13	:	:	PUNCT
hjic-833	239	14	magnetic	magnetic	ADJ
hjic-833	239	15	properties	property	NOUN
hjic-833	239	16	of	of	ADP
hjic-833	239	17	dense	dense	ADJ
hjic-833	239	18	ferrofluids	ferrofluid	NOUN
hjic-833	239	19	:	:	PUNCT
hjic-833	239	20	an	an	DET
hjic-833	239	21	influence	influence	NOUN
hjic-833	239	22	of	of	ADP
hjic-833	239	23	interparticle	interparticle	NOUN
hjic-833	239	24	correlations	correlation	NOUN
hjic-833	239	25	,	,	PUNCT
hjic-833	239	26	phys	phy	NOUN
hjic-833	239	27	.	.	PUNCT
hjic-833	239	28	rev	rev	PROPN
hjic-833	239	29	.	.	PROPN
hjic-833	240	1	e	e	X
hjic-833	240	2	,	,	PUNCT
hjic-833	240	3	2001	2001	NUM
hjic-833	240	4	64(4	64(4	NOUN
hjic-833	240	5	)	)	PUNCT
hjic-833	240	6	,	,	PUNCT
hjic-833	240	7	041405	041405	NUM
hjic-833	240	8	doi	doi	NOUN
hjic-833	240	9	:	:	PUNCT
hjic-833	240	10	10.1103	10.1103	NUM
hjic-833	240	11	/	/	SYM
hjic-833	240	12	physreve.64.041405	physreve.64.041405	NOUN
hjic-833	241	1	[	[	X
hjic-833	241	2	5	5	NUM
hjic-833	241	3	]	]	X
hjic-833	241	4	tani	tani	PROPN
hjic-833	241	5	,	,	PUNCT
hjic-833	241	6	a.	a.	NOUN
hjic-833	241	7	;	;	PUNCT
hjic-833	241	8	henderson	henderson	PROPN
hjic-833	241	9	,	,	PUNCT
hjic-833	241	10	d.	d.	PROPN
hjic-833	241	11	;	;	PUNCT
hjic-833	241	12	barker	barker	PROPN
hjic-833	241	13	,	,	PUNCT
hjic-833	241	14	j.	j.	PROPN
hjic-833	241	15	a.	a.	PROPN
hjic-833	241	16	;	;	PUNCT
hjic-833	241	17	hecht	hecht	PROPN
hjic-833	241	18	,	,	PUNCT
hjic-833	241	19	c.	c.	PROPN
hjic-833	241	20	e.	e.	PROPN
hjic-833	241	21	:	:	PUNCT
hjic-833	241	22	application	application	NOUN
hjic-833	241	23	of	of	ADP
hjic-833	241	24	perturbation	perturbation	NOUN
hjic-833	241	25	theory	theory	NOUN
hjic-833	241	26	to	to	ADP
hjic-833	241	27	the	the	DET
hjic-833	241	28	calculation	calculation	NOUN
hjic-833	241	29	of	of	ADP
hjic-833	241	30	the	the	DET
hjic-833	241	31	dielectric	dielectric	ADJ
hjic-833	241	32	constant	constant	NOUN
hjic-833	241	33	of	of	ADP
hjic-833	241	34	a	a	DET
hjic-833	241	35	dipolar	dipolar	ADJ
hjic-833	241	36	hard	hard	ADJ
hjic-833	241	37	sphere	sphere	NOUN
hjic-833	241	38	fluid	fluid	NOUN
hjic-833	241	39	,	,	PUNCT
hjic-833	241	40	mol	mol	NOUN
hjic-833	241	41	.	.	PUNCT
hjic-833	241	42	phys	phy	NOUN
hjic-833	241	43	.	.	PUNCT
hjic-833	241	44	,	,	PUNCT
hjic-833	241	45	1983	1983	NUM
hjic-833	241	46	48(4	48(4	NUM
hjic-833	241	47	)	)	PUNCT
hjic-833	241	48	,	,	PUNCT
hjic-833	241	49	863–869	863–869	NUM
hjic-833	241	50	doi	doi	NOUN
hjic-833	241	51	:	:	PUNCT
hjic-833	241	52	10.1080/00268978300100621	10.1080/00268978300100621	NUM
hjic-833	241	53	[	[	X
hjic-833	241	54	6	6	NUM
hjic-833	241	55	]	]	X
hjic-833	241	56	szalai	szalai	PROPN
hjic-833	241	57	,	,	PUNCT
hjic-833	241	58	i.	i.	PROPN
hjic-833	241	59	;	;	PUNCT
hjic-833	241	60	nagy	nagy	PROPN
hjic-833	241	61	,	,	PUNCT
hjic-833	241	62	s.	s.	PROPN
hjic-833	241	63	;	;	PUNCT
hjic-833	241	64	dietrich	dietrich	PROPN
hjic-833	241	65	,	,	PUNCT
hjic-833	241	66	s.	s.	PROPN
hjic-833	241	67	:	:	PUNCT
hjic-833	241	68	linear	linear	ADJ
hjic-833	241	69	and	and	CCONJ
hjic-833	241	70	nonlinear	nonlinear	ADJ
hjic-833	241	71	magnetic	magnetic	ADJ
hjic-833	241	72	properties	property	NOUN
hjic-833	241	73	of	of	ADP
hjic-833	241	74	ferrofluids	ferrofluid	NOUN
hjic-833	241	75	,	,	PUNCT
hjic-833	241	76	phys	phy	NOUN
hjic-833	241	77	.	.	PUNCT
hjic-833	242	1	rev	rev	PROPN
hjic-833	242	2	.	.	PROPN
hjic-833	243	1	e	e	PROPN
hjic-833	243	2	,	,	PUNCT
hjic-833	243	3	2015	2015	NUM
hjic-833	243	4	92(4	92(4	NOUN
hjic-833	243	5	)	)	PUNCT
hjic-833	243	6	,	,	PUNCT
hjic-833	243	7	042314	042314	NUM
hjic-833	243	8	doi	doi	NOUN
hjic-833	243	9	:	:	PUNCT
hjic-833	243	10	10.1103	10.1103	NUM
hjic-833	243	11	/	/	SYM
hjic-833	243	12	physreve.92.042314	physreve.92.042314	NOUN
hjic-833	243	13	[	[	X
hjic-833	243	14	7	7	NUM
hjic-833	243	15	]	]	X
hjic-833	243	16	huke	huke	PROPN
hjic-833	243	17	,	,	PUNCT
hjic-833	243	18	b.	b.	PROPN
hjic-833	243	19	;	;	PUNCT
hjic-833	243	20	lücke	lücke	PROPN
hjic-833	243	21	,	,	PUNCT
hjic-833	243	22	m.	m.	NOUN
hjic-833	243	23	:	:	PUNCT
hjic-833	243	24	magnetization	magnetization	NOUN
hjic-833	243	25	of	of	ADP
hjic-833	243	26	ferrofluids	ferrofluid	NOUN
hjic-833	243	27	with	with	ADP
hjic-833	243	28	dipolar	dipolar	ADJ
hjic-833	243	29	interactions	interaction	NOUN
hjic-833	243	30	:	:	PUNCT
hjic-833	243	31	a	a	DET
hjic-833	243	32	born	bear	VERB
hjic-833	243	33	-	-	PUNCT
hjic-833	243	34	mayer	mayer	NOUN
hjic-833	243	35	expansion	expansion	NOUN
hjic-833	243	36	,	,	PUNCT
hjic-833	243	37	phys	phy	NOUN
hjic-833	243	38	.	.	PUNCT
hjic-833	244	1	rev	rev	PROPN
hjic-833	244	2	.	.	PROPN
hjic-833	245	1	e	e	NOUN
hjic-833	245	2	,	,	PUNCT
hjic-833	245	3	2000	2000	NUM
hjic-833	245	4	62(5	62(5	NOUN
hjic-833	245	5	)	)	PUNCT
hjic-833	245	6	,	,	PUNCT
hjic-833	245	7	6875–6890	6875–6890	NUM
hjic-833	245	8	doi	doi	NOUN
hjic-833	245	9	:	:	PUNCT
hjic-833	245	10	10.1103	10.1103	NUM
hjic-833	245	11	/	/	SYM
hjic-833	245	12	physreve.62.6875	physreve.62.6875	NOUN
hjic-833	245	13	[	[	X
hjic-833	245	14	8	8	NUM
hjic-833	245	15	]	]	X
hjic-833	245	16	wertheim	wertheim	PROPN
hjic-833	245	17	,	,	PUNCT
hjic-833	245	18	m.	m.	NOUN
hjic-833	245	19	s.	s.	PROPN
hjic-833	245	20	:	:	PUNCT
hjic-833	245	21	exact	exact	ADJ
hjic-833	245	22	solution	solution	NOUN
hjic-833	245	23	of	of	ADP
hjic-833	245	24	the	the	DET
hjic-833	245	25	mean	mean	ADJ
hjic-833	245	26	spherical	spherical	ADJ
hjic-833	245	27	model	model	NOUN
hjic-833	245	28	for	for	ADP
hjic-833	245	29	fluids	fluid	NOUN
hjic-833	245	30	of	of	ADP
hjic-833	245	31	hard	hard	ADJ
hjic-833	245	32	spheres	sphere	NOUN
hjic-833	245	33	with	with	ADP
hjic-833	245	34	permanent	permanent	ADJ
hjic-833	245	35	electric	electric	ADJ
hjic-833	245	36	dipole	dipole	NOUN
hjic-833	245	37	moments	moment	NOUN
hjic-833	245	38	,	,	PUNCT
hjic-833	245	39	j.	j.	PROPN
hjic-833	245	40	chem	chem	PROPN
hjic-833	245	41	.	.	PUNCT
hjic-833	246	1	phys	phy	NOUN
hjic-833	246	2	.	.	PUNCT
hjic-833	246	3	,	,	PUNCT
hjic-833	246	4	1971	1971	NUM
hjic-833	246	5	55(9	55(9	NUM
hjic-833	246	6	)	)	PUNCT
hjic-833	246	7	,	,	PUNCT
hjic-833	246	8	4291–4298	4291–4298	NUM
hjic-833	246	9	doi	doi	NOUN
hjic-833	246	10	:	:	PUNCT
hjic-833	246	11	10.1063/1.1676751	10.1063/1.1676751	NUM
hjic-833	246	12	[	[	X
hjic-833	246	13	9	9	NUM
hjic-833	246	14	]	]	SYM
hjic-833	246	15	hansen	hansen	PROPN
hjic-833	246	16	,	,	PUNCT
hjic-833	246	17	j.-p	j.-p	PROPN
hjic-833	246	18	.	.	PUNCT
hjic-833	246	19	;	;	PUNCT
hjic-833	246	20	mcdonald	mcdonald	PROPN
hjic-833	246	21	,	,	PUNCT
hjic-833	246	22	i.	i.	PROPN
hjic-833	246	23	r.	r.	PROPN
hjic-833	246	24	:	:	PUNCT
hjic-833	246	25	theory	theory	NOUN
hjic-833	246	26	of	of	ADP
hjic-833	246	27	simple	simple	ADJ
hjic-833	246	28	liquids	liquid	NOUN
hjic-833	246	29	(	(	PUNCT
hjic-833	246	30	elsevier	elsevier	NOUN
hjic-833	246	31	,	,	PUNCT
hjic-833	246	32	new	new	PROPN
hjic-833	246	33	york	york	PROPN
hjic-833	246	34	)	)	PUNCT
hjic-833	246	35	2005	2005	NUM
hjic-833	246	36	isbn	isbn	NOUN
hjic-833	246	37	:	:	PUNCT
hjic-833	246	38	9780123705358	9780123705358	NUM
hjic-833	246	39	[	[	SYM
hjic-833	246	40	10	10	NUM
hjic-833	246	41	]	]	X
hjic-833	246	42	szalai	szalai	PROPN
hjic-833	246	43	,	,	PUNCT
hjic-833	246	44	i.	i.	PROPN
hjic-833	246	45	;	;	PUNCT
hjic-833	246	46	dietrich	dietrich	PROPN
hjic-833	246	47	,	,	PUNCT
hjic-833	246	48	s.	s.	PROPN
hjic-833	246	49	:	:	PUNCT
hjic-833	246	50	magnetization	magnetization	NOUN
hjic-833	246	51	and	and	CCONJ
hjic-833	246	52	susceptibility	susceptibility	NOUN
hjic-833	246	53	of	of	ADP
hjic-833	246	54	ferrofluids	ferrofluid	NOUN
hjic-833	246	55	,	,	PUNCT
hjic-833	246	56	j.	j.	PROPN
hjic-833	246	57	phys	phys	PROPN
hjic-833	246	58	.	.	PUNCT
hjic-833	246	59	:	:	PUNCT
hjic-833	247	1	cond	cond	NOUN
hjic-833	247	2	.	.	PUNCT
hjic-833	248	1	matt	matt	PROPN
hjic-833	248	2	.	.	PROPN
hjic-833	248	3	,	,	PUNCT
hjic-833	248	4	2008	2008	NUM
hjic-833	248	5	20(20	20(20	NUM
hjic-833	248	6	)	)	PUNCT
hjic-833	249	1	,	,	PUNCT
hjic-833	249	2	204122	204122	NUM
hjic-833	249	3	doi	doi	NOUN
hjic-833	249	4	:	:	PUNCT
hjic-833	249	5	10.1088/0953	10.1088/0953	NUM
hjic-833	249	6	-	-	SYM
hjic-833	249	7	8984/20/20/204122	8984/20/20/204122	NUM
hjic-833	250	1	[	[	X
hjic-833	250	2	11	11	NUM
hjic-833	250	3	]	]	SYM
hjic-833	250	4	zubarev	zubarev	NOUN
hjic-833	250	5	,	,	PUNCT
hjic-833	250	6	a.	a.	PROPN
hjic-833	250	7	y.	y.	PROPN
hjic-833	250	8	;	;	PUNCT
hjic-833	250	9	iskakova	iskakova	PROPN
hjic-833	250	10	,	,	PUNCT
hjic-833	250	11	l.	l.	PROPN
hjic-833	250	12	y.	y.	PROPN
hjic-833	250	13	:	:	PUNCT
hjic-833	250	14	theory	theory	NOUN
hjic-833	250	15	of	of	ADP
hjic-833	250	16	physical	physical	ADJ
hjic-833	250	17	properties	property	NOUN
hjic-833	250	18	of	of	ADP
hjic-833	250	19	magnetic	magnetic	ADJ
hjic-833	250	20	liquids	liquid	NOUN
hjic-833	250	21	with	with	ADP
hjic-833	250	22	chain	chain	NOUN
hjic-833	250	23	aggregates	aggregate	NOUN
hjic-833	250	24	,	,	PUNCT
hjic-833	250	25	j.	j.	PROPN
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hjic-833	250	27	.	.	PUNCT
hjic-833	250	28	theor	theor	PROPN
hjic-833	250	29	.	.	PUNCT
hjic-833	251	1	phys	phy	NOUN
hjic-833	251	2	.	.	PUNCT
hjic-833	251	3	,	,	PUNCT
hjic-833	251	4	1995	1995	NUM
hjic-833	251	5	80(5	80(5	NUM
hjic-833	251	6	)	)	PUNCT
hjic-833	251	7	,	,	PUNCT
hjic-833	251	8	857–866	857–866	PROPN
hjic-833	252	1	[	[	X
hjic-833	252	2	12	12	NUM
hjic-833	252	3	]	]	PUNCT
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hjic-833	252	5	,	,	PUNCT
hjic-833	252	6	a.	a.	PROPN
hjic-833	252	7	y.	y.	PROPN
hjic-833	252	8	;	;	PUNCT
hjic-833	252	9	iskakova	iskakova	PROPN
hjic-833	252	10	,	,	PUNCT
hjic-833	252	11	l.	l.	PROPN
hjic-833	252	12	y.	y.	PROPN
hjic-833	252	13	:	:	PUNCT
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hjic-833	252	18	on	on	ADP
hjic-833	252	19	dynamical	dynamical	ADJ
hjic-833	252	20	properties	property	NOUN
hjic-833	252	21	of	of	ADP
hjic-833	252	22	magnetic	magnetic	ADJ
hjic-833	252	23	liquids	liquid	NOUN
hjic-833	252	24	,	,	PUNCT
hjic-833	252	25	phys	phy	NOUN
hjic-833	252	26	.	.	PUNCT
hjic-833	253	1	rev	rev	PROPN
hjic-833	253	2	.	.	PROPN
hjic-833	254	1	e	e	X
hjic-833	254	2	,	,	PUNCT
hjic-833	254	3	2000	2000	NUM
hjic-833	254	4	61(5	61(5	NUM
hjic-833	254	5	)	)	PUNCT
hjic-833	254	6	,	,	PUNCT
hjic-833	254	7	5415–5421	5415–5421	NUM
hjic-833	254	8	doi	doi	NOUN
hjic-833	254	9	:	:	PUNCT
hjic-833	254	10	10.1103	10.1103	NUM
hjic-833	254	11	/	/	SYM
hjic-833	254	12	physreve.61.5415	physreve.61.5415	NOUN
hjic-833	255	1	[	[	X
hjic-833	255	2	13	13	NUM
hjic-833	255	3	]	]	PUNCT
hjic-833	255	4	stauffer	stauffer	PROPN
hjic-833	255	5	,	,	PUNCT
hjic-833	255	6	d.	d.	PROPN
hjic-833	255	7	;	;	PUNCT
hjic-833	255	8	aharony	aharony	PROPN
hjic-833	255	9	,	,	PUNCT
hjic-833	255	10	a.	a.	NOUN
hjic-833	255	11	:	:	PUNCT
hjic-833	255	12	introduction	introduction	NOUN
hjic-833	255	13	to	to	ADP
hjic-833	255	14	percolation	percolation	NOUN
hjic-833	255	15	theory	theory	NOUN
hjic-833	255	16	(	(	PUNCT
hjic-833	255	17	crc	crc	NOUN
hjic-833	255	18	press	press	PROPN
hjic-833	255	19	,	,	PUNCT
hjic-833	255	20	london	london	PROPN
hjic-833	255	21	)	)	PUNCT
hjic-833	255	22	1994	1994	NUM
hjic-833	256	1	isbn	isbn	NOUN
hjic-833	256	2	:	:	PUNCT
hjic-833	256	3	9780748402533	9780748402533	NUM
hjic-833	257	1	[	[	X
hjic-833	257	2	14	14	NUM
hjic-833	257	3	]	]	X
hjic-833	257	4	del	del	X
hjic-833	257	5	gado	gado	PROPN
hjic-833	257	6	,	,	PUNCT
hjic-833	257	7	e.	e.	PROPN
hjic-833	257	8	;	;	PUNCT
hjic-833	257	9	kob	kob	PROPN
hjic-833	257	10	,	,	PUNCT
hjic-833	257	11	w.	w.	PROPN
hjic-833	257	12	:	:	PUNCT
hjic-833	257	13	a	a	DET
hjic-833	257	14	microscopic	microscopic	ADJ
hjic-833	257	15	model	model	NOUN
hjic-833	257	16	for	for	ADP
hjic-833	257	17	colloidal	colloidal	NOUN
hjic-833	257	18	gels	gel	NOUN
hjic-833	257	19	with	with	ADP
hjic-833	257	20	directional	directional	ADJ
hjic-833	257	21	effective	effective	ADJ
hjic-833	257	22	interactions	interaction	NOUN
hjic-833	257	23	:	:	PUNCT
hjic-833	257	24	network	network	NOUN
hjic-833	257	25	induced	induce	VERB
hjic-833	257	26	glassy	glassy	NOUN
hjic-833	257	27	dynamics	dynamic	NOUN
hjic-833	257	28	,	,	PUNCT
hjic-833	257	29	soft	soft	ADJ
hjic-833	257	30	matter	matter	NOUN
hjic-833	257	31	,	,	PUNCT
hjic-833	257	32	2010	2010	NUM
hjic-833	257	33	6(7	6(7	NUM
hjic-833	257	34	)	)	PUNCT
hjic-833	257	35	,	,	PUNCT
hjic-833	257	36	1547–1558	1547–1558	NUM
hjic-833	257	37	doi	doi	NOUN
hjic-833	257	38	:	:	PUNCT
hjic-833	257	39	10.1039	10.1039	NUM
hjic-833	257	40	/	/	SYM
hjic-833	257	41	b916813c	b916813c	NOUN
hjic-833	257	42	46(2	46(2	NOUN
hjic-833	257	43	)	)	PUNCT
hjic-833	257	44	pp	pp	ADV
hjic-833	257	45	.	.	PUNCT
hjic-833	258	1	47–54	47–54	NUM
hjic-833	258	2	(	(	PUNCT
hjic-833	258	3	2018	2018	NUM
hjic-833	258	4	)	)	PUNCT
hjic-833	258	5	https://doi.org/10.1051/jphystap:019050040067800	https://doi.org/10.1051/jphystap:019050040067800	PROPN
hjic-833	258	6	https://doi.org/10.1051/jphystap:019070060066100	https://doi.org/10.1051/jphystap:019070060066100	PROPN
hjic-833	258	7	https://doi.org/10.1051/jphystap:019070060066100	https://doi.org/10.1051/jphystap:019070060066100	PROPN
hjic-833	258	8	https://doi.org/10.1016/s0304-8853(99)00829-x	https://doi.org/10.1016/s0304-8853(99)00829-x	PROPN
hjic-833	258	9	https://doi.org/10.1016/s0304-8853(99)00829-x	https://doi.org/10.1016/s0304-8853(99)00829-x	PROPN
hjic-833	258	10	https://doi.org/10.1103/physreve.64.041405	https://doi.org/10.1103/physreve.64.041405	NOUN
hjic-833	258	11	https://doi.org/10.1080/00268978300100621	https://doi.org/10.1080/00268978300100621	PRON
hjic-833	258	12	https://doi.org/10.1080/00268978300100621	https://doi.org/10.1080/00268978300100621	NOUN
hjic-833	258	13	https://doi.org/10.1103/physreve.92.042314	https://doi.org/10.1103/physreve.92.042314	PROPN
hjic-833	258	14	https://doi.org/10.1103/physreve.62.6875	https://doi.org/10.1103/physreve.62.6875	PROPN
hjic-833	258	15	https://doi.org/10.1103/physreve.62.6875	https://doi.org/10.1103/physreve.62.6875	PROPN
hjic-833	258	16	https://doi.org/10.1063/1.1676751	https://doi.org/10.1063/1.1676751	PROPN
hjic-833	258	17	https://doi.org/10.1088/0953-8984/20/20/204122	https://doi.org/10.1088/0953-8984/20/20/204122	PROPN
hjic-833	258	18	https://doi.org/10.1103/physreve.61.5415	https://doi.org/10.1103/physreve.61.5415	PROPN
hjic-833	258	19	https://doi.org/10.1103/physreve.61.5415	https://doi.org/10.1103/physreve.61.5415	NOUN
hjic-833	258	20	https://doi.org/10.1039/b916813c	https://doi.org/10.1039/b916813c	NOUN
hjic-833	258	21	54	54	NUM
hjic-833	258	22	nagy	nagy	NOUN
hjic-833	258	23	[	[	X
hjic-833	258	24	15	15	NUM
hjic-833	258	25	]	]	SYM
hjic-833	258	26	weiss	weiss	PROPN
hjic-833	258	27	,	,	PUNCT
hjic-833	258	28	j.	j.	PROPN
hjic-833	258	29	j.	j.	PROPN
hjic-833	258	30	;	;	PUNCT
hjic-833	258	31	levesque	levesque	PROPN
hjic-833	258	32	,	,	PUNCT
hjic-833	258	33	d.	d.	PROPN
hjic-833	258	34	:	:	PUNCT
hjic-833	258	35	chain	chain	NOUN
hjic-833	258	36	formation	formation	NOUN
hjic-833	258	37	in	in	ADP
hjic-833	258	38	low	low	ADJ
hjic-833	258	39	density	density	NOUN
hjic-833	258	40	dipolar	dipolar	ADJ
hjic-833	258	41	hard	hard	ADJ
hjic-833	258	42	spheres	sphere	NOUN
hjic-833	258	43	:	:	PUNCT
hjic-833	258	44	a	a	DET
hjic-833	258	45	monte	monte	PROPN
hjic-833	258	46	carlo	carlo	PROPN
hjic-833	258	47	study	study	PROPN
hjic-833	258	48	,	,	PUNCT
hjic-833	258	49	phys	phy	NOUN
hjic-833	258	50	.	.	PUNCT
hjic-833	259	1	rev	rev	PROPN
hjic-833	259	2	.	.	PROPN
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hjic-833	259	4	.	.	PROPN
hjic-833	259	5	,	,	PUNCT
hjic-833	259	6	1993	1993	NUM
hjic-833	259	7	71(17	71(17	NOUN
hjic-833	259	8	)	)	PUNCT
hjic-833	259	9	,	,	PUNCT
hjic-833	259	10	2729–2732	2729–2732	NUM
hjic-833	259	11	doi	doi	NOUN
hjic-833	259	12	:	:	PUNCT
hjic-833	259	13	10.1103	10.1103	NUM
hjic-833	259	14	/	/	SYM
hjic-833	259	15	physrevlett.71.2729	physrevlett.71.2729	NOUN
hjic-833	260	1	[	[	X
hjic-833	260	2	16	16	NUM
hjic-833	260	3	]	]	X
hjic-833	260	4	levesque	levesque	PROPN
hjic-833	260	5	,	,	PUNCT
hjic-833	260	6	d.	d.	PROPN
hjic-833	260	7	;	;	PUNCT
hjic-833	260	8	weis	weis	PROPN
hjic-833	260	9	,	,	PUNCT
hjic-833	260	10	j.	j.	PROPN
hjic-833	260	11	j.	j.	PROPN
hjic-833	260	12	:	:	PUNCT
hjic-833	261	1	orientational	orientational	ADJ
hjic-833	261	2	and	and	CCONJ
hjic-833	261	3	structural	structural	ADJ
hjic-833	261	4	order	order	NOUN
hjic-833	261	5	in	in	ADP
hjic-833	261	6	strongly	strongly	ADV
hjic-833	261	7	interacting	interact	VERB
hjic-833	261	8	dipolar	dipolar	ADJ
hjic-833	261	9	hard	hard	ADJ
hjic-833	261	10	spheres	sphere	NOUN
hjic-833	261	11	,	,	PUNCT
hjic-833	261	12	phys	phy	NOUN
hjic-833	261	13	.	.	PUNCT
hjic-833	262	1	rev	rev	PROPN
hjic-833	262	2	.	.	PROPN
hjic-833	263	1	e	e	PROPN
hjic-833	263	2	,	,	PUNCT
hjic-833	263	3	1994	1994	NUM
hjic-833	263	4	49(6	49(6	NUM
hjic-833	263	5	)	)	PUNCT
hjic-833	263	6	,	,	PUNCT
hjic-833	263	7	5131–5140	5131–5140	NUM
hjic-833	263	8	doi	doi	NOUN
hjic-833	263	9	:	:	PUNCT
hjic-833	263	10	10.1103	10.1103	NUM
hjic-833	263	11	/	/	SYM
hjic-833	264	1	physreve.49.5131	physreve.49.5131	NOUN
hjic-833	265	1	[	[	X
hjic-833	265	2	17	17	NUM
hjic-833	265	3	]	]	PUNCT
hjic-833	265	4	stevens	stevens	PROPN
hjic-833	265	5	,	,	PUNCT
hjic-833	265	6	m.	m.	NOUN
hjic-833	265	7	j.	j.	PROPN
hjic-833	265	8	;	;	PUNCT
hjic-833	265	9	grest	grest	PROPN
hjic-833	265	10	,	,	PUNCT
hjic-833	265	11	g.	g.	PROPN
hjic-833	265	12	s.	s.	PROPN
hjic-833	265	13	:	:	PUNCT
hjic-833	265	14	structure	structure	NOUN
hjic-833	265	15	of	of	ADP
hjic-833	265	16	soft	soft	ADJ
hjic-833	265	17	-	-	PUNCT
hjic-833	265	18	sphere	sphere	NOUN
hjic-833	265	19	dipolar	dipolar	ADJ
hjic-833	265	20	fluids	fluid	NOUN
hjic-833	265	21	,	,	PUNCT
hjic-833	265	22	phys	phy	NOUN
hjic-833	265	23	.	.	PUNCT
hjic-833	266	1	rev	rev	PROPN
hjic-833	266	2	.	.	PROPN
hjic-833	267	1	e	e	X
hjic-833	267	2	,	,	PUNCT
hjic-833	267	3	1995	1995	NUM
hjic-833	267	4	51(6	51(6	NOUN
hjic-833	267	5	)	)	PUNCT
hjic-833	267	6	,	,	PUNCT
hjic-833	267	7	5962–5975	5962–5975	NUM
hjic-833	267	8	doi	doi	NOUN
hjic-833	267	9	:	:	PUNCT
hjic-833	267	10	10.1103	10.1103	NUM
hjic-833	267	11	/	/	SYM
hjic-833	267	12	physreve.51.5962	physreve.51.5962	NOUN
hjic-833	268	1	[	[	X
hjic-833	268	2	18	18	NUM
hjic-833	268	3	]	]	X
hjic-833	268	4	allen	allen	PROPN
hjic-833	268	5	,	,	PUNCT
hjic-833	268	6	m.	m.	NOUN
hjic-833	268	7	p.	p.	NOUN
hjic-833	268	8	;	;	PUNCT
hjic-833	268	9	tildesley	tildesley	PROPN
hjic-833	268	10	d.	d.	PROPN
hjic-833	268	11	j.	j.	PROPN
hjic-833	268	12	:	:	PUNCT
hjic-833	268	13	computer	computer	NOUN
hjic-833	268	14	simulation	simulation	NOUN
hjic-833	268	15	of	of	ADP
hjic-833	268	16	liquids	liquid	NOUN
hjic-833	268	17	(	(	PUNCT
hjic-833	268	18	clarendon	clarendon	PROPN
hjic-833	268	19	press	press	NOUN
hjic-833	268	20	,	,	PUNCT
hjic-833	268	21	oxford	oxford	PROPN
hjic-833	268	22	)	)	PUNCT
hjic-833	268	23	1987	1987	NUM
hjic-833	268	24	isbn	isbn	NOUN
hjic-833	268	25	:	:	PUNCT
hjic-833	268	26	978	978	NUM
hjic-833	268	27	-	-	SYM
hjic-833	268	28	0198556459	0198556459	NUM
hjic-833	268	29	hungarian	hungarian	ADJ
hjic-833	268	30	journal	journal	NOUN
hjic-833	268	31	of	of	ADP
hjic-833	268	32	industry	industry	NOUN
hjic-833	268	33	and	and	CCONJ
hjic-833	268	34	chemistry	chemistry	NOUN
hjic-833	268	35	https://doi.org/10.1103/physrevlett.71.2729	https://doi.org/10.1103/physrevlett.71.2729	PROPN
hjic-833	268	36	https://doi.org/10.1103/physreve.49.5131	https://doi.org/10.1103/physreve.49.5131	PROPN
hjic-833	268	37	https://doi.org/10.1103/physreve.49.5131	https://doi.org/10.1103/physreve.49.5131	PROPN
hjic-833	268	38	https://doi.org/10.1103/physreve.51.5962	https://doi.org/10.1103/physreve.51.5962	PROPN
hjic-833	268	39	introduction	introduction	NOUN
hjic-833	268	40	theory	theory	NOUN
hjic-833	268	41	the	the	DET
hjic-833	268	42	appearance	appearance	NOUN
hjic-833	268	43	of	of	ADP
hjic-833	268	44	probability	probability	NOUN
hjic-833	268	45	analysis	analysis	NOUN
hjic-833	268	46	in	in	ADP
hjic-833	268	47	the	the	DET
hjic-833	268	48	initial	initial	ADJ
hjic-833	268	49	magnetic	magnetic	ADJ
hjic-833	268	50	susceptibility	susceptibility	NOUN
hjic-833	268	51	the	the	DET
hjic-833	268	52	numerical	numerical	ADJ
hjic-833	268	53	calculation	calculation	NOUN
hjic-833	268	54	of	of	ADP
hjic-833	268	55	the	the	DET
hjic-833	268	56	probability	probability	NOUN
hjic-833	268	57	of	of	ADP
hjic-833	268	58	chain	chain	NOUN
hjic-833	268	59	formation	formation	NOUN
hjic-833	268	60	`	`	PUNCT
hjic-833	268	61	`	`	PUNCT
hjic-833	268	62	p	p	X
hjic-833	268	63	''	''	PUNCT
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hjic-833	268	65	results	result	NOUN
hjic-833	268	66	and	and	CCONJ
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hjic-833	268	68	conclusion	conclusion	NOUN
hjic-833	268	69	appendix	appendix	NOUN
hjic-833	268	70	appendix	appendix	VERB
hjic-833	268	71	a	a	DET
hjic-833	268	72	appendix	appendix	NOUN
hjic-833	268	73	b	b	NOUN