id	sid	tid	token	lemma	pos
ap-3818	1	1	acta	acta	PROPN
ap-3818	1	2	polytechnica	polytechnica	PROPN
ap-3818	1	3	doi:10.14311	doi:10.14311	PROPN
ap-3818	1	4	/	/	SYM
ap-3818	1	5	ap.2017.57.0032	ap.2017.57.0032	PROPN
ap-3818	1	6	acta	acta	PROPN
ap-3818	1	7	polytechnica	polytechnica	PROPN
ap-3818	1	8	57(1):32–37	57(1):32–37	NUM
ap-3818	1	9	,	,	PUNCT
ap-3818	1	10	2017	2017	NUM
ap-3818	1	11	©	©	PROPN
ap-3818	1	12	czech	czech	PROPN
ap-3818	1	13	technical	technical	PROPN
ap-3818	1	14	university	university	PROPN
ap-3818	1	15	in	in	ADP
ap-3818	1	16	prague	prague	PROPN
ap-3818	1	17	,	,	PUNCT
ap-3818	1	18	2017	2017	NUM
ap-3818	1	19	available	available	ADJ
ap-3818	1	20	online	online	ADV
ap-3818	1	21	at	at	ADP
ap-3818	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	VERB
ap-3818	1	23	tearing	tear	VERB
ap-3818	1	24	modes	mode	NOUN
ap-3818	1	25	growth	growth	NOUN
ap-3818	1	26	rate	rate	NOUN
ap-3818	1	27	amplification	amplification	NOUN
ap-3818	1	28	due	due	ADP
ap-3818	1	29	to	to	PART
ap-3818	1	30	finite	finite	VERB
ap-3818	1	31	current	current	ADJ
ap-3818	1	32	relaxation	relaxation	NOUN
ap-3818	1	33	f.	f.	PROPN
ap-3818	1	34	e.	e.	PROPN
ap-3818	1	35	m.	m.	PROPN
ap-3818	1	36	silveira	silveira	PROPN
ap-3818	1	37	centro	centro	PROPN
ap-3818	1	38	de	de	PROPN
ap-3818	1	39	ciências	ciências	PROPN
ap-3818	1	40	naturais	naturais	PROPN
ap-3818	1	41	e	e	PROPN
ap-3818	1	42	humanas	humanas	PROPN
ap-3818	1	43	,	,	PUNCT
ap-3818	1	44	universidade	universidade	PROPN
ap-3818	1	45	federal	federal	PROPN
ap-3818	1	46	do	do	AUX
ap-3818	1	47	abc	abc	PROPN
ap-3818	1	48	,	,	PUNCT
ap-3818	1	49	rua	rua	PROPN
ap-3818	1	50	santa	santa	PROPN
ap-3818	1	51	adélia	adélia	PROPN
ap-3818	1	52	,	,	PUNCT
ap-3818	1	53	166	166	NUM
ap-3818	1	54	,	,	PUNCT
ap-3818	1	55	bairro	bairro	PROPN
ap-3818	1	56	bangu	bangu	ADJ
ap-3818	1	57	,	,	PUNCT
ap-3818	1	58	cep	cep	NOUN
ap-3818	1	59	09210	09210	NUM
ap-3818	1	60	-	-	SYM
ap-3818	1	61	170	170	NUM
ap-3818	1	62	,	,	PUNCT
ap-3818	1	63	santo	santo	PROPN
ap-3818	1	64	andré	andré	PROPN
ap-3818	1	65	,	,	PUNCT
ap-3818	1	66	sp	sp	PROPN
ap-3818	1	67	,	,	PUNCT
ap-3818	1	68	brazil	brazil	PROPN
ap-3818	1	69	correspondence	correspondence	NOUN
ap-3818	1	70	:	:	PUNCT
ap-3818	1	71	francisco.silveira@ufabc.edu.br	francisco.silveira@ufabc.edu.br	NOUN
ap-3818	1	72	abstract	abstract	NOUN
ap-3818	1	73	.	.	PUNCT
ap-3818	2	1	in	in	ADP
ap-3818	2	2	this	this	DET
ap-3818	2	3	work	work	NOUN
ap-3818	2	4	,	,	PUNCT
ap-3818	2	5	we	we	PRON
ap-3818	2	6	explore	explore	VERB
ap-3818	2	7	the	the	DET
ap-3818	2	8	influence	influence	NOUN
ap-3818	2	9	of	of	ADP
ap-3818	2	10	perturbative	perturbative	ADJ
ap-3818	2	11	wavelengths	wavelength	NOUN
ap-3818	2	12	,	,	PUNCT
ap-3818	2	13	shorter	short	ADJ
ap-3818	2	14	than	than	ADP
ap-3818	2	15	those	those	PRON
ap-3818	2	16	usually	usually	ADV
ap-3818	2	17	considered	consider	VERB
ap-3818	2	18	,	,	PUNCT
ap-3818	2	19	on	on	ADP
ap-3818	2	20	the	the	DET
ap-3818	2	21	growth	growth	NOUN
ap-3818	2	22	rate	rate	NOUN
ap-3818	2	23	γ	γ	NOUN
ap-3818	2	24	of	of	ADP
ap-3818	2	25	the	the	DET
ap-3818	2	26	tearing	tear	VERB
ap-3818	2	27	modes	mode	NOUN
ap-3818	2	28	.	.	PUNCT
ap-3818	3	1	thus	thus	ADV
ap-3818	3	2	,	,	PUNCT
ap-3818	3	3	we	we	PRON
ap-3818	3	4	adopt	adopt	VERB
ap-3818	3	5	an	an	DET
ap-3818	3	6	extended	extended	ADJ
ap-3818	3	7	form	form	NOUN
ap-3818	3	8	of	of	ADP
ap-3818	3	9	ohm	ohm	NOUN
ap-3818	3	10	’s	’s	PART
ap-3818	3	11	law	law	NOUN
ap-3818	3	12	,	,	PUNCT
ap-3818	3	13	which	which	PRON
ap-3818	3	14	includes	include	VERB
ap-3818	3	15	a	a	DET
ap-3818	3	16	finite	finite	ADJ
ap-3818	3	17	relaxation	relaxation	NOUN
ap-3818	3	18	time	time	NOUN
ap-3818	3	19	for	for	ADP
ap-3818	3	20	the	the	DET
ap-3818	3	21	current	current	ADJ
ap-3818	3	22	density	density	NOUN
ap-3818	3	23	,	,	PUNCT
ap-3818	3	24	due	due	ADP
ap-3818	3	25	to	to	ADP
ap-3818	3	26	inertial	inertial	ADJ
ap-3818	3	27	effects	effect	NOUN
ap-3818	3	28	of	of	ADP
ap-3818	3	29	charged	charge	VERB
ap-3818	3	30	species	specie	NOUN
ap-3818	3	31	.	.	PUNCT
ap-3818	4	1	in	in	ADP
ap-3818	4	2	the	the	DET
ap-3818	4	3	long	long	ADJ
ap-3818	4	4	wavelength	wavelength	NOUN
ap-3818	4	5	limit	limit	NOUN
ap-3818	4	6	,	,	PUNCT
ap-3818	4	7	we	we	PRON
ap-3818	4	8	observe	observe	VERB
ap-3818	4	9	the	the	DET
ap-3818	4	10	standard	standard	ADJ
ap-3818	4	11	γ	γ	NOUN
ap-3818	4	12	of	of	ADP
ap-3818	4	13	the	the	DET
ap-3818	4	14	tearing	tear	VERB
ap-3818	4	15	modes	mode	NOUN
ap-3818	4	16	.	.	PUNCT
ap-3818	5	1	however	however	ADV
ap-3818	5	2	,	,	PUNCT
ap-3818	5	3	in	in	ADP
ap-3818	5	4	the	the	DET
ap-3818	5	5	short	short	ADJ
ap-3818	5	6	wavelength	wavelength	NOUN
ap-3818	5	7	limit	limit	NOUN
ap-3818	5	8	,	,	PUNCT
ap-3818	5	9	we	we	PRON
ap-3818	5	10	show	show	VERB
ap-3818	5	11	that	that	SCONJ
ap-3818	5	12	γ	γ	PROPN
ap-3818	5	13	does	do	AUX
ap-3818	5	14	not	not	PART
ap-3818	5	15	depend	depend	VERB
ap-3818	5	16	on	on	ADP
ap-3818	5	17	the	the	DET
ap-3818	5	18	fluid	fluid	ADJ
ap-3818	5	19	resistivity	resistivity	NOUN
ap-3818	5	20	any	any	ADV
ap-3818	5	21	longer	long	ADV
ap-3818	5	22	.	.	PUNCT
ap-3818	6	1	actually	actually	ADV
ap-3818	6	2	,	,	PUNCT
ap-3818	6	3	we	we	PRON
ap-3818	6	4	find	find	VERB
ap-3818	6	5	out	out	ADP
ap-3818	6	6	that	that	SCONJ
ap-3818	6	7	γ	γ	PROPN
ap-3818	6	8	now	now	ADV
ap-3818	6	9	scales	scale	VERB
ap-3818	6	10	with	with	ADP
ap-3818	6	11	the	the	DET
ap-3818	6	12	electron	electron	NOUN
ap-3818	6	13	number	number	NOUN
ap-3818	6	14	density	density	NOUN
ap-3818	6	15	ne	ne	PROPN
ap-3818	6	16	as	as	ADP
ap-3818	6	17	γ	γ	X
ap-3818	6	18	∼	∼	X
ap-3818	6	19	n−3/2	n−3/2	PROPN
ap-3818	6	20	e	e	PROPN
ap-3818	6	21	.	.	PUNCT
ap-3818	7	1	therefore	therefore	ADV
ap-3818	7	2	,	,	PUNCT
ap-3818	7	3	through	through	ADP
ap-3818	7	4	a	a	DET
ap-3818	7	5	suitable	suitable	ADJ
ap-3818	7	6	combination	combination	NOUN
ap-3818	7	7	of	of	ADP
ap-3818	7	8	both	both	PRON
ap-3818	7	9	limiting	limit	VERB
ap-3818	7	10	results	result	NOUN
ap-3818	7	11	,	,	PUNCT
ap-3818	7	12	we	we	PRON
ap-3818	7	13	show	show	VERB
ap-3818	7	14	that	that	SCONJ
ap-3818	7	15	the	the	DET
ap-3818	7	16	standard	standard	ADJ
ap-3818	7	17	γ	γ	NOUN
ap-3818	7	18	can	can	AUX
ap-3818	7	19	be	be	AUX
ap-3818	7	20	substantially	substantially	ADV
ap-3818	7	21	amplificated	amplificate	VERB
ap-3818	7	22	,	,	PUNCT
ap-3818	7	23	even	even	ADV
ap-3818	7	24	by	by	ADP
ap-3818	7	25	moderate	moderate	ADJ
ap-3818	7	26	shortenings	shortening	NOUN
ap-3818	7	27	of	of	ADP
ap-3818	7	28	perturbative	perturbative	ADJ
ap-3818	7	29	wavelengths	wavelength	NOUN
ap-3818	7	30	.	.	PUNCT
ap-3818	8	1	further	further	ADJ
ap-3818	8	2	developments	development	NOUN
ap-3818	8	3	of	of	ADP
ap-3818	8	4	our	our	PRON
ap-3818	8	5	theory	theory	NOUN
ap-3818	8	6	may	may	AUX
ap-3818	8	7	contribute	contribute	VERB
ap-3818	8	8	to	to	ADP
ap-3818	8	9	the	the	DET
ap-3818	8	10	explanation	explanation	NOUN
ap-3818	8	11	of	of	ADP
ap-3818	8	12	the	the	DET
ap-3818	8	13	fast	fast	ADJ
ap-3818	8	14	magnetic	magnetic	ADJ
ap-3818	8	15	reconnection	reconnection	NOUN
ap-3818	8	16	of	of	ADP
ap-3818	8	17	field	field	NOUN
ap-3818	8	18	lines	line	NOUN
ap-3818	8	19	,	,	PUNCT
ap-3818	8	20	as	as	SCONJ
ap-3818	8	21	observed	observe	VERB
ap-3818	8	22	in	in	ADP
ap-3818	8	23	astrophysical	astrophysical	ADJ
ap-3818	8	24	plasmas	plasma	NOUN
ap-3818	8	25	.	.	PUNCT
ap-3818	9	1	keywords	keyword	NOUN
ap-3818	9	2	:	:	PUNCT
ap-3818	9	3	tearing	tear	VERB
ap-3818	9	4	modes	mode	NOUN
ap-3818	9	5	;	;	PUNCT
ap-3818	9	6	current	current	ADJ
ap-3818	9	7	relaxation	relaxation	NOUN
ap-3818	9	8	;	;	PUNCT
ap-3818	9	9	magnetic	magnetic	ADJ
ap-3818	9	10	islands	island	NOUN
ap-3818	9	11	;	;	PUNCT
ap-3818	9	12	magnetic	magnetic	ADJ
ap-3818	9	13	reconnection	reconnection	NOUN
ap-3818	9	14	.	.	PUNCT
ap-3818	10	1	1	1	X
ap-3818	10	2	.	.	X
ap-3818	10	3	introduction	introduction	NOUN
ap-3818	10	4	the	the	DET
ap-3818	10	5	most	most	ADV
ap-3818	10	6	violent	violent	ADJ
ap-3818	10	7	instabilities	instability	NOUN
ap-3818	10	8	in	in	ADP
ap-3818	10	9	magnetically	magnetically	ADV
ap-3818	10	10	confined	confine	VERB
ap-3818	10	11	plasmas	plasma	NOUN
ap-3818	10	12	are	be	AUX
ap-3818	10	13	the	the	DET
ap-3818	10	14	so	so	ADV
ap-3818	10	15	-	-	PUNCT
ap-3818	10	16	called	call	VERB
ap-3818	10	17	ideal	ideal	ADJ
ap-3818	10	18	hydromagnetic	hydromagnetic	ADJ
ap-3818	10	19	instabilities	instability	NOUN
ap-3818	10	20	,	,	PUNCT
ap-3818	10	21	which	which	PRON
ap-3818	10	22	are	be	AUX
ap-3818	10	23	driven	drive	VERB
ap-3818	10	24	by	by	ADP
ap-3818	10	25	current	current	ADJ
ap-3818	10	26	and	and	CCONJ
ap-3818	10	27	pressure	pressure	NOUN
ap-3818	10	28	gradients	gradient	NOUN
ap-3818	10	29	[	[	X
ap-3818	10	30	1–3	1–3	NOUN
ap-3818	10	31	]	]	X
ap-3818	10	32	.	.	PUNCT
ap-3818	11	1	as	as	ADP
ap-3818	11	2	a	a	DET
ap-3818	11	3	matter	matter	NOUN
ap-3818	11	4	of	of	ADP
ap-3818	11	5	fact	fact	NOUN
ap-3818	11	6	,	,	PUNCT
ap-3818	11	7	the	the	DET
ap-3818	11	8	condition	condition	NOUN
ap-3818	11	9	of	of	ADP
ap-3818	11	10	a	a	DET
ap-3818	11	11	vanishingly	vanishingly	ADV
ap-3818	11	12	small	small	ADJ
ap-3818	11	13	resistivity	resistivity	NOUN
ap-3818	11	14	imposes	impose	VERB
ap-3818	11	15	a	a	DET
ap-3818	11	16	constraint	constraint	NOUN
ap-3818	11	17	on	on	ADP
ap-3818	11	18	the	the	DET
ap-3818	11	19	allowed	allow	VERB
ap-3818	11	20	perturbed	perturb	VERB
ap-3818	11	21	motions	motion	NOUN
ap-3818	11	22	in	in	ADP
ap-3818	11	23	the	the	DET
ap-3818	11	24	fluid	fluid	NOUN
ap-3818	11	25	.	.	PUNCT
ap-3818	12	1	actually	actually	ADV
ap-3818	12	2	,	,	PUNCT
ap-3818	12	3	the	the	DET
ap-3818	12	4	electric	electric	ADJ
ap-3818	12	5	field	field	NOUN
ap-3818	12	6	in	in	ADP
ap-3818	12	7	a	a	DET
ap-3818	12	8	frame	frame	NOUN
ap-3818	12	9	moving	move	VERB
ap-3818	12	10	with	with	ADP
ap-3818	12	11	an	an	DET
ap-3818	12	12	ideal	ideal	ADJ
ap-3818	12	13	plasma	plasma	NOUN
ap-3818	12	14	has	have	VERB
ap-3818	12	15	to	to	PART
ap-3818	12	16	vanish	vanish	VERB
ap-3818	12	17	.	.	PUNCT
ap-3818	13	1	thus	thus	ADV
ap-3818	13	2	,	,	PUNCT
ap-3818	13	3	the	the	DET
ap-3818	13	4	magnetic	magnetic	ADJ
ap-3818	13	5	flux	flux	NOUN
ap-3818	13	6	through	through	ADP
ap-3818	13	7	any	any	DET
ap-3818	13	8	surface	surface	NOUN
ap-3818	13	9	moving	move	VERB
ap-3818	13	10	with	with	ADP
ap-3818	13	11	that	that	DET
ap-3818	13	12	fluid	fluid	NOUN
ap-3818	13	13	has	have	VERB
ap-3818	13	14	to	to	PART
ap-3818	13	15	remain	remain	VERB
ap-3818	13	16	constant	constant	ADJ
ap-3818	13	17	.	.	PUNCT
ap-3818	14	1	therefore	therefore	ADV
ap-3818	14	2	,	,	PUNCT
ap-3818	14	3	the	the	DET
ap-3818	14	4	perturbed	perturb	VERB
ap-3818	14	5	magnetic	magnetic	ADJ
ap-3818	14	6	field	field	NOUN
ap-3818	14	7	lines	line	NOUN
ap-3818	14	8	can	can	AUX
ap-3818	14	9	not	not	PART
ap-3818	14	10	slip	slip	VERB
ap-3818	14	11	with	with	ADP
ap-3818	14	12	respect	respect	NOUN
ap-3818	14	13	to	to	ADP
ap-3818	14	14	the	the	DET
ap-3818	14	15	perturbed	perturb	VERB
ap-3818	14	16	flow	flow	NOUN
ap-3818	14	17	lines	line	NOUN
ap-3818	14	18	in	in	ADP
ap-3818	14	19	an	an	DET
ap-3818	14	20	ideal	ideal	ADJ
ap-3818	14	21	plasma	plasma	NOUN
ap-3818	14	22	.	.	PUNCT
ap-3818	15	1	according	accord	VERB
ap-3818	15	2	to	to	ADP
ap-3818	15	3	faraday	faraday	PROPN
ap-3818	15	4	’s	’s	PART
ap-3818	15	5	law	law	NOUN
ap-3818	15	6	,	,	PUNCT
ap-3818	15	7	the	the	DET
ap-3818	15	8	magnetic	magnetic	ADJ
ap-3818	15	9	field	field	NOUN
ap-3818	15	10	remains	remain	VERB
ap-3818	15	11	frozen	frozen	ADJ
ap-3818	15	12	inside	inside	ADP
ap-3818	15	13	the	the	DET
ap-3818	15	14	ideal	ideal	ADJ
ap-3818	15	15	fluid	fluid	NOUN
ap-3818	15	16	or	or	CCONJ
ap-3818	15	17	obeys	obey	VERB
ap-3818	15	18	the	the	DET
ap-3818	15	19	frozen	freeze	VERB
ap-3818	15	20	-	-	PUNCT
ap-3818	15	21	in	in	ADP
ap-3818	15	22	law	law	NOUN
ap-3818	15	23	.	.	PUNCT
ap-3818	16	1	the	the	DET
ap-3818	16	2	frozen	freeze	VERB
ap-3818	16	3	-	-	PUNCT
ap-3818	16	4	in	in	ADP
ap-3818	16	5	law	law	NOUN
ap-3818	16	6	and	and	CCONJ
ap-3818	16	7	ideal	ideal	ADJ
ap-3818	16	8	instabilities	instability	NOUN
ap-3818	16	9	are	be	AUX
ap-3818	16	10	wellknown	wellknown	ADJ
ap-3818	16	11	subjects	subject	NOUN
ap-3818	16	12	in	in	ADP
ap-3818	16	13	plasma	plasma	NOUN
ap-3818	16	14	physics	physic	NOUN
ap-3818	16	15	.	.	PUNCT
ap-3818	17	1	they	they	PRON
ap-3818	17	2	are	be	AUX
ap-3818	17	3	discussed	discuss	VERB
ap-3818	17	4	in	in	ADP
ap-3818	17	5	many	many	ADJ
ap-3818	17	6	textbooks	textbook	NOUN
ap-3818	17	7	,	,	PUNCT
ap-3818	17	8	from	from	ADP
ap-3818	17	9	the	the	DET
ap-3818	17	10	introductory	introductory	NOUN
ap-3818	17	11	to	to	ADP
ap-3818	17	12	the	the	DET
ap-3818	17	13	advanced	advanced	ADJ
ap-3818	17	14	levels	level	NOUN
ap-3818	17	15	[	[	X
ap-3818	17	16	4–8	4–8	X
ap-3818	17	17	]	]	X
ap-3818	17	18	.	.	PUNCT
ap-3818	18	1	the	the	DET
ap-3818	18	2	ideal	ideal	ADJ
ap-3818	18	3	instabilities	instability	NOUN
ap-3818	18	4	are	be	AUX
ap-3818	18	5	not	not	PART
ap-3818	18	6	only	only	ADV
ap-3818	18	7	violent	violent	ADJ
ap-3818	18	8	in	in	ADP
ap-3818	18	9	the	the	DET
ap-3818	18	10	sense	sense	NOUN
ap-3818	18	11	that	that	SCONJ
ap-3818	18	12	they	they	PRON
ap-3818	18	13	can	can	AUX
ap-3818	18	14	destroy	destroy	VERB
ap-3818	18	15	a	a	DET
ap-3818	18	16	given	give	VERB
ap-3818	18	17	equilibrium	equilibrium	NOUN
ap-3818	18	18	configuration	configuration	NOUN
ap-3818	18	19	,	,	PUNCT
ap-3818	18	20	which	which	PRON
ap-3818	18	21	,	,	PUNCT
ap-3818	18	22	in	in	ADP
ap-3818	18	23	this	this	DET
ap-3818	18	24	case	case	NOUN
ap-3818	18	25	,	,	PUNCT
ap-3818	18	26	is	be	AUX
ap-3818	18	27	determined	determine	VERB
ap-3818	18	28	by	by	ADP
ap-3818	18	29	the	the	DET
ap-3818	18	30	balance	balance	NOUN
ap-3818	18	31	of	of	ADP
ap-3818	18	32	the	the	DET
ap-3818	18	33	pressure	pressure	NOUN
ap-3818	18	34	gradient	gradient	NOUN
ap-3818	18	35	with	with	ADP
ap-3818	18	36	the	the	DET
ap-3818	18	37	lorentz	lorentz	PROPN
ap-3818	18	38	force	force	NOUN
ap-3818	18	39	.	.	PUNCT
ap-3818	19	1	their	their	PRON
ap-3818	19	2	growth	growth	NOUN
ap-3818	19	3	rate	rate	NOUN
ap-3818	19	4	in	in	ADP
ap-3818	19	5	time	time	NOUN
ap-3818	19	6	can	can	AUX
ap-3818	19	7	typically	typically	ADV
ap-3818	19	8	achieve	achieve	VERB
ap-3818	19	9	very	very	ADV
ap-3818	19	10	large	large	ADJ
ap-3818	19	11	values	value	NOUN
ap-3818	19	12	as	as	ADV
ap-3818	19	13	well	well	ADV
ap-3818	19	14	.	.	PUNCT
ap-3818	20	1	this	this	DET
ap-3818	20	2	feature	feature	NOUN
ap-3818	20	3	has	have	AUX
ap-3818	20	4	lead	lead	VERB
ap-3818	20	5	to	to	ADP
ap-3818	20	6	a	a	DET
ap-3818	20	7	great	great	ADJ
ap-3818	20	8	effort	effort	NOUN
ap-3818	20	9	to	to	PART
ap-3818	20	10	achieve	achieve	VERB
ap-3818	20	11	control	control	NOUN
ap-3818	20	12	of	of	ADP
ap-3818	20	13	the	the	DET
ap-3818	20	14	relevant	relevant	ADJ
ap-3818	20	15	physical	physical	ADJ
ap-3818	20	16	parameters	parameter	NOUN
ap-3818	20	17	,	,	PUNCT
ap-3818	20	18	which	which	PRON
ap-3818	20	19	characterize	characterize	VERB
ap-3818	20	20	actual	actual	ADJ
ap-3818	20	21	confinement	confinement	NOUN
ap-3818	20	22	configurations	configuration	NOUN
ap-3818	20	23	,	,	PUNCT
ap-3818	20	24	such	such	ADJ
ap-3818	20	25	that	that	SCONJ
ap-3818	20	26	those	those	DET
ap-3818	20	27	structures	structure	NOUN
ap-3818	20	28	can	can	AUX
ap-3818	20	29	remain	remain	VERB
ap-3818	20	30	stable	stable	ADJ
ap-3818	20	31	to	to	ADP
ap-3818	20	32	ideal	ideal	ADJ
ap-3818	20	33	modes	mode	NOUN
ap-3818	21	1	[	[	X
ap-3818	21	2	9–13	9–13	NOUN
ap-3818	21	3	]	]	PUNCT
ap-3818	21	4	.	.	PUNCT
ap-3818	22	1	it	it	PRON
ap-3818	22	2	is	be	AUX
ap-3818	22	3	true	true	ADJ
ap-3818	22	4	that	that	SCONJ
ap-3818	22	5	a	a	DET
ap-3818	22	6	finite	finite	PROPN
ap-3818	22	7	electric	electric	PROPN
ap-3818	22	8	resistivity	resistivity	PROPN
ap-3818	22	9	provokes	provoke	VERB
ap-3818	22	10	a	a	DET
ap-3818	22	11	decrease	decrease	NOUN
ap-3818	22	12	on	on	ADP
ap-3818	22	13	the	the	DET
ap-3818	22	14	current	current	ADJ
ap-3818	22	15	gradient	gradient	NOUN
ap-3818	22	16	,	,	PUNCT
ap-3818	22	17	which	which	PRON
ap-3818	22	18	drives	drive	VERB
ap-3818	22	19	the	the	DET
ap-3818	22	20	ideal	ideal	ADJ
ap-3818	22	21	modes	mode	NOUN
ap-3818	22	22	.	.	PUNCT
ap-3818	23	1	however	however	ADV
ap-3818	23	2	,	,	PUNCT
ap-3818	23	3	it	it	PRON
ap-3818	23	4	should	should	AUX
ap-3818	23	5	be	be	AUX
ap-3818	23	6	noted	note	VERB
ap-3818	23	7	that	that	SCONJ
ap-3818	23	8	dissipative	dissipative	ADJ
ap-3818	23	9	effects	effect	NOUN
ap-3818	23	10	can	can	AUX
ap-3818	23	11	relax	relax	VERB
ap-3818	23	12	constraints	constraint	NOUN
ap-3818	23	13	in	in	ADP
ap-3818	23	14	the	the	DET
ap-3818	23	15	ideal	ideal	ADJ
ap-3818	23	16	fluid	fluid	NOUN
ap-3818	23	17	as	as	ADV
ap-3818	23	18	well	well	ADV
ap-3818	23	19	.	.	PUNCT
ap-3818	24	1	thus	thus	ADV
ap-3818	24	2	,	,	PUNCT
ap-3818	24	3	states	state	NOUN
ap-3818	24	4	with	with	ADP
ap-3818	24	5	lower	low	ADJ
ap-3818	24	6	potential	potential	ADJ
ap-3818	24	7	energy	energy	NOUN
ap-3818	24	8	can	can	AUX
ap-3818	24	9	become	become	VERB
ap-3818	24	10	accessible	accessible	ADJ
ap-3818	24	11	to	to	ADP
ap-3818	24	12	the	the	DET
ap-3818	24	13	system	system	NOUN
ap-3818	24	14	and	and	CCONJ
ap-3818	24	15	new	new	ADJ
ap-3818	24	16	instabilities	instability	NOUN
ap-3818	24	17	can	can	AUX
ap-3818	24	18	emerge	emerge	VERB
ap-3818	24	19	.	.	PUNCT
ap-3818	25	1	in	in	ADP
ap-3818	25	2	particular	particular	ADJ
ap-3818	25	3	,	,	PUNCT
ap-3818	25	4	a	a	DET
ap-3818	25	5	finite	finite	ADJ
ap-3818	25	6	plasma	plasma	NOUN
ap-3818	25	7	resistivity	resistivity	NOUN
ap-3818	25	8	relaxes	relax	VERB
ap-3818	25	9	the	the	DET
ap-3818	25	10	frozen	freeze	VERB
ap-3818	25	11	-	-	PUNCT
ap-3818	25	12	in	in	ADP
ap-3818	25	13	condition	condition	NOUN
ap-3818	25	14	.	.	PUNCT
ap-3818	26	1	therefore	therefore	ADV
ap-3818	26	2	,	,	PUNCT
ap-3818	26	3	magnetic	magnetic	ADJ
ap-3818	26	4	field	field	NOUN
ap-3818	26	5	lines	line	NOUN
ap-3818	26	6	can	can	AUX
ap-3818	26	7	break	break	VERB
ap-3818	26	8	-	-	PUNCT
ap-3818	26	9	up	up	NOUN
ap-3818	26	10	into	into	ADP
ap-3818	26	11	thin	thin	ADJ
ap-3818	26	12	filaments	filament	NOUN
ap-3818	26	13	.	.	PUNCT
ap-3818	27	1	these	these	DET
ap-3818	27	2	structures	structure	NOUN
ap-3818	27	3	were	be	AUX
ap-3818	27	4	coined	coin	VERB
ap-3818	27	5	magnetic	magnetic	ADJ
ap-3818	27	6	islands	island	NOUN
ap-3818	28	1	[	[	X
ap-3818	28	2	14–18	14–18	NUM
ap-3818	28	3	]	]	PUNCT
ap-3818	28	4	.	.	PUNCT
ap-3818	29	1	magnetic	magnetic	ADJ
ap-3818	29	2	islands	island	NOUN
ap-3818	29	3	play	play	VERB
ap-3818	29	4	a	a	DET
ap-3818	29	5	central	central	ADJ
ap-3818	29	6	role	role	NOUN
ap-3818	29	7	in	in	ADP
ap-3818	29	8	the	the	DET
ap-3818	29	9	physics	physics	NOUN
ap-3818	29	10	of	of	ADP
ap-3818	29	11	magnetic	magnetic	ADJ
ap-3818	29	12	confinement	confinement	NOUN
ap-3818	29	13	configurations	configuration	NOUN
ap-3818	29	14	.	.	PUNCT
ap-3818	30	1	they	they	PRON
ap-3818	30	2	usually	usually	ADV
ap-3818	30	3	grow	grow	VERB
ap-3818	30	4	in	in	ADP
ap-3818	30	5	a	a	DET
ap-3818	30	6	time	time	NOUN
ap-3818	30	7	scale	scale	NOUN
ap-3818	30	8	much	much	ADV
ap-3818	30	9	longer	long	ADV
ap-3818	30	10	than	than	ADP
ap-3818	30	11	the	the	DET
ap-3818	30	12	alfvén	alfvén	NOUN
ap-3818	30	13	time	time	NOUN
ap-3818	30	14	scale	scale	NOUN
ap-3818	30	15	and	and	CCONJ
ap-3818	30	16	attain	attain	VERB
ap-3818	30	17	a	a	DET
ap-3818	30	18	saturated	saturated	ADJ
ap-3818	30	19	size	size	NOUN
ap-3818	30	20	when	when	SCONJ
ap-3818	30	21	the	the	DET
ap-3818	30	22	linear	linear	ADJ
ap-3818	30	23	free	free	ADJ
ap-3818	30	24	energy	energy	NOUN
ap-3818	30	25	,	,	PUNCT
ap-3818	30	26	which	which	PRON
ap-3818	30	27	was	be	AUX
ap-3818	30	28	available	available	ADJ
ap-3818	30	29	to	to	PART
ap-3818	30	30	drive	drive	VERB
ap-3818	30	31	the	the	DET
ap-3818	30	32	change	change	NOUN
ap-3818	30	33	in	in	ADP
ap-3818	30	34	the	the	DET
ap-3818	30	35	topology	topology	NOUN
ap-3818	30	36	of	of	ADP
ap-3818	30	37	the	the	DET
ap-3818	30	38	magnetic	magnetic	ADJ
ap-3818	30	39	field	field	NOUN
ap-3818	30	40	lines	line	NOUN
ap-3818	30	41	,	,	PUNCT
ap-3818	30	42	vanishes	vanish	VERB
ap-3818	30	43	.	.	PUNCT
ap-3818	31	1	if	if	SCONJ
ap-3818	31	2	the	the	DET
ap-3818	31	3	saturated	saturate	VERB
ap-3818	31	4	size	size	NOUN
ap-3818	31	5	of	of	ADP
ap-3818	31	6	the	the	DET
ap-3818	31	7	magnetic	magnetic	ADJ
ap-3818	31	8	islands	island	NOUN
ap-3818	31	9	is	be	AUX
ap-3818	31	10	comparable	comparable	ADJ
ap-3818	31	11	with	with	ADP
ap-3818	31	12	the	the	DET
ap-3818	31	13	radius	radius	NOUN
ap-3818	31	14	of	of	ADP
ap-3818	31	15	the	the	DET
ap-3818	31	16	plasma	plasma	NOUN
ap-3818	31	17	column	column	NOUN
ap-3818	31	18	in	in	ADP
ap-3818	31	19	a	a	DET
ap-3818	31	20	tokamak	tokamak	NOUN
ap-3818	31	21	,	,	PUNCT
ap-3818	31	22	then	then	ADV
ap-3818	31	23	heat	heat	NOUN
ap-3818	31	24	flow	flow	NOUN
ap-3818	31	25	across	across	ADP
ap-3818	31	26	the	the	DET
ap-3818	31	27	field	field	NOUN
ap-3818	31	28	lines	line	NOUN
ap-3818	31	29	is	be	AUX
ap-3818	31	30	essentially	essentially	ADV
ap-3818	31	31	replaced	replace	VERB
ap-3818	31	32	by	by	ADP
ap-3818	31	33	the	the	DET
ap-3818	31	34	much	much	ADV
ap-3818	31	35	faster	fast	ADJ
ap-3818	31	36	flow	flow	NOUN
ap-3818	31	37	along	along	ADP
ap-3818	31	38	the	the	DET
ap-3818	31	39	lines	line	NOUN
ap-3818	31	40	.	.	PUNCT
ap-3818	32	1	when	when	SCONJ
ap-3818	32	2	the	the	DET
ap-3818	32	3	saturated	saturate	VERB
ap-3818	32	4	islands	island	NOUN
ap-3818	32	5	are	be	AUX
ap-3818	32	6	sufficiently	sufficiently	ADV
ap-3818	32	7	large	large	ADJ
ap-3818	32	8	to	to	PART
ap-3818	32	9	touch	touch	VERB
ap-3818	32	10	each	each	DET
ap-3818	32	11	other	other	ADJ
ap-3818	32	12	or	or	CCONJ
ap-3818	32	13	the	the	DET
ap-3818	32	14	material	material	NOUN
ap-3818	32	15	limiter	limiter	NOUN
ap-3818	32	16	inside	inside	ADP
ap-3818	32	17	the	the	DET
ap-3818	32	18	vacuum	vacuum	PROPN
ap-3818	32	19	chamber	chamber	PROPN
ap-3818	32	20	,	,	PUNCT
ap-3818	32	21	a	a	DET
ap-3818	32	22	disruption	disruption	NOUN
ap-3818	32	23	of	of	ADP
ap-3818	32	24	the	the	DET
ap-3818	32	25	plasma	plasma	NOUN
ap-3818	32	26	column	column	NOUN
ap-3818	32	27	can	can	AUX
ap-3818	32	28	occur	occur	VERB
ap-3818	32	29	and	and	CCONJ
ap-3818	32	30	the	the	DET
ap-3818	32	31	chamber	chamber	NOUN
ap-3818	32	32	can	can	AUX
ap-3818	32	33	become	become	AUX
ap-3818	32	34	subjected	subject	VERB
ap-3818	32	35	to	to	ADP
ap-3818	32	36	strong	strong	ADJ
ap-3818	32	37	mechanical	mechanical	ADJ
ap-3818	32	38	stresses	stress	NOUN
ap-3818	32	39	[	[	X
ap-3818	32	40	19–23	19–23	NUM
ap-3818	32	41	]	]	PUNCT
ap-3818	32	42	.	.	PUNCT
ap-3818	33	1	in	in	ADP
ap-3818	33	2	astrophysical	astrophysical	ADJ
ap-3818	33	3	plasmas	plasma	NOUN
ap-3818	33	4	,	,	PUNCT
ap-3818	33	5	magnetic	magnetic	ADJ
ap-3818	33	6	islands	island	NOUN
ap-3818	33	7	play	play	VERB
ap-3818	33	8	an	an	DET
ap-3818	33	9	equally	equally	ADV
ap-3818	33	10	relevant	relevant	ADJ
ap-3818	33	11	role	role	NOUN
ap-3818	33	12	.	.	PUNCT
ap-3818	34	1	magnetic	magnetic	ADJ
ap-3818	34	2	energy	energy	NOUN
ap-3818	34	3	can	can	AUX
ap-3818	34	4	be	be	AUX
ap-3818	34	5	converted	convert	VERB
ap-3818	34	6	into	into	ADP
ap-3818	34	7	kinetic	kinetic	ADJ
ap-3818	34	8	energy	energy	NOUN
ap-3818	34	9	,	,	PUNCT
ap-3818	34	10	thermal	thermal	ADJ
ap-3818	34	11	energy	energy	NOUN
ap-3818	34	12	,	,	PUNCT
ap-3818	34	13	and	and	CCONJ
ap-3818	34	14	particle	particle	NOUN
ap-3818	34	15	acceleration	acceleration	NOUN
ap-3818	34	16	due	due	ADP
ap-3818	34	17	to	to	ADP
ap-3818	34	18	the	the	DET
ap-3818	34	19	modification	modification	NOUN
ap-3818	34	20	of	of	ADP
ap-3818	34	21	the	the	DET
ap-3818	34	22	magnetic	magnetic	ADJ
ap-3818	34	23	topology	topology	NOUN
ap-3818	34	24	in	in	ADP
ap-3818	34	25	highly	highly	ADV
ap-3818	34	26	conducting	conduct	VERB
ap-3818	34	27	plasmas	plasma	NOUN
ap-3818	34	28	.	.	PUNCT
ap-3818	35	1	this	this	DET
ap-3818	35	2	phenomenon	phenomenon	NOUN
ap-3818	35	3	was	be	AUX
ap-3818	35	4	dubbed	dub	VERB
ap-3818	35	5	the	the	DET
ap-3818	35	6	magnetic	magnetic	ADJ
ap-3818	35	7	reconnection	reconnection	NOUN
ap-3818	35	8	.	.	PUNCT
ap-3818	36	1	quite	quite	ADV
ap-3818	36	2	interestingly	interestingly	ADV
ap-3818	36	3	,	,	PUNCT
ap-3818	36	4	the	the	DET
ap-3818	36	5	magnetic	magnetic	ADJ
ap-3818	36	6	reconnection	reconnection	NOUN
ap-3818	36	7	is	be	AUX
ap-3818	36	8	observed	observe	VERB
ap-3818	36	9	to	to	PART
ap-3818	36	10	occur	occur	VERB
ap-3818	36	11	much	much	ADV
ap-3818	36	12	faster	fast	ADV
ap-3818	36	13	than	than	SCONJ
ap-3818	36	14	theoretically	theoretically	ADV
ap-3818	36	15	predicted	predict	VERB
ap-3818	36	16	in	in	ADP
ap-3818	36	17	most	most	ADJ
ap-3818	36	18	astrophysical	astrophysical	ADJ
ap-3818	36	19	processes	process	NOUN
ap-3818	36	20	.	.	PUNCT
ap-3818	37	1	for	for	ADP
ap-3818	37	2	instance	instance	NOUN
ap-3818	37	3	,	,	PUNCT
ap-3818	37	4	solar	solar	ADJ
ap-3818	37	5	flares	flare	NOUN
ap-3818	37	6	eventuate	eventuate	VERB
ap-3818	37	7	several	several	ADJ
ap-3818	37	8	orders	order	NOUN
ap-3818	37	9	of	of	ADP
ap-3818	37	10	magnitude	magnitude	NOUN
ap-3818	37	11	faster	fast	ADV
ap-3818	37	12	than	than	SCONJ
ap-3818	37	13	predicted	predict	VERB
ap-3818	37	14	,	,	PUNCT
ap-3818	37	15	even	even	ADV
ap-3818	37	16	by	by	ADP
ap-3818	37	17	including	include	VERB
ap-3818	37	18	kinetic	kinetic	NOUN
ap-3818	37	19	,	,	PUNCT
ap-3818	37	20	sthocastic	sthocastic	ADJ
ap-3818	37	21	,	,	PUNCT
ap-3818	37	22	and	and	CCONJ
ap-3818	37	23	turbulence	turbulence	NOUN
ap-3818	37	24	effects	effect	NOUN
ap-3818	37	25	into	into	ADP
ap-3818	37	26	the	the	DET
ap-3818	37	27	topological	topological	ADJ
ap-3818	37	28	dynamics	dynamic	NOUN
ap-3818	37	29	[	[	X
ap-3818	37	30	24–29	24–29	NUM
ap-3818	37	31	]	]	PUNCT
ap-3818	37	32	.	.	PUNCT
ap-3818	38	1	this	this	DET
ap-3818	38	2	issue	issue	NOUN
ap-3818	38	3	suggests	suggest	VERB
ap-3818	38	4	the	the	DET
ap-3818	38	5	possibility	possibility	NOUN
ap-3818	38	6	that	that	SCONJ
ap-3818	38	7	there	there	PRON
ap-3818	38	8	is	be	VERB
ap-3818	38	9	still	still	ADV
ap-3818	38	10	enough	enough	ADJ
ap-3818	38	11	room	room	NOUN
ap-3818	38	12	to	to	PART
ap-3818	38	13	explore	explore	VERB
ap-3818	38	14	the	the	DET
ap-3818	38	15	most	most	ADV
ap-3818	38	16	basic	basic	ADJ
ap-3818	38	17	mechanisms	mechanism	NOUN
ap-3818	38	18	,	,	PUNCT
ap-3818	38	19	which	which	PRON
ap-3818	38	20	underly	underly	ADV
ap-3818	38	21	the	the	DET
ap-3818	38	22	formation	formation	NOUN
ap-3818	38	23	of	of	ADP
ap-3818	38	24	magnetic	magnetic	ADJ
ap-3818	38	25	islands	island	NOUN
ap-3818	38	26	.	.	PUNCT
ap-3818	39	1	the	the	DET
ap-3818	39	2	resistive	resistive	ADJ
ap-3818	39	3	instability	instability	NOUN
ap-3818	39	4	that	that	PRON
ap-3818	39	5	is	be	AUX
ap-3818	39	6	responsible	responsible	ADJ
ap-3818	39	7	to	to	PART
ap-3818	39	8	form	form	VERB
ap-3818	39	9	magnetic	magnetic	ADJ
ap-3818	39	10	islands	island	NOUN
ap-3818	39	11	is	be	AUX
ap-3818	39	12	known	know	VERB
ap-3818	39	13	as	as	ADP
ap-3818	39	14	the	the	DET
ap-3818	39	15	tearing	tear	VERB
ap-3818	39	16	instability	instability	NOUN
ap-3818	39	17	.	.	PUNCT
ap-3818	40	1	the	the	DET
ap-3818	40	2	linear	linear	PROPN
ap-3818	40	3	theory	theory	NOUN
ap-3818	40	4	of	of	ADP
ap-3818	40	5	the	the	DET
ap-3818	40	6	tearing	tear	VERB
ap-3818	40	7	modes	mode	NOUN
ap-3818	40	8	was	be	AUX
ap-3818	40	9	originally	originally	ADV
ap-3818	40	10	32	32	NUM
ap-3818	40	11	http://dx.doi.org/10.14311/ap.2017.57.0032	http://dx.doi.org/10.14311/ap.2017.57.0032	ADP
ap-3818	40	12	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-3818	40	13	vol	vol	NOUN
ap-3818	40	14	.	.	PUNCT
ap-3818	41	1	57	57	NUM
ap-3818	42	1	no	no	NOUN
ap-3818	42	2	.	.	PUNCT
ap-3818	43	1	1/2017	1/2017	NUM
ap-3818	43	2	tearing	tear	VERB
ap-3818	43	3	modes	mode	NOUN
ap-3818	43	4	growth	growth	NOUN
ap-3818	43	5	rate	rate	NOUN
ap-3818	43	6	amplification	amplification	NOUN
ap-3818	43	7	due	due	ADP
ap-3818	43	8	to	to	PART
ap-3818	43	9	finite	finite	VERB
ap-3818	43	10	current	current	ADJ
ap-3818	43	11	relaxation	relaxation	NOUN
ap-3818	43	12	discussed	discuss	VERB
ap-3818	43	13	by	by	ADP
ap-3818	43	14	furth	furth	PROPN
ap-3818	43	15	,	,	PUNCT
ap-3818	43	16	killeen	killeen	PROPN
ap-3818	43	17	,	,	PUNCT
ap-3818	43	18	and	and	CCONJ
ap-3818	43	19	rosenbluth	rosenbluth	ADV
ap-3818	43	20	[	[	X
ap-3818	43	21	30	30	NUM
ap-3818	43	22	]	]	PUNCT
ap-3818	43	23	,	,	PUNCT
ap-3818	43	24	and	and	CCONJ
ap-3818	43	25	further	far	ADV
ap-3818	43	26	developed	develop	VERB
ap-3818	43	27	by	by	ADP
ap-3818	43	28	many	many	ADJ
ap-3818	43	29	authors	author	NOUN
ap-3818	43	30	[	[	X
ap-3818	43	31	31–35	31–35	NUM
ap-3818	43	32	]	]	PUNCT
ap-3818	43	33	.	.	PUNCT
ap-3818	44	1	a	a	DET
ap-3818	44	2	linear	linear	ADJ
ap-3818	44	3	perturbation	perturbation	NOUN
ap-3818	44	4	is	be	AUX
ap-3818	44	5	effected	effect	VERB
ap-3818	44	6	on	on	ADP
ap-3818	44	7	a	a	DET
ap-3818	44	8	given	give	VERB
ap-3818	44	9	static	static	ADJ
ap-3818	44	10	state	state	NOUN
ap-3818	44	11	of	of	ADP
ap-3818	44	12	equilibrium	equilibrium	NOUN
ap-3818	44	13	of	of	ADP
ap-3818	44	14	an	an	DET
ap-3818	44	15	infinite	infinite	ADJ
ap-3818	44	16	ideal	ideal	ADJ
ap-3818	44	17	plasma	plasma	NOUN
ap-3818	44	18	,	,	PUNCT
ap-3818	44	19	which	which	PRON
ap-3818	44	20	contains	contain	VERB
ap-3818	44	21	a	a	DET
ap-3818	44	22	thin	thin	ADJ
ap-3818	44	23	plane	plane	NOUN
ap-3818	44	24	slab	slab	NOUN
ap-3818	44	25	,	,	PUNCT
ap-3818	44	26	with	with	ADP
ap-3818	44	27	a	a	DET
ap-3818	44	28	small	small	ADJ
ap-3818	44	29	resistivity	resistivity	PROPN
ap-3818	44	30	η	η	PROPN
ap-3818	44	31	.	.	PROPN
ap-3818	44	32	therefore	therefore	ADV
ap-3818	44	33	,	,	PUNCT
ap-3818	44	34	on	on	ADP
ap-3818	44	35	the	the	DET
ap-3818	44	36	assumption	assumption	NOUN
ap-3818	44	37	of	of	ADP
ap-3818	44	38	the	the	DET
ap-3818	44	39	usual	usual	ADJ
ap-3818	44	40	ohm	ohm	NOUN
ap-3818	44	41	’s	’s	PART
ap-3818	44	42	law	law	NOUN
ap-3818	44	43	,	,	PUNCT
ap-3818	44	44	which	which	PRON
ap-3818	44	45	establishes	establish	VERB
ap-3818	44	46	that	that	SCONJ
ap-3818	44	47	the	the	DET
ap-3818	44	48	electric	electric	ADJ
ap-3818	44	49	field	field	NOUN
ap-3818	44	50	in	in	ADP
ap-3818	44	51	a	a	DET
ap-3818	44	52	frame	frame	NOUN
ap-3818	44	53	moving	move	VERB
ap-3818	44	54	with	with	ADP
ap-3818	44	55	the	the	DET
ap-3818	44	56	fluid	fluid	NOUN
ap-3818	44	57	is	be	AUX
ap-3818	44	58	equal	equal	ADJ
ap-3818	44	59	to	to	ADP
ap-3818	44	60	the	the	DET
ap-3818	44	61	product	product	NOUN
ap-3818	44	62	of	of	ADP
ap-3818	44	63	the	the	DET
ap-3818	44	64	plasma	plasma	NOUN
ap-3818	44	65	resistivity	resistivity	NOUN
ap-3818	44	66	with	with	ADP
ap-3818	44	67	the	the	DET
ap-3818	44	68	current	current	ADJ
ap-3818	44	69	density	density	NOUN
ap-3818	44	70	,	,	PUNCT
ap-3818	44	71	one	one	PRON
ap-3818	44	72	finds	find	VERB
ap-3818	44	73	that	that	SCONJ
ap-3818	44	74	the	the	DET
ap-3818	44	75	growth	growth	NOUN
ap-3818	44	76	rate	rate	NOUN
ap-3818	44	77	γ	γ	NOUN
ap-3818	44	78	of	of	ADP
ap-3818	44	79	the	the	DET
ap-3818	44	80	tearing	tear	VERB
ap-3818	44	81	modes	mode	NOUN
ap-3818	44	82	scales	scale	VERB
ap-3818	44	83	with	with	ADP
ap-3818	44	84	η	η	PROPN
ap-3818	44	85	as	as	ADP
ap-3818	44	86	γ	γ	X
ap-3818	44	87	∼	∼	NOUN
ap-3818	44	88	η3/5	η3/5	NOUN
ap-3818	44	89	.	.	PUNCT
ap-3818	45	1	this	this	PRON
ap-3818	45	2	is	be	AUX
ap-3818	45	3	the	the	DET
ap-3818	45	4	central	central	ADJ
ap-3818	45	5	result	result	NOUN
ap-3818	45	6	of	of	ADP
ap-3818	45	7	the	the	DET
ap-3818	45	8	standard	standard	ADJ
ap-3818	45	9	theory	theory	NOUN
ap-3818	45	10	of	of	ADP
ap-3818	45	11	the	the	DET
ap-3818	45	12	tearing	tear	VERB
ap-3818	45	13	modes	mode	NOUN
ap-3818	45	14	.	.	PUNCT
ap-3818	46	1	in	in	ADP
ap-3818	46	2	this	this	DET
ap-3818	46	3	work	work	NOUN
ap-3818	46	4	,	,	PUNCT
ap-3818	46	5	we	we	PRON
ap-3818	46	6	investigate	investigate	VERB
ap-3818	46	7	the	the	DET
ap-3818	46	8	influence	influence	NOUN
ap-3818	46	9	of	of	ADP
ap-3818	46	10	perturbative	perturbative	ADJ
ap-3818	46	11	wavelengths	wavelength	NOUN
ap-3818	46	12	,	,	PUNCT
ap-3818	46	13	shorter	short	ADJ
ap-3818	46	14	than	than	ADP
ap-3818	46	15	those	those	PRON
ap-3818	46	16	usually	usually	ADV
ap-3818	46	17	considered	consider	VERB
ap-3818	46	18	,	,	PUNCT
ap-3818	46	19	on	on	ADP
ap-3818	46	20	the	the	DET
ap-3818	46	21	growth	growth	NOUN
ap-3818	46	22	rate	rate	NOUN
ap-3818	46	23	of	of	ADP
ap-3818	46	24	the	the	DET
ap-3818	46	25	tearing	tear	VERB
ap-3818	46	26	modes	mode	NOUN
ap-3818	46	27	.	.	PUNCT
ap-3818	47	1	thus	thus	ADV
ap-3818	47	2	,	,	PUNCT
ap-3818	47	3	we	we	PRON
ap-3818	47	4	adopt	adopt	VERB
ap-3818	47	5	an	an	DET
ap-3818	47	6	extended	extended	ADJ
ap-3818	47	7	form	form	NOUN
ap-3818	47	8	of	of	ADP
ap-3818	47	9	ohm	ohm	NOUN
ap-3818	47	10	’s	’s	PART
ap-3818	47	11	law	law	NOUN
ap-3818	47	12	,	,	PUNCT
ap-3818	47	13	which	which	PRON
ap-3818	47	14	includes	include	VERB
ap-3818	47	15	a	a	DET
ap-3818	47	16	finite	finite	ADJ
ap-3818	47	17	relaxation	relaxation	NOUN
ap-3818	47	18	time	time	NOUN
ap-3818	47	19	for	for	ADP
ap-3818	47	20	the	the	DET
ap-3818	47	21	current	current	ADJ
ap-3818	47	22	density	density	NOUN
ap-3818	47	23	,	,	PUNCT
ap-3818	47	24	due	due	ADP
ap-3818	47	25	to	to	ADP
ap-3818	47	26	inertial	inertial	ADJ
ap-3818	47	27	effects	effect	NOUN
ap-3818	47	28	of	of	ADP
ap-3818	47	29	charged	charge	VERB
ap-3818	47	30	species	specie	NOUN
ap-3818	47	31	.	.	PUNCT
ap-3818	48	1	in	in	ADP
ap-3818	48	2	the	the	DET
ap-3818	48	3	long	long	ADJ
ap-3818	48	4	wavelength	wavelength	NOUN
ap-3818	48	5	limit	limit	NOUN
ap-3818	48	6	,	,	PUNCT
ap-3818	48	7	we	we	PRON
ap-3818	48	8	observe	observe	VERB
ap-3818	48	9	the	the	DET
ap-3818	48	10	standard	standard	ADJ
ap-3818	48	11	growth	growth	NOUN
ap-3818	48	12	rate	rate	NOUN
ap-3818	48	13	of	of	ADP
ap-3818	48	14	the	the	DET
ap-3818	48	15	tearing	tear	VERB
ap-3818	48	16	modes	mode	NOUN
ap-3818	48	17	.	.	PUNCT
ap-3818	49	1	however	however	ADV
ap-3818	49	2	,	,	PUNCT
ap-3818	49	3	in	in	ADP
ap-3818	49	4	the	the	DET
ap-3818	49	5	short	short	ADJ
ap-3818	49	6	wavelength	wavelength	NOUN
ap-3818	49	7	limit	limit	NOUN
ap-3818	49	8	,	,	PUNCT
ap-3818	49	9	we	we	PRON
ap-3818	49	10	can	can	AUX
ap-3818	49	11	see	see	VERB
ap-3818	49	12	that	that	SCONJ
ap-3818	49	13	the	the	DET
ap-3818	49	14	growth	growth	NOUN
ap-3818	49	15	rate	rate	NOUN
ap-3818	49	16	does	do	AUX
ap-3818	49	17	not	not	PART
ap-3818	49	18	depend	depend	VERB
ap-3818	49	19	on	on	ADP
ap-3818	49	20	the	the	DET
ap-3818	49	21	fluid	fluid	ADJ
ap-3818	49	22	resistivity	resistivity	NOUN
ap-3818	49	23	any	any	ADV
ap-3818	49	24	longer	long	ADV
ap-3818	49	25	.	.	PUNCT
ap-3818	50	1	actually	actually	ADV
ap-3818	50	2	,	,	PUNCT
ap-3818	50	3	we	we	PRON
ap-3818	50	4	can	can	AUX
ap-3818	50	5	find	find	VERB
ap-3818	50	6	out	out	ADP
ap-3818	50	7	that	that	SCONJ
ap-3818	50	8	γ	γ	PROPN
ap-3818	50	9	now	now	ADV
ap-3818	50	10	scales	scale	VERB
ap-3818	50	11	with	with	ADP
ap-3818	50	12	the	the	DET
ap-3818	50	13	electron	electron	NOUN
ap-3818	50	14	number	number	NOUN
ap-3818	50	15	density	density	NOUN
ap-3818	50	16	ne	ne	PROPN
ap-3818	50	17	as	as	ADP
ap-3818	50	18	γ	γ	X
ap-3818	50	19	∼	∼	X
ap-3818	50	20	n−3/2	n−3/2	PROPN
ap-3818	50	21	e	e	PROPN
ap-3818	50	22	.	.	PUNCT
ap-3818	51	1	therefore	therefore	ADV
ap-3818	51	2	,	,	PUNCT
ap-3818	51	3	through	through	ADP
ap-3818	51	4	a	a	DET
ap-3818	51	5	suitable	suitable	ADJ
ap-3818	51	6	combination	combination	NOUN
ap-3818	51	7	of	of	ADP
ap-3818	51	8	both	both	PRON
ap-3818	51	9	limiting	limit	VERB
ap-3818	51	10	results	result	NOUN
ap-3818	51	11	,	,	PUNCT
ap-3818	51	12	we	we	PRON
ap-3818	51	13	show	show	VERB
ap-3818	51	14	that	that	SCONJ
ap-3818	51	15	the	the	DET
ap-3818	51	16	standard	standard	ADJ
ap-3818	51	17	growth	growth	NOUN
ap-3818	51	18	rate	rate	NOUN
ap-3818	51	19	of	of	ADP
ap-3818	51	20	the	the	DET
ap-3818	51	21	tearing	tear	VERB
ap-3818	51	22	modes	mode	NOUN
ap-3818	51	23	can	can	AUX
ap-3818	51	24	be	be	AUX
ap-3818	51	25	substantially	substantially	ADV
ap-3818	51	26	amplificated	amplificate	VERB
ap-3818	51	27	,	,	PUNCT
ap-3818	51	28	even	even	ADV
ap-3818	51	29	by	by	ADP
ap-3818	51	30	moderate	moderate	ADJ
ap-3818	51	31	shortenings	shortening	NOUN
ap-3818	51	32	of	of	ADP
ap-3818	51	33	perturbative	perturbative	ADJ
ap-3818	51	34	wavelengths	wavelength	NOUN
ap-3818	51	35	.	.	PUNCT
ap-3818	52	1	further	further	ADJ
ap-3818	52	2	developments	development	NOUN
ap-3818	52	3	of	of	ADP
ap-3818	52	4	our	our	PRON
ap-3818	52	5	theory	theory	NOUN
ap-3818	52	6	may	may	AUX
ap-3818	52	7	contribute	contribute	VERB
ap-3818	52	8	to	to	ADP
ap-3818	52	9	the	the	DET
ap-3818	52	10	explanation	explanation	NOUN
ap-3818	52	11	of	of	ADP
ap-3818	52	12	the	the	DET
ap-3818	52	13	fast	fast	ADJ
ap-3818	52	14	magnetic	magnetic	ADJ
ap-3818	52	15	reconnection	reconnection	NOUN
ap-3818	52	16	of	of	ADP
ap-3818	52	17	field	field	NOUN
ap-3818	52	18	lines	line	NOUN
ap-3818	52	19	,	,	PUNCT
ap-3818	52	20	as	as	SCONJ
ap-3818	52	21	observed	observe	VERB
ap-3818	52	22	in	in	ADP
ap-3818	52	23	astrophysical	astrophysical	ADJ
ap-3818	52	24	plasmas	plasma	NOUN
ap-3818	52	25	.	.	PUNCT
ap-3818	53	1	2	2	X
ap-3818	53	2	.	.	NUM
ap-3818	53	3	basic	basic	ADJ
ap-3818	53	4	equations	equation	NOUN
ap-3818	53	5	and	and	CCONJ
ap-3818	53	6	linear	linear	ADJ
ap-3818	53	7	analysis	analysis	NOUN
ap-3818	53	8	let	let	VERB
ap-3818	53	9	us	we	PRON
ap-3818	53	10	start	start	VERB
ap-3818	53	11	by	by	ADP
ap-3818	53	12	considering	consider	VERB
ap-3818	53	13	an	an	DET
ap-3818	53	14	infinite	infinite	ADJ
ap-3818	53	15	plasma	plasma	NOUN
ap-3818	53	16	,	,	PUNCT
ap-3818	53	17	in	in	ADP
ap-3818	53	18	the	the	DET
ap-3818	53	19	presence	presence	NOUN
ap-3818	53	20	of	of	ADP
ap-3818	53	21	a	a	DET
ap-3818	53	22	magnetic	magnetic	ADJ
ap-3818	53	23	field	field	NOUN
ap-3818	53	24	~b	~b	PUNCT
ap-3818	53	25	,	,	PUNCT
ap-3818	53	26	flowing	flow	VERB
ap-3818	53	27	with	with	ADP
ap-3818	53	28	a	a	DET
ap-3818	53	29	velocity	velocity	NOUN
ap-3818	53	30	~v	~v	NUM
ap-3818	53	31	.	.	PUNCT
ap-3818	54	1	by	by	ADP
ap-3818	54	2	adopting	adopt	VERB
ap-3818	54	3	cartesian	cartesian	ADJ
ap-3818	54	4	coordinates	coordinate	NOUN
ap-3818	54	5	(	(	PUNCT
ap-3818	54	6	x	x	X
ap-3818	54	7	,	,	PUNCT
ap-3818	54	8	y	y	PROPN
ap-3818	54	9	,	,	PUNCT
ap-3818	54	10	z	z	NOUN
ap-3818	54	11	)	)	PUNCT
ap-3818	54	12	,	,	PUNCT
ap-3818	54	13	we	we	PRON
ap-3818	54	14	assume	assume	VERB
ap-3818	54	15	that	that	SCONJ
ap-3818	54	16	~b	~b	PUNCT
ap-3818	54	17	=	=	SYM
ap-3818	54	18	ẑb‖0	ẑb‖0	NUM
ap-3818	54	19	−	−	NUM
ap-3818	54	20	ẑ	ẑ	X
ap-3818	54	21	×∇ψ	×∇ψ	PROPN
ap-3818	54	22	,	,	PUNCT
ap-3818	54	23	~v	~v	PUNCT
ap-3818	54	24	=	=	SYM
ap-3818	54	25	−ẑ	−ẑ	PUNCT
ap-3818	54	26	×∇φ	×∇φ	PROPN
ap-3818	54	27	,	,	PUNCT
ap-3818	54	28	(	(	PUNCT
ap-3818	54	29	1	1	X
ap-3818	54	30	)	)	PUNCT
ap-3818	54	31	where	where	SCONJ
ap-3818	54	32	the	the	DET
ap-3818	54	33	flux	flux	NOUN
ap-3818	54	34	functions	function	NOUN
ap-3818	54	35	ψ	ψ	X
ap-3818	54	36	and	and	CCONJ
ap-3818	54	37	φ	φ	PROPN
ap-3818	54	38	depend	depend	VERB
ap-3818	54	39	only	only	ADV
ap-3818	54	40	on	on	ADP
ap-3818	54	41	x	x	PUNCT
ap-3818	54	42	and	and	CCONJ
ap-3818	54	43	y	y	PROPN
ap-3818	54	44	(	(	PUNCT
ap-3818	54	45	of	of	ADP
ap-3818	54	46	course	course	NOUN
ap-3818	54	47	,	,	PUNCT
ap-3818	54	48	they	they	PRON
ap-3818	54	49	are	be	AUX
ap-3818	54	50	allowed	allow	VERB
ap-3818	54	51	to	to	PART
ap-3818	54	52	depend	depend	VERB
ap-3818	54	53	on	on	ADP
ap-3818	54	54	the	the	DET
ap-3818	54	55	time	time	NOUN
ap-3818	54	56	t	t	NOUN
ap-3818	54	57	as	as	ADV
ap-3818	54	58	well	well	ADV
ap-3818	54	59	)	)	PUNCT
ap-3818	54	60	,	,	PUNCT
ap-3818	54	61	and	and	CCONJ
ap-3818	54	62	b‖0	b‖0	PROPN
ap-3818	54	63	is	be	AUX
ap-3818	54	64	a	a	DET
ap-3818	54	65	constant	constant	ADJ
ap-3818	54	66	.	.	PUNCT
ap-3818	55	1	while	while	SCONJ
ap-3818	55	2	writing	write	VERB
ap-3818	55	3	(	(	PUNCT
ap-3818	55	4	1	1	NUM
ap-3818	55	5	)	)	PUNCT
ap-3818	55	6	,	,	PUNCT
ap-3818	55	7	it	it	PRON
ap-3818	55	8	should	should	AUX
ap-3818	55	9	be	be	AUX
ap-3818	55	10	noted	note	VERB
ap-3818	55	11	that	that	SCONJ
ap-3818	55	12	the	the	DET
ap-3818	55	13	conditions	condition	NOUN
ap-3818	55	14	on	on	ADP
ap-3818	55	15	the	the	DET
ap-3818	55	16	absence	absence	NOUN
ap-3818	55	17	of	of	ADP
ap-3818	55	18	magnetic	magnetic	ADJ
ap-3818	55	19	monopoles	monopole	NOUN
ap-3818	55	20	,	,	PUNCT
ap-3818	55	21	∇	∇	X
ap-3818	55	22	·	·	PUNCT
ap-3818	55	23	~b	~b	PUNCT
ap-3818	55	24	=	=	SYM
ap-3818	55	25	0	0	NUM
ap-3818	55	26	,	,	PUNCT
ap-3818	55	27	and	and	CCONJ
ap-3818	55	28	incompressibility	incompressibility	NOUN
ap-3818	55	29	,	,	PUNCT
ap-3818	55	30	∇	∇	X
ap-3818	55	31	·	·	PUNCT
ap-3818	55	32	~v	~v	PUNCT
ap-3818	55	33	=	=	SYM
ap-3818	55	34	0	0	NUM
ap-3818	55	35	,	,	PUNCT
ap-3818	55	36	are	be	AUX
ap-3818	55	37	automatically	automatically	ADV
ap-3818	55	38	satisfied	satisfied	ADJ
ap-3818	55	39	.	.	PUNCT
ap-3818	56	1	in	in	ADP
ap-3818	56	2	this	this	DET
ap-3818	56	3	work	work	NOUN
ap-3818	56	4	,	,	PUNCT
ap-3818	56	5	we	we	PRON
ap-3818	56	6	aim	aim	VERB
ap-3818	56	7	to	to	PART
ap-3818	56	8	explore	explore	VERB
ap-3818	56	9	the	the	DET
ap-3818	56	10	influence	influence	NOUN
ap-3818	56	11	of	of	ADP
ap-3818	56	12	perturbative	perturbative	ADJ
ap-3818	56	13	wavelengths	wavelength	NOUN
ap-3818	56	14	,	,	PUNCT
ap-3818	56	15	shorter	short	ADJ
ap-3818	56	16	than	than	ADP
ap-3818	56	17	those	those	PRON
ap-3818	56	18	usually	usually	ADV
ap-3818	56	19	considered	consider	VERB
ap-3818	56	20	,	,	PUNCT
ap-3818	56	21	on	on	ADP
ap-3818	56	22	the	the	DET
ap-3818	56	23	growth	growth	NOUN
ap-3818	56	24	rate	rate	NOUN
ap-3818	56	25	of	of	ADP
ap-3818	56	26	tearing	tear	VERB
ap-3818	56	27	modes	mode	NOUN
ap-3818	56	28	.	.	PUNCT
ap-3818	57	1	therefore	therefore	ADV
ap-3818	57	2	,	,	PUNCT
ap-3818	57	3	we	we	PRON
ap-3818	57	4	adopt	adopt	VERB
ap-3818	57	5	an	an	DET
ap-3818	57	6	extended	extended	ADJ
ap-3818	57	7	form	form	NOUN
ap-3818	57	8	of	of	ADP
ap-3818	57	9	ohm	ohm	NOUN
ap-3818	57	10	’s	’s	PART
ap-3818	57	11	law	law	NOUN
ap-3818	57	12	(	(	PUNCT
ap-3818	57	13	a	a	DET
ap-3818	57	14	still	still	ADV
ap-3818	57	15	more	more	ADV
ap-3818	57	16	general	general	ADJ
ap-3818	57	17	formula	formula	NOUN
ap-3818	57	18	should	should	AUX
ap-3818	57	19	include	include	VERB
ap-3818	57	20	ion	ion	NOUN
ap-3818	57	21	and	and	CCONJ
ap-3818	57	22	electron	electron	NOUN
ap-3818	57	23	pressure	pressure	NOUN
ap-3818	57	24	gradients	gradient	NOUN
ap-3818	57	25	,	,	PUNCT
ap-3818	57	26	as	as	ADV
ap-3818	57	27	well	well	ADV
ap-3818	57	28	as	as	ADP
ap-3818	57	29	the	the	DET
ap-3818	57	30	hall	hall	NOUN
ap-3818	57	31	effect	effect	NOUN
ap-3818	57	32	[	[	X
ap-3818	57	33	7	7	NUM
ap-3818	57	34	,	,	PUNCT
ap-3818	57	35	36–40	36–40	NUM
ap-3818	57	36	]	]	PUNCT
ap-3818	57	37	,	,	PUNCT
ap-3818	57	38	however	however	ADV
ap-3818	57	39	,	,	PUNCT
ap-3818	57	40	those	those	DET
ap-3818	57	41	terms	term	NOUN
ap-3818	57	42	are	be	AUX
ap-3818	57	43	not	not	PART
ap-3818	57	44	relevant	relevant	ADJ
ap-3818	57	45	for	for	ADP
ap-3818	57	46	our	our	PRON
ap-3818	57	47	purposes	purpose	NOUN
ap-3818	57	48	)	)	PUNCT
ap-3818	57	49	,	,	PUNCT
ap-3818	57	50	~e	~e	PUNCT
ap-3818	58	1	+	+	CCONJ
ap-3818	58	2	~v	~v	NUM
ap-3818	58	3	×	×	NOUN
ap-3818	58	4	~b	~b	SYM
ap-3818	58	5	=	=	SYM
ap-3818	58	6	η	η	PROPN
ap-3818	58	7	(	(	PUNCT
ap-3818	58	8	1	1	NUM
ap-3818	58	9	+	+	NUM
ap-3818	58	10	τc	τc	DET
ap-3818	58	11	∂	∂	ADV
ap-3818	58	12	∂t	∂t	PROPN
ap-3818	58	13	)	)	PUNCT
ap-3818	58	14	~j	~j	PROPN
ap-3818	58	15	,	,	PUNCT
ap-3818	58	16	(	(	PUNCT
ap-3818	58	17	2	2	X
ap-3818	58	18	)	)	PUNCT
ap-3818	58	19	where	where	SCONJ
ap-3818	58	20	~e	~e	NUM
ap-3818	58	21	,	,	PUNCT
ap-3818	58	22	~j	~j	NUM
ap-3818	58	23	,	,	PUNCT
ap-3818	58	24	and	and	CCONJ
ap-3818	58	25	η	η	PROPN
ap-3818	58	26	are	be	AUX
ap-3818	58	27	the	the	DET
ap-3818	58	28	electric	electric	ADJ
ap-3818	58	29	field	field	NOUN
ap-3818	58	30	,	,	PUNCT
ap-3818	58	31	current	current	ADJ
ap-3818	58	32	density	density	NOUN
ap-3818	58	33	,	,	PUNCT
ap-3818	58	34	and	and	CCONJ
ap-3818	58	35	electric	electric	PROPN
ap-3818	58	36	resistivity	resistivity	NOUN
ap-3818	58	37	,	,	PUNCT
ap-3818	58	38	respectively	respectively	ADV
ap-3818	58	39	.	.	PUNCT
ap-3818	59	1	for	for	ADP
ap-3818	59	2	singly	singly	ADV
ap-3818	59	3	ionized	ionize	VERB
ap-3818	59	4	,	,	PUNCT
ap-3818	59	5	approximately	approximately	ADV
ap-3818	59	6	neutral	neutral	ADJ
ap-3818	59	7	,	,	PUNCT
ap-3818	59	8	resistive	resistive	ADJ
ap-3818	59	9	plasmas	plasma	NOUN
ap-3818	59	10	,	,	PUNCT
ap-3818	59	11	τc	τc	AUX
ap-3818	59	12	=	=	PUNCT
ap-3818	59	13	me(nee	me(nee	PROPN
ap-3818	59	14	2η)−1	2η)−1	NUM
ap-3818	59	15	,	,	PUNCT
ap-3818	59	16	with	with	ADP
ap-3818	59	17	me	i	PRON
ap-3818	59	18	,	,	PUNCT
ap-3818	59	19	ne	ne	PROPN
ap-3818	59	20	,	,	PUNCT
ap-3818	59	21	and	and	CCONJ
ap-3818	59	22	e	e	NOUN
ap-3818	59	23	standing	stand	VERB
ap-3818	59	24	for	for	ADP
ap-3818	59	25	the	the	DET
ap-3818	59	26	electron	electron	NOUN
ap-3818	59	27	mass	mass	PROPN
ap-3818	59	28	,	,	PUNCT
ap-3818	59	29	number	number	NOUN
ap-3818	59	30	density	density	NOUN
ap-3818	59	31	and	and	CCONJ
ap-3818	59	32	charge	charge	NOUN
ap-3818	59	33	,	,	PUNCT
ap-3818	59	34	respectively	respectively	ADV
ap-3818	59	35	.	.	PUNCT
ap-3818	60	1	as	as	ADP
ap-3818	60	2	a	a	DET
ap-3818	60	3	matter	matter	NOUN
ap-3818	60	4	of	of	ADP
ap-3818	60	5	fact	fact	NOUN
ap-3818	60	6	,	,	PUNCT
ap-3818	60	7	τc	τc	PRON
ap-3818	60	8	must	must	AUX
ap-3818	60	9	be	be	AUX
ap-3818	60	10	interpreted	interpret	VERB
ap-3818	60	11	as	as	ADP
ap-3818	60	12	the	the	DET
ap-3818	60	13	finite	finite	ADJ
ap-3818	60	14	relaxation	relaxation	NOUN
ap-3818	60	15	time	time	NOUN
ap-3818	60	16	for	for	ADP
ap-3818	60	17	the	the	DET
ap-3818	60	18	current	current	ADJ
ap-3818	60	19	density	density	NOUN
ap-3818	60	20	,	,	PUNCT
ap-3818	60	21	due	due	ADP
ap-3818	60	22	to	to	ADP
ap-3818	60	23	inertial	inertial	ADJ
ap-3818	60	24	effects	effect	NOUN
ap-3818	60	25	of	of	ADP
ap-3818	60	26	charged	charge	VERB
ap-3818	60	27	species	specie	NOUN
ap-3818	60	28	.	.	PUNCT
ap-3818	61	1	actually	actually	ADV
ap-3818	61	2	,	,	PUNCT
ap-3818	61	3	if	if	SCONJ
ap-3818	61	4	the	the	DET
ap-3818	61	5	electromagnetic	electromagnetic	ADJ
ap-3818	61	6	field	field	NOUN
ap-3818	61	7	is	be	AUX
ap-3818	61	8	suddenly	suddenly	ADV
ap-3818	61	9	removed	remove	VERB
ap-3818	61	10	from	from	ADP
ap-3818	61	11	the	the	DET
ap-3818	61	12	presence	presence	NOUN
ap-3818	61	13	of	of	ADP
ap-3818	61	14	the	the	DET
ap-3818	61	15	fluid	fluid	NOUN
ap-3818	61	16	,	,	PUNCT
ap-3818	61	17	then	then	ADV
ap-3818	61	18	(	(	PUNCT
ap-3818	61	19	2	2	X
ap-3818	61	20	)	)	PUNCT
ap-3818	61	21	shows	show	VERB
ap-3818	61	22	that	that	SCONJ
ap-3818	61	23	~j(t	~j(t	PROPN
ap-3818	61	24	)	)	PUNCT
ap-3818	61	25	=	=	PRON
ap-3818	62	1	~j(0)e−τ	~j(0)e−τ	AUX
ap-3818	62	2	−1	−1	NOUN
ap-3818	63	1	c	c	NOUN
ap-3818	63	2	t.	t.	PROPN
ap-3818	64	1	this	this	PRON
ap-3818	64	2	means	mean	VERB
ap-3818	64	3	that	that	SCONJ
ap-3818	64	4	the	the	DET
ap-3818	64	5	initial	initial	ADJ
ap-3818	64	6	current	current	ADJ
ap-3818	64	7	~j(0	~j(0	NOUN
ap-3818	64	8	)	)	PUNCT
ap-3818	64	9	damps	damp	VERB
ap-3818	64	10	off	off	ADP
ap-3818	64	11	in	in	ADP
ap-3818	64	12	the	the	DET
ap-3818	64	13	fluid	fluid	NOUN
ap-3818	64	14	,	,	PUNCT
ap-3818	64	15	in	in	ADP
ap-3818	64	16	a	a	DET
ap-3818	64	17	time	time	NOUN
ap-3818	64	18	interval	interval	NOUN
ap-3818	64	19	of	of	ADP
ap-3818	64	20	the	the	DET
ap-3818	64	21	order	order	NOUN
ap-3818	64	22	of	of	ADP
ap-3818	64	23	the	the	DET
ap-3818	64	24	scale	scale	NOUN
ap-3818	64	25	τc	τc	NOUN
ap-3818	64	26	.	.	PUNCT
ap-3818	65	1	at	at	ADP
ap-3818	65	2	sufficiently	sufficiently	ADV
ap-3818	65	3	long	long	ADJ
ap-3818	65	4	wavelengths	wavelength	NOUN
ap-3818	65	5	,	,	PUNCT
ap-3818	65	6	characterizing	characterize	VERB
ap-3818	65	7	the	the	DET
ap-3818	65	8	fields	field	NOUN
ap-3818	65	9	,	,	PUNCT
ap-3818	65	10	inertial	inertial	ADJ
ap-3818	65	11	effects	effect	NOUN
ap-3818	65	12	are	be	AUX
ap-3818	65	13	negligible	negligible	ADJ
ap-3818	65	14	,	,	PUNCT
ap-3818	65	15	τc	τc	ADV
ap-3818	65	16	→	→	SYM
ap-3818	65	17	0	0	NUM
ap-3818	65	18	,	,	PUNCT
ap-3818	65	19	and	and	CCONJ
ap-3818	65	20	the	the	DET
ap-3818	65	21	initial	initial	ADJ
ap-3818	65	22	current	current	NOUN
ap-3818	65	23	damps	damp	VERB
ap-3818	65	24	off	off	ADP
ap-3818	65	25	instantaneously	instantaneously	ADV
ap-3818	65	26	.	.	PUNCT
ap-3818	66	1	in	in	ADP
ap-3818	66	2	this	this	DET
ap-3818	66	3	case	case	NOUN
ap-3818	66	4	,	,	PUNCT
ap-3818	66	5	(	(	PUNCT
ap-3818	66	6	2	2	X
ap-3818	66	7	)	)	PUNCT
ap-3818	66	8	recovers	recover	VERB
ap-3818	66	9	the	the	DET
ap-3818	66	10	more	more	ADV
ap-3818	66	11	usual	usual	ADJ
ap-3818	66	12	form	form	NOUN
ap-3818	66	13	of	of	ADP
ap-3818	66	14	ohm	ohm	NOUN
ap-3818	66	15	’s	’s	PART
ap-3818	66	16	law	law	NOUN
ap-3818	66	17	,	,	PUNCT
ap-3818	66	18	~e	~e	PUNCT
ap-3818	67	1	+	+	CCONJ
ap-3818	67	2	~v	~v	NUM
ap-3818	67	3	×	×	NOUN
ap-3818	67	4	~b	~b	X
ap-3818	67	5	=	=	SYM
ap-3818	67	6	η	η	PROPN
ap-3818	67	7	~j	~j	PROPN
ap-3818	67	8	.	.	PUNCT
ap-3818	68	1	equations	equation	NOUN
ap-3818	68	2	(	(	PUNCT
ap-3818	68	3	1	1	X
ap-3818	68	4	)	)	PUNCT
ap-3818	68	5	imply	imply	ADV
ap-3818	68	6	~v	~v	NUM
ap-3818	68	7	×	×	NOUN
ap-3818	68	8	~b	~b	PUNCT
ap-3818	68	9	=	=	SYM
ap-3818	68	10	−ẑ	−ẑ	NUM
ap-3818	68	11	~v	~v	NUM
ap-3818	68	12	·	·	PUNCT
ap-3818	68	13	∇ψ−	∇ψ−	PROPN
ap-3818	68	14	ẑ×	ẑ×	PROPN
ap-3818	68	15	~v	~v	NUM
ap-3818	68	16	b‖0	b‖0	PROPN
ap-3818	68	17	.	.	PUNCT
ap-3818	69	1	now	now	ADV
ap-3818	69	2	,	,	PUNCT
ap-3818	69	3	by	by	ADP
ap-3818	69	4	combining	combine	VERB
ap-3818	69	5	the	the	DET
ap-3818	69	6	first	first	ADJ
ap-3818	69	7	of	of	ADP
ap-3818	69	8	(	(	PUNCT
ap-3818	69	9	1	1	NUM
ap-3818	69	10	)	)	PUNCT
ap-3818	69	11	with	with	ADP
ap-3818	69	12	the	the	DET
ap-3818	69	13	faraday	faraday	NOUN
ap-3818	69	14	and	and	CCONJ
ap-3818	69	15	ampère	ampère	NOUN
ap-3818	69	16	laws	law	NOUN
ap-3818	69	17	(	(	PUNCT
ap-3818	69	18	the	the	DET
ap-3818	69	19	displacement	displacement	ADJ
ap-3818	69	20	current	current	NOUN
ap-3818	69	21	is	be	AUX
ap-3818	69	22	neglected	neglect	VERB
ap-3818	69	23	in	in	ADP
ap-3818	69	24	the	the	DET
ap-3818	69	25	ampère	ampère	NOUN
ap-3818	69	26	-	-	PUNCT
ap-3818	69	27	maxwell	maxwell	NOUN
ap-3818	69	28	law	law	NOUN
ap-3818	69	29	:	:	PUNCT
ap-3818	69	30	the	the	DET
ap-3818	69	31	hydromagnetic	hydromagnetic	ADJ
ap-3818	69	32	approximation	approximation	NOUN
ap-3818	69	33	)	)	PUNCT
ap-3818	69	34	,	,	PUNCT
ap-3818	69	35	we	we	PRON
ap-3818	69	36	obtain	obtain	VERB
ap-3818	69	37	~e	~e	PUNCT
ap-3818	69	38	=	=	SYM
ap-3818	69	39	−∇χ−	−∇χ−	NUM
ap-3818	69	40	ẑ	ẑ	NUM
ap-3818	69	41	∂ψ	∂ψ	PROPN
ap-3818	70	1	∂t	∂t	PROPN
ap-3818	70	2	,	,	PUNCT
ap-3818	70	3	~j	~j	X
ap-3818	70	4	=	=	PUNCT
ap-3818	70	5	−ẑ∇	−ẑ∇	X
ap-3818	70	6	2ψ	2ψ	NUM
ap-3818	70	7	µ0	µ0	NOUN
ap-3818	70	8	,	,	PUNCT
ap-3818	70	9	(	(	PUNCT
ap-3818	70	10	3	3	X
ap-3818	70	11	)	)	PUNCT
ap-3818	70	12	where	where	SCONJ
ap-3818	70	13	χ	χ	NOUN
ap-3818	70	14	and	and	CCONJ
ap-3818	70	15	µ0	µ0	NOUN
ap-3818	70	16	are	be	AUX
ap-3818	70	17	the	the	DET
ap-3818	70	18	electric	electric	ADJ
ap-3818	70	19	potential	potential	NOUN
ap-3818	70	20	and	and	CCONJ
ap-3818	70	21	vacuum	vacuum	NOUN
ap-3818	70	22	magnetic	magnetic	ADJ
ap-3818	70	23	permeability	permeability	NOUN
ap-3818	70	24	(	(	PUNCT
ap-3818	70	25	a	a	DET
ap-3818	70	26	diamagnetic	diamagnetic	ADJ
ap-3818	70	27	plasma	plasma	NOUN
ap-3818	70	28	is	be	AUX
ap-3818	70	29	assumed	assume	VERB
ap-3818	70	30	)	)	PUNCT
ap-3818	70	31	,	,	PUNCT
ap-3818	70	32	respectively	respectively	ADV
ap-3818	70	33	.	.	PUNCT
ap-3818	71	1	by	by	ADP
ap-3818	71	2	substituting	substitute	VERB
ap-3818	71	3	the	the	DET
ap-3818	71	4	expanded	expand	VERB
ap-3818	71	5	~v	~v	X
ap-3818	71	6	×	×	NOUN
ap-3818	71	7	~b	~b	PUNCT
ap-3818	71	8	and	and	CCONJ
ap-3818	71	9	(	(	PUNCT
ap-3818	71	10	3	3	X
ap-3818	71	11	)	)	PUNCT
ap-3818	71	12	in	in	ADP
ap-3818	71	13	(	(	PUNCT
ap-3818	71	14	2	2	NUM
ap-3818	71	15	)	)	PUNCT
ap-3818	71	16	,	,	PUNCT
ap-3818	71	17	the	the	DET
ap-3818	71	18	z	z	NOUN
ap-3818	71	19	-	-	PUNCT
ap-3818	71	20	component	component	NOUN
ap-3818	71	21	of	of	ADP
ap-3818	71	22	the	the	DET
ap-3818	71	23	latter	latter	NOUN
ap-3818	71	24	provides	provide	VERB
ap-3818	71	25	an	an	DET
ap-3818	71	26	expression	expression	NOUN
ap-3818	71	27	for	for	ADP
ap-3818	71	28	the	the	DET
ap-3818	71	29	time	time	NOUN
ap-3818	71	30	evolution	evolution	NOUN
ap-3818	71	31	of	of	ADP
ap-3818	71	32	the	the	DET
ap-3818	71	33	magnetic	magnetic	ADJ
ap-3818	71	34	flux	flux	NOUN
ap-3818	71	35	,	,	PUNCT
ap-3818	71	36	ẑ	ẑ	PROPN
ap-3818	71	37	·	·	PUNCT
ap-3818	71	38	∇χ+	∇χ+	PROPN
ap-3818	71	39	(	(	PUNCT
ap-3818	71	40	∂	∂	NUM
ap-3818	71	41	∂t	∂t	NOUN
ap-3818	71	42	+	+	CCONJ
ap-3818	71	43	~v	~v	NUM
ap-3818	71	44	·	·	SYM
ap-3818	71	45	∇	∇	X
ap-3818	71	46	)	)	PUNCT
ap-3818	71	47	ψ	ψ	X
ap-3818	71	48	=	=	SYM
ap-3818	71	49	η	η	PROPN
ap-3818	71	50	µ0	µ0	PROPN
ap-3818	71	51	(	(	PUNCT
ap-3818	71	52	1	1	NUM
ap-3818	71	53	+	+	CCONJ
ap-3818	71	54	τc	τc	PRON
ap-3818	71	55	∂	∂	ADV
ap-3818	71	56	∂t	∂t	PROPN
ap-3818	71	57	)	)	PUNCT
ap-3818	71	58	∇2ψ	∇2ψ	PROPN
ap-3818	71	59	.	.	PUNCT
ap-3818	72	1	(	(	PUNCT
ap-3818	72	2	4	4	X
ap-3818	72	3	)	)	PUNCT
ap-3818	72	4	we	we	PRON
ap-3818	72	5	seek	seek	VERB
ap-3818	72	6	an	an	DET
ap-3818	72	7	expression	expression	NOUN
ap-3818	72	8	for	for	ADP
ap-3818	72	9	the	the	DET
ap-3818	72	10	time	time	NOUN
ap-3818	72	11	evolution	evolution	NOUN
ap-3818	72	12	of	of	ADP
ap-3818	72	13	the	the	DET
ap-3818	72	14	flow	flow	NOUN
ap-3818	72	15	flux	flux	NOUN
ap-3818	72	16	.	.	PUNCT
ap-3818	73	1	therefore	therefore	ADV
ap-3818	73	2	,	,	PUNCT
ap-3818	73	3	we	we	PRON
ap-3818	73	4	consider	consider	VERB
ap-3818	73	5	euler	euler	NOUN
ap-3818	73	6	’s	’s	PART
ap-3818	73	7	equation	equation	NOUN
ap-3818	73	8	(	(	PUNCT
ap-3818	73	9	an	an	DET
ap-3818	73	10	inviscid	inviscid	ADJ
ap-3818	73	11	fluid	fluid	NOUN
ap-3818	73	12	is	be	AUX
ap-3818	73	13	assumed	assume	VERB
ap-3818	73	14	)	)	PUNCT
ap-3818	73	15	,	,	PUNCT
ap-3818	73	16	(	(	PUNCT
ap-3818	73	17	∂	∂	X
ap-3818	73	18	∂t	∂t	NOUN
ap-3818	73	19	+	+	CCONJ
ap-3818	73	20	~v	~v	NUM
ap-3818	73	21	·	·	SYM
ap-3818	73	22	∇	∇	X
ap-3818	73	23	)	)	PUNCT
ap-3818	73	24	~v	~v	PUNCT
ap-3818	73	25	=	=	PUNCT
ap-3818	73	26	−∇p	−∇p	NOUN
ap-3818	73	27	+	+	CCONJ
ap-3818	73	28	~j	~j	NUM
ap-3818	73	29	×	×	NOUN
ap-3818	73	30	~b	~b	PUNCT
ap-3818	73	31	ρ0	ρ0	PROPN
ap-3818	73	32	,	,	PUNCT
ap-3818	73	33	(	(	PUNCT
ap-3818	73	34	5	5	NUM
ap-3818	73	35	)	)	PUNCT
ap-3818	73	36	where	where	SCONJ
ap-3818	73	37	p	p	NOUN
ap-3818	73	38	and	and	CCONJ
ap-3818	73	39	ρ0	ρ0	PROPN
ap-3818	73	40	are	be	AUX
ap-3818	73	41	the	the	DET
ap-3818	73	42	hydrodynamic	hydrodynamic	ADJ
ap-3818	73	43	pressure	pressure	NOUN
ap-3818	73	44	and	and	CCONJ
ap-3818	73	45	(	(	PUNCT
ap-3818	73	46	constant	constant	ADJ
ap-3818	73	47	and	and	CCONJ
ap-3818	73	48	uniform	uniform	ADJ
ap-3818	73	49	)	)	PUNCT
ap-3818	73	50	mass	mass	NOUN
ap-3818	73	51	density	density	NOUN
ap-3818	73	52	,	,	PUNCT
ap-3818	73	53	respectively	respectively	ADV
ap-3818	73	54	.	.	PUNCT
ap-3818	74	1	by	by	ADP
ap-3818	74	2	taking	take	VERB
ap-3818	74	3	the	the	DET
ap-3818	74	4	curl	curl	NOUN
ap-3818	74	5	of	of	ADP
ap-3818	74	6	the	the	DET
ap-3818	74	7	relevant	relevant	ADJ
ap-3818	74	8	terms	term	NOUN
ap-3818	74	9	in	in	ADP
ap-3818	74	10	(	(	PUNCT
ap-3818	74	11	5	5	NUM
ap-3818	74	12	)	)	PUNCT
ap-3818	74	13	(	(	PUNCT
ap-3818	74	14	of	of	ADP
ap-3818	74	15	course	course	NOUN
ap-3818	74	16	,	,	PUNCT
ap-3818	74	17	∇×∇p	∇×∇p	PROPN
ap-3818	74	18	=	=	SYM
ap-3818	74	19	0	0	NUM
ap-3818	74	20	)	)	PUNCT
ap-3818	74	21	,	,	PUNCT
ap-3818	74	22	we	we	PRON
ap-3818	74	23	obtain	obtain	VERB
ap-3818	74	24	∇×	∇×	NOUN
ap-3818	74	25	(	(	PUNCT
ap-3818	74	26	∂	∂	NUM
ap-3818	74	27	∂t	∂t	PROPN
ap-3818	74	28	+	+	CCONJ
ap-3818	74	29	~v	~v	NUM
ap-3818	74	30	·	·	SYM
ap-3818	74	31	∇	∇	X
ap-3818	74	32	)	)	PUNCT
ap-3818	74	33	~v	~v	PUNCT
ap-3818	75	1	=	=	SYM
ap-3818	75	2	−ẑ	−ẑ	SYM
ap-3818	75	3	(	(	PUNCT
ap-3818	75	4	∂	∂	X
ap-3818	75	5	∂t	∂t	PROPN
ap-3818	75	6	+	+	CCONJ
ap-3818	75	7	~v	~v	NUM
ap-3818	75	8	·	·	SYM
ap-3818	75	9	∇	∇	X
ap-3818	75	10	)	)	PUNCT
ap-3818	75	11	∇2φ	∇2φ	PROPN
ap-3818	75	12	,	,	PUNCT
ap-3818	75	13	∇×	∇×	NOUN
ap-3818	75	14	(	(	PUNCT
ap-3818	75	15	~j	~j	NUM
ap-3818	75	16	×	×	NOUN
ap-3818	75	17	~b	~b	NUM
ap-3818	75	18	)	)	PUNCT
ap-3818	75	19	=	=	PUNCT
ap-3818	76	1	−∇(∇2ψ)×∇ψ	−∇(∇2ψ)×∇ψ	ADJ
ap-3818	76	2	µ0	µ0	NOUN
ap-3818	76	3	,	,	PUNCT
ap-3818	76	4	(	(	PUNCT
ap-3818	76	5	6	6	NUM
ap-3818	76	6	)	)	PUNCT
ap-3818	76	7	where	where	SCONJ
ap-3818	76	8	,	,	PUNCT
ap-3818	76	9	again	again	ADV
ap-3818	76	10	,	,	PUNCT
ap-3818	76	11	we	we	PRON
ap-3818	76	12	use	use	VERB
ap-3818	76	13	(	(	PUNCT
ap-3818	76	14	1	1	NUM
ap-3818	76	15	)	)	PUNCT
ap-3818	76	16	and	and	CCONJ
ap-3818	76	17	ampère	ampère	NOUN
ap-3818	76	18	’s	’s	PART
ap-3818	76	19	law	law	NOUN
ap-3818	76	20	.	.	PUNCT
ap-3818	77	1	finally	finally	ADV
ap-3818	77	2	,	,	PUNCT
ap-3818	77	3	by	by	ADP
ap-3818	77	4	combining	combine	VERB
ap-3818	77	5	the	the	DET
ap-3818	77	6	z	z	NOUN
ap-3818	77	7	-	-	PUNCT
ap-3818	77	8	components	component	NOUN
ap-3818	77	9	of	of	ADP
ap-3818	77	10	(	(	PUNCT
ap-3818	77	11	5	5	NUM
ap-3818	77	12	)	)	PUNCT
ap-3818	77	13	and	and	CCONJ
ap-3818	77	14	(	(	PUNCT
ap-3818	77	15	6	6	NUM
ap-3818	77	16	)	)	PUNCT
ap-3818	77	17	,	,	PUNCT
ap-3818	77	18	we	we	PRON
ap-3818	77	19	arrive	arrive	VERB
ap-3818	77	20	at	at	ADP
ap-3818	77	21	the	the	DET
ap-3818	77	22	sought	seek	VERB
ap-3818	77	23	expression	expression	NOUN
ap-3818	77	24	,	,	PUNCT
ap-3818	77	25	(	(	PUNCT
ap-3818	77	26	∂	∂	X
ap-3818	77	27	∂t	∂t	NOUN
ap-3818	77	28	+	+	CCONJ
ap-3818	77	29	~v	~v	NUM
ap-3818	77	30	·	·	PUNCT
ap-3818	77	31	∇	∇	X
ap-3818	77	32	)	)	PUNCT
ap-3818	77	33	∇2φ	∇2φ	PROPN
ap-3818	78	1	=	=	SYM
ap-3818	78	2	ẑ	ẑ	NUM
ap-3818	78	3	·	·	PUNCT
ap-3818	78	4	∇(∇2ψ)×∇ψ	∇(∇2ψ)×∇ψ	PROPN
ap-3818	78	5	µ0ρ0	µ0ρ0	X
ap-3818	78	6	.	.	PUNCT
ap-3818	79	1	(	(	PUNCT
ap-3818	79	2	7	7	X
ap-3818	79	3	)	)	PUNCT
ap-3818	79	4	equations	equation	NOUN
ap-3818	79	5	(	(	PUNCT
ap-3818	79	6	4	4	NUM
ap-3818	79	7	)	)	PUNCT
ap-3818	79	8	and	and	CCONJ
ap-3818	79	9	(	(	PUNCT
ap-3818	79	10	7	7	X
ap-3818	79	11	)	)	PUNCT
ap-3818	79	12	are	be	AUX
ap-3818	79	13	the	the	DET
ap-3818	79	14	basic	basic	ADJ
ap-3818	79	15	equations	equation	NOUN
ap-3818	79	16	to	to	PART
ap-3818	79	17	be	be	AUX
ap-3818	79	18	explored	explore	VERB
ap-3818	79	19	in	in	ADP
ap-3818	79	20	this	this	DET
ap-3818	79	21	work	work	NOUN
ap-3818	79	22	.	.	PUNCT
ap-3818	80	1	let	let	VERB
ap-3818	80	2	us	we	PRON
ap-3818	80	3	assume	assume	VERB
ap-3818	80	4	that	that	SCONJ
ap-3818	80	5	the	the	DET
ap-3818	80	6	plasma	plasma	NOUN
ap-3818	80	7	is	be	AUX
ap-3818	80	8	ideal	ideal	ADJ
ap-3818	80	9	throughout	throughout	ADP
ap-3818	80	10	the	the	DET
ap-3818	80	11	whole	whole	ADJ
ap-3818	80	12	space	space	NOUN
ap-3818	80	13	,	,	PUNCT
ap-3818	80	14	except	except	SCONJ
ap-3818	80	15	in	in	ADP
ap-3818	80	16	a	a	DET
ap-3818	80	17	thin	thin	ADJ
ap-3818	80	18	slab	slab	NOUN
ap-3818	80	19	,	,	PUNCT
ap-3818	80	20	whose	whose	DET
ap-3818	80	21	electric	electric	ADJ
ap-3818	80	22	33	33	NUM
ap-3818	80	23	f.	f.	PROPN
ap-3818	80	24	e.	e.	PROPN
ap-3818	80	25	m.	m.	PROPN
ap-3818	80	26	silveira	silveira	PROPN
ap-3818	80	27	acta	acta	PROPN
ap-3818	80	28	polytechnica	polytechnica	PROPN
ap-3818	80	29	resistivity	resistivity	PROPN
ap-3818	80	30	η	η	PROPN
ap-3818	80	31	is	be	AUX
ap-3818	80	32	a	a	DET
ap-3818	80	33	very	very	ADV
ap-3818	80	34	small	small	ADJ
ap-3818	80	35	,	,	PUNCT
ap-3818	80	36	although	although	SCONJ
ap-3818	80	37	finite	finite	NOUN
ap-3818	80	38	,	,	PUNCT
ap-3818	80	39	number	number	NOUN
ap-3818	80	40	.	.	PUNCT
ap-3818	81	1	the	the	DET
ap-3818	81	2	plasma	plasma	NOUN
ap-3818	81	3	slab	slab	NOUN
ap-3818	81	4	extends	extend	VERB
ap-3818	81	5	infinitely	infinitely	ADV
ap-3818	81	6	parallel	parallel	ADJ
ap-3818	81	7	to	to	ADP
ap-3818	81	8	the	the	DET
ap-3818	81	9	yzplane	yzplane	NOUN
ap-3818	81	10	,	,	PUNCT
ap-3818	81	11	and	and	CCONJ
ap-3818	81	12	from	from	ADP
ap-3818	81	13	x	x	X
ap-3818	81	14	=	=	PUNCT
ap-3818	81	15	−a/2	−a/2	VERB
ap-3818	81	16	to	to	ADP
ap-3818	81	17	x	x	PROPN
ap-3818	81	18	=	=	PUNCT
ap-3818	81	19	+	+	NOUN
ap-3818	81	20	a/2	a/2	NOUN
ap-3818	81	21	,	,	PUNCT
ap-3818	81	22	with	with	ADP
ap-3818	81	23	a	a	DET
ap-3818	81	24	>	>	X
ap-3818	81	25	0	0	NUM
ap-3818	81	26	.	.	PUNCT
ap-3818	82	1	we	we	PRON
ap-3818	82	2	also	also	ADV
ap-3818	82	3	assume	assume	VERB
ap-3818	82	4	that	that	SCONJ
ap-3818	82	5	the	the	DET
ap-3818	82	6	plasma	plasma	NOUN
ap-3818	82	7	is	be	AUX
ap-3818	82	8	in	in	ADP
ap-3818	82	9	a	a	DET
ap-3818	82	10	static	static	ADJ
ap-3818	82	11	state	state	NOUN
ap-3818	82	12	of	of	ADP
ap-3818	82	13	equilibrium	equilibrium	NOUN
ap-3818	82	14	,	,	PUNCT
ap-3818	82	15	characterized	characterize	VERB
ap-3818	82	16	by	by	ADP
ap-3818	82	17	ψ	ψ	X
ap-3818	82	18	=	=	SYM
ap-3818	82	19	ψ(x	ψ(x	NOUN
ap-3818	82	20	)	)	PUNCT
ap-3818	82	21	and	and	CCONJ
ap-3818	82	22	φ	φ	NUM
ap-3818	82	23	=	=	SYM
ap-3818	82	24	0	0	PROPN
ap-3818	82	25	.	.	PUNCT
ap-3818	83	1	then	then	ADV
ap-3818	83	2	,	,	PUNCT
ap-3818	83	3	the	the	DET
ap-3818	83	4	first	first	ADJ
ap-3818	83	5	of	of	ADP
ap-3818	83	6	(	(	PUNCT
ap-3818	83	7	1	1	X
ap-3818	83	8	)	)	PUNCT
ap-3818	83	9	shows	show	VERB
ap-3818	83	10	that	that	SCONJ
ap-3818	83	11	the	the	DET
ap-3818	83	12	equilibrium	equilibrium	NOUN
ap-3818	83	13	magnetic	magnetic	ADJ
ap-3818	83	14	field	field	NOUN
ap-3818	83	15	~b	~b	PUNCT
ap-3818	83	16	=	=	SYM
ap-3818	83	17	ẑb‖0	ẑb‖0	NUM
ap-3818	83	18	+	+	CCONJ
ap-3818	83	19	ŷb⊥	ŷb⊥	NOUN
ap-3818	83	20	,	,	PUNCT
ap-3818	83	21	where	where	SCONJ
ap-3818	83	22	b⊥	b⊥	NOUN
ap-3818	83	23	=	=	SYM
ap-3818	83	24	−ψ′	−ψ′	X
ap-3818	83	25	,	,	PUNCT
ap-3818	83	26	with	with	ADP
ap-3818	83	27	the	the	DET
ap-3818	83	28	prime	prime	NOUN
ap-3818	83	29	standing	standing	NOUN
ap-3818	83	30	for	for	ADP
ap-3818	83	31	the	the	DET
ap-3818	83	32	derivative	derivative	NOUN
ap-3818	83	33	with	with	ADP
ap-3818	83	34	respect	respect	NOUN
ap-3818	83	35	to	to	ADP
ap-3818	83	36	x.	x.	NOUN
ap-3818	83	37	since	since	SCONJ
ap-3818	83	38	the	the	DET
ap-3818	83	39	current	current	ADJ
ap-3818	83	40	density	density	NOUN
ap-3818	83	41	is	be	AUX
ap-3818	83	42	expected	expect	VERB
ap-3818	83	43	to	to	PART
ap-3818	83	44	become	become	VERB
ap-3818	83	45	vanishingly	vanishingly	ADV
ap-3818	83	46	small	small	ADJ
ap-3818	83	47	far	far	ADV
ap-3818	83	48	away	away	ADV
ap-3818	83	49	from	from	ADP
ap-3818	83	50	the	the	DET
ap-3818	83	51	plasma	plasma	NOUN
ap-3818	83	52	slab	slab	NOUN
ap-3818	83	53	,	,	PUNCT
ap-3818	83	54	the	the	DET
ap-3818	83	55	second	second	NOUN
ap-3818	83	56	of	of	ADP
ap-3818	83	57	(	(	PUNCT
ap-3818	83	58	3	3	X
ap-3818	83	59	)	)	PUNCT
ap-3818	83	60	shows	show	VERB
ap-3818	83	61	that	that	SCONJ
ap-3818	83	62	|ψ′|	|ψ′|	ADJ
ap-3818	83	63	=	=	SYM
ap-3818	83	64	b⊥0	b⊥0	PROPN
ap-3818	83	65	,	,	PUNCT
ap-3818	83	66	a	a	DET
ap-3818	83	67	constant	constant	ADJ
ap-3818	83	68	,	,	PUNCT
ap-3818	83	69	for	for	ADP
ap-3818	83	70	|x|	|x|	PROPN
ap-3818	83	71	�	�	PROPN
ap-3818	83	72	a.	a.	PROPN
ap-3818	83	73	thus	thus	ADV
ap-3818	83	74	,	,	PUNCT
ap-3818	83	75	we	we	PRON
ap-3818	83	76	define	define	VERB
ap-3818	83	77	the	the	DET
ap-3818	83	78	alfvén	alfvén	NOUN
ap-3818	83	79	speed	speed	PROPN
ap-3818	83	80	va	va	PROPN
ap-3818	83	81	=	=	PROPN
ap-3818	83	82	b⊥0(µ0ρ0)−1/2	b⊥0(µ0ρ0)−1/2	NUM
ap-3818	83	83	and	and	CCONJ
ap-3818	83	84	time	time	NOUN
ap-3818	83	85	τa	τa	VERB
ap-3818	83	86	=	=	NOUN
ap-3818	83	87	av	av	PROPN
ap-3818	83	88	−1	−1	NOUN
ap-3818	83	89	a	a	DET
ap-3818	83	90	scales	scale	NOUN
ap-3818	83	91	.	.	PUNCT
ap-3818	84	1	hence	hence	ADV
ap-3818	84	2	,	,	PUNCT
ap-3818	84	3	we	we	PRON
ap-3818	84	4	introduce	introduce	VERB
ap-3818	84	5	the	the	DET
ap-3818	84	6	normalization	normalization	NOUN
ap-3818	84	7	t→	t→	PRON
ap-3818	84	8	τat	τat	PROPN
ap-3818	84	9	,	,	PUNCT
ap-3818	84	10	∇	∇	X
ap-3818	84	11	→	→	SYM
ap-3818	84	12	a−1∇	a−1∇	PROPN
ap-3818	84	13	,	,	PUNCT
ap-3818	84	14	ψ→	ψ→	PROPN
ap-3818	84	15	ab⊥0ψ	ab⊥0ψ	PROPN
ap-3818	84	16	,	,	PUNCT
ap-3818	84	17	φ→	φ→	VERB
ap-3818	84	18	avaφ	avaφ	ADJ
ap-3818	84	19	,	,	PUNCT
ap-3818	84	20	and	and	CCONJ
ap-3818	84	21	χ→	χ→	SYM
ap-3818	84	22	avab⊥0χ	avab⊥0χ	PROPN
ap-3818	84	23	.	.	PUNCT
ap-3818	85	1	given	give	VERB
ap-3818	85	2	the	the	DET
ap-3818	85	3	above	above	ADJ
ap-3818	85	4	considerations	consideration	NOUN
ap-3818	85	5	,	,	PUNCT
ap-3818	85	6	we	we	PRON
ap-3818	85	7	obtain	obtain	VERB
ap-3818	85	8	the	the	DET
ap-3818	85	9	dimensionless	dimensionless	NOUN
ap-3818	85	10	version	version	NOUN
ap-3818	85	11	of	of	ADP
ap-3818	85	12	(	(	PUNCT
ap-3818	85	13	4	4	NUM
ap-3818	85	14	)	)	PUNCT
ap-3818	85	15	and	and	CCONJ
ap-3818	85	16	(	(	PUNCT
ap-3818	85	17	7	7	NUM
ap-3818	85	18	)	)	PUNCT
ap-3818	85	19	,	,	PUNCT
ap-3818	85	20	ẑ	ẑ	PROPN
ap-3818	85	21	·	·	PUNCT
ap-3818	85	22	∇χ+	∇χ+	PROPN
ap-3818	85	23	(	(	PUNCT
ap-3818	85	24	∂	∂	NUM
ap-3818	85	25	∂t	∂t	NOUN
ap-3818	85	26	+	+	CCONJ
ap-3818	85	27	~v	~v	NUM
ap-3818	85	28	·	·	SYM
ap-3818	85	29	∇	∇	X
ap-3818	85	30	)	)	PUNCT
ap-3818	85	31	ψ	ψ	NOUN
ap-3818	86	1	=	=	X
ap-3818	86	2	τa	τa	VERB
ap-3818	86	3	τd	τd	ADV
ap-3818	86	4	(	(	PUNCT
ap-3818	86	5	1	1	X
ap-3818	86	6	+	+	CCONJ
ap-3818	86	7	τc	τc	NOUN
ap-3818	86	8	τa	τa	PRON
ap-3818	86	9	∂	∂	PROPN
ap-3818	86	10	∂t	∂t	PROPN
ap-3818	86	11	)	)	PUNCT
ap-3818	86	12	∇2ψ	∇2ψ	PROPN
ap-3818	86	13	,	,	PUNCT
ap-3818	86	14	(	(	PUNCT
ap-3818	86	15	∂	∂	X
ap-3818	86	16	∂t	∂t	NOUN
ap-3818	86	17	+	+	CCONJ
ap-3818	86	18	~v	~v	NUM
ap-3818	86	19	·	·	PUNCT
ap-3818	86	20	∇	∇	X
ap-3818	86	21	)	)	PUNCT
ap-3818	86	22	∇2φ	∇2φ	PROPN
ap-3818	87	1	=	=	SYM
ap-3818	87	2	ẑ	ẑ	X
ap-3818	87	3	·	·	PUNCT
ap-3818	87	4	∇	∇	X
ap-3818	87	5	(	(	PUNCT
ap-3818	87	6	∇2ψ	∇2ψ	PROPN
ap-3818	87	7	)	)	PUNCT
ap-3818	87	8	×∇ψ	×∇ψ	PROPN
ap-3818	87	9	,	,	PUNCT
ap-3818	87	10	(	(	PUNCT
ap-3818	87	11	8)	8)	NUM
ap-3818	87	12	respectively	respectively	ADV
ap-3818	87	13	,	,	PUNCT
ap-3818	87	14	where	where	SCONJ
ap-3818	87	15	we	we	PRON
ap-3818	87	16	have	have	AUX
ap-3818	87	17	included	include	VERB
ap-3818	87	18	the	the	DET
ap-3818	87	19	resistive	resistive	ADJ
ap-3818	87	20	diffusion	diffusion	NOUN
ap-3818	87	21	time	time	NOUN
ap-3818	87	22	scale	scale	NOUN
ap-3818	87	23	τd	τd	ADP
ap-3818	87	24	=	=	PUNCT
ap-3818	87	25	a2µ0η	a2µ0η	PUNCT
ap-3818	87	26	−1	−1	NOUN
ap-3818	87	27	.	.	PUNCT
ap-3818	88	1	equations	equation	NOUN
ap-3818	88	2	(	(	PUNCT
ap-3818	88	3	8)	8)	NUM
ap-3818	88	4	show	show	VERB
ap-3818	88	5	that	that	SCONJ
ap-3818	88	6	the	the	DET
ap-3818	88	7	equilibrium	equilibrium	NOUN
ap-3818	88	8	condition	condition	NOUN
ap-3818	88	9	for	for	ADP
ap-3818	88	10	the	the	DET
ap-3818	88	11	static	static	ADJ
ap-3818	88	12	state	state	NOUN
ap-3818	88	13	can	can	AUX
ap-3818	88	14	be	be	AUX
ap-3818	88	15	read	read	VERB
ap-3818	88	16	as	as	ADP
ap-3818	88	17	ẑ	ẑ	PROPN
ap-3818	88	18	·	·	PUNCT
ap-3818	88	19	∇χ	∇χ	PROPN
ap-3818	88	20	=	=	SYM
ap-3818	88	21	τaτ	τaτ	NOUN
ap-3818	88	22	−1	−1	NOUN
ap-3818	88	23	d	d	X
ap-3818	88	24	ψ′′.	ψ′′.	PROPN
ap-3818	88	25	about	about	ADP
ap-3818	88	26	the	the	DET
ap-3818	88	27	static	static	ADJ
ap-3818	88	28	state	state	NOUN
ap-3818	88	29	of	of	ADP
ap-3818	88	30	equilibrium	equilibrium	NOUN
ap-3818	88	31	,	,	PUNCT
ap-3818	88	32	we	we	PRON
ap-3818	88	33	assume	assume	VERB
ap-3818	88	34	that	that	SCONJ
ap-3818	88	35	the	the	DET
ap-3818	88	36	magnetic	magnetic	ADJ
ap-3818	88	37	and	and	CCONJ
ap-3818	88	38	flow	flow	NOUN
ap-3818	88	39	fluxes	flux	NOUN
ap-3818	88	40	are	be	AUX
ap-3818	88	41	slightly	slightly	ADV
ap-3818	88	42	perturbed	perturb	VERB
ap-3818	88	43	in	in	ADP
ap-3818	88	44	the	the	DET
ap-3818	88	45	form	form	NOUN
ap-3818	88	46	ψ(x	ψ(x	PROPN
ap-3818	88	47	,	,	PUNCT
ap-3818	88	48	y	y	PROPN
ap-3818	88	49	;	;	PUNCT
ap-3818	88	50	t	t	PROPN
ap-3818	88	51	)	)	PUNCT
ap-3818	89	1	=	=	NOUN
ap-3818	89	2	ψ(x)+ψ(x	ψ(x)+ψ(x	NOUN
ap-3818	89	3	,	,	PUNCT
ap-3818	89	4	y)eγt	y)eγt	PROPN
ap-3818	89	5	and	and	CCONJ
ap-3818	89	6	φ(x	φ(x	PROPN
ap-3818	89	7	,	,	PUNCT
ap-3818	89	8	y	y	PROPN
ap-3818	89	9	;	;	PUNCT
ap-3818	89	10	t	t	PROPN
ap-3818	89	11	)	)	PUNCT
ap-3818	89	12	=	=	SYM
ap-3818	89	13	φ(x	φ(x	PROPN
ap-3818	89	14	,	,	PUNCT
ap-3818	89	15	y)eγt	y)eγt	PROPN
ap-3818	89	16	,	,	PUNCT
ap-3818	89	17	respectively	respectively	ADV
ap-3818	89	18	,	,	PUNCT
ap-3818	89	19	where	where	SCONJ
ap-3818	89	20	γ	γ	PROPN
ap-3818	89	21	is	be	AUX
ap-3818	89	22	a	a	DET
ap-3818	89	23	(	(	PUNCT
ap-3818	89	24	dimensionless	dimensionless	NOUN
ap-3818	89	25	)	)	PUNCT
ap-3818	89	26	time	time	NOUN
ap-3818	89	27	rate	rate	NOUN
ap-3818	89	28	.	.	PUNCT
ap-3818	90	1	by	by	ADP
ap-3818	90	2	"	"	PUNCT
ap-3818	90	3	slightly	slightly	ADV
ap-3818	90	4	perturbed	perturb	VERB
ap-3818	90	5	"	"	PUNCT
ap-3818	90	6	,	,	PUNCT
ap-3818	90	7	we	we	PRON
ap-3818	90	8	mean	mean	VERB
ap-3818	90	9	that	that	SCONJ
ap-3818	90	10	|φ|	|φ|	PROPN
ap-3818	90	11	∼	∼	NOUN
ap-3818	90	12	|ψ|	|ψ|	PROPN
ap-3818	90	13	�	�	PROPN
ap-3818	90	14	|ψ|	|ψ|	PROPN
ap-3818	90	15	(	(	PUNCT
ap-3818	90	16	recall	recall	VERB
ap-3818	90	17	that	that	SCONJ
ap-3818	90	18	the	the	DET
ap-3818	90	19	equilibrium	equilibrium	NOUN
ap-3818	90	20	φ	φ	NOUN
ap-3818	90	21	=	=	SYM
ap-3818	90	22	0	0	NUM
ap-3818	90	23	)	)	PUNCT
ap-3818	90	24	.	.	PUNCT
ap-3818	91	1	then	then	ADV
ap-3818	91	2	,	,	PUNCT
ap-3818	91	3	by	by	ADP
ap-3818	91	4	retaining	retain	VERB
ap-3818	91	5	only	only	ADJ
ap-3818	91	6	terms	term	NOUN
ap-3818	91	7	proportional	proportional	ADJ
ap-3818	91	8	to	to	ADP
ap-3818	91	9	ψ	ψ	PROPN
ap-3818	91	10	and	and	CCONJ
ap-3818	91	11	φ	φ	NUM
ap-3818	91	12	,	,	PUNCT
ap-3818	91	13	and	and	CCONJ
ap-3818	91	14	to	to	ADP
ap-3818	91	15	their	their	PRON
ap-3818	91	16	derivatives	derivative	NOUN
ap-3818	91	17	,	,	PUNCT
ap-3818	91	18	(	(	PUNCT
ap-3818	91	19	8)	8)	NUM
ap-3818	91	20	lead	lead	NOUN
ap-3818	91	21	to	to	ADP
ap-3818	91	22	the	the	DET
ap-3818	91	23	linear	linear	ADJ
ap-3818	91	24	perturbed	perturb	VERB
ap-3818	91	25	equations	equation	NOUN
ap-3818	91	26	(	(	PUNCT
ap-3818	91	27	of	of	ADP
ap-3818	91	28	course	course	NOUN
ap-3818	91	29	,	,	PUNCT
ap-3818	91	30	any	any	DET
ap-3818	91	31	possible	possible	ADJ
ap-3818	91	32	perturbation	perturbation	NOUN
ap-3818	91	33	on	on	ADP
ap-3818	91	34	χ	χ	X
ap-3818	91	35	is	be	AUX
ap-3818	91	36	also	also	ADV
ap-3818	91	37	assumed	assume	VERB
ap-3818	91	38	to	to	PART
ap-3818	91	39	depend	depend	VERB
ap-3818	91	40	only	only	ADV
ap-3818	91	41	on	on	ADP
ap-3818	91	42	x	x	PROPN
ap-3818	91	43	,	,	PUNCT
ap-3818	91	44	y	y	PROPN
ap-3818	91	45	,	,	PUNCT
ap-3818	91	46	and	and	CCONJ
ap-3818	91	47	t	t	X
ap-3818	91	48	)	)	PUNCT
ap-3818	91	49	γψ	γψ	ADV
ap-3818	92	1	+	+	CCONJ
ap-3818	92	2	ψ′	ψ′	VERB
ap-3818	92	3	∂φ	∂φ	PROPN
ap-3818	92	4	∂y	∂y	X
ap-3818	92	5	=	=	PUNCT
ap-3818	92	6	τa	τa	VERB
ap-3818	92	7	τd	τd	ADV
ap-3818	92	8	(	(	PUNCT
ap-3818	92	9	1	1	NUM
ap-3818	92	10	+	+	CCONJ
ap-3818	92	11	γ	γ	X
ap-3818	92	12	τc	τc	ADV
ap-3818	92	13	τa	τa	ADJ
ap-3818	92	14	)	)	PUNCT
ap-3818	92	15	∇2ψ	∇2ψ	PROPN
ap-3818	92	16	,	,	PUNCT
ap-3818	92	17	γ∇2φ	γ∇2φ	PROPN
ap-3818	92	18	=	=	SYM
ap-3818	92	19	(	(	PUNCT
ap-3818	92	20	ψ′′′	ψ′′′	PROPN
ap-3818	92	21	−ψ′∇2)∂ψ	−ψ′∇2)∂ψ	X
ap-3818	92	22	∂y	∂y	X
ap-3818	92	23	,	,	PUNCT
ap-3818	92	24	(	(	PUNCT
ap-3818	92	25	9	9	X
ap-3818	92	26	)	)	PUNCT
ap-3818	92	27	respectively	respectively	ADV
ap-3818	92	28	.	.	PUNCT
ap-3818	93	1	since	since	SCONJ
ap-3818	93	2	the	the	DET
ap-3818	93	3	equilibrium	equilibrium	NOUN
ap-3818	93	4	magnetic	magnetic	ADJ
ap-3818	93	5	flux	flux	NOUN
ap-3818	93	6	depends	depend	VERB
ap-3818	93	7	only	only	ADV
ap-3818	93	8	on	on	ADP
ap-3818	93	9	the	the	DET
ap-3818	93	10	x	x	NOUN
ap-3818	93	11	-	-	NOUN
ap-3818	93	12	coordinate	coordinate	NOUN
ap-3818	93	13	,	,	PUNCT
ap-3818	93	14	the	the	DET
ap-3818	93	15	perturbative	perturbative	ADJ
ap-3818	93	16	functions	function	NOUN
ap-3818	93	17	can	can	AUX
ap-3818	93	18	be	be	AUX
ap-3818	93	19	fourier	fourier	ADV
ap-3818	93	20	decomposed	decompose	VERB
ap-3818	93	21	in	in	ADP
ap-3818	93	22	the	the	DET
ap-3818	93	23	y	y	NOUN
ap-3818	93	24	-	-	PUNCT
ap-3818	93	25	coordinate	coordinate	NOUN
ap-3818	93	26	.	.	PUNCT
ap-3818	94	1	a	a	DET
ap-3818	94	2	careful	careful	ADJ
ap-3818	94	3	inspection	inspection	NOUN
ap-3818	94	4	of	of	ADP
ap-3818	94	5	(	(	PUNCT
ap-3818	94	6	9	9	NUM
ap-3818	94	7	)	)	PUNCT
ap-3818	94	8	reveals	reveal	VERB
ap-3818	94	9	that	that	SCONJ
ap-3818	94	10	ψ	ψ	X
ap-3818	94	11	and	and	CCONJ
ap-3818	94	12	φ	φ	PROPN
ap-3818	94	13	exhibit	exhibit	VERB
ap-3818	94	14	opposite	opposite	ADJ
ap-3818	94	15	parities	parity	NOUN
ap-3818	94	16	with	with	ADP
ap-3818	94	17	respect	respect	NOUN
ap-3818	94	18	to	to	ADP
ap-3818	94	19	y.	y.	PROPN
ap-3818	94	20	thus	thus	ADV
ap-3818	94	21	,	,	PUNCT
ap-3818	94	22	we	we	PRON
ap-3818	94	23	choose	choose	VERB
ap-3818	94	24	to	to	PART
ap-3818	94	25	fourier	fourier	NOUN
ap-3818	94	26	decompose	decompose	VERB
ap-3818	94	27	the	the	DET
ap-3818	94	28	perturbative	perturbative	ADJ
ap-3818	94	29	functions	function	NOUN
ap-3818	94	30	in	in	ADP
ap-3818	94	31	the	the	DET
ap-3818	94	32	form	form	NOUN
ap-3818	94	33	ψ(x	ψ(x	PROPN
ap-3818	94	34	,	,	PUNCT
ap-3818	94	35	y	y	NOUN
ap-3818	94	36	)	)	PUNCT
ap-3818	94	37	=	=	SYM
ap-3818	94	38	ψ(x	ψ(x	NOUN
ap-3818	94	39	)	)	PUNCT
ap-3818	94	40	cos(ky	cos(ky	NOUN
ap-3818	94	41	)	)	PUNCT
ap-3818	94	42	and	and	CCONJ
ap-3818	94	43	φ(x	φ(x	PROPN
ap-3818	94	44	,	,	PUNCT
ap-3818	94	45	y	y	NOUN
ap-3818	94	46	)	)	PUNCT
ap-3818	94	47	=	=	SYM
ap-3818	94	48	φ(x	φ(x	NOUN
ap-3818	94	49	)	)	PUNCT
ap-3818	94	50	sin(ky	sin(ky	NOUN
ap-3818	94	51	)	)	PUNCT
ap-3818	94	52	,	,	PUNCT
ap-3818	94	53	where	where	SCONJ
ap-3818	94	54	k	k	PROPN
ap-3818	94	55	is	be	AUX
ap-3818	94	56	a	a	DET
ap-3818	94	57	(	(	PUNCT
ap-3818	94	58	dimensionless	dimensionless	NOUN
ap-3818	94	59	)	)	PUNCT
ap-3818	94	60	wavenumber	wavenumber	NOUN
ap-3818	94	61	.	.	PUNCT
ap-3818	95	1	with	with	ADP
ap-3818	95	2	this	this	DET
ap-3818	95	3	choice	choice	NOUN
ap-3818	95	4	,	,	PUNCT
ap-3818	95	5	(	(	PUNCT
ap-3818	95	6	9	9	X
ap-3818	95	7	)	)	PUNCT
ap-3818	95	8	become	become	VERB
ap-3818	95	9	γψ	γψ	ADP
ap-3818	95	10	+	+	CCONJ
ap-3818	95	11	kψ′φ	kψ′φ	NOUN
ap-3818	95	12	=	=	PUNCT
ap-3818	95	13	τa	τa	PROPN
ap-3818	95	14	τd	τd	ADV
ap-3818	95	15	(	(	PUNCT
ap-3818	95	16	1	1	NUM
ap-3818	95	17	+	+	CCONJ
ap-3818	95	18	γ	γ	X
ap-3818	95	19	τc	τc	ADV
ap-3818	95	20	τa	τa	ADJ
ap-3818	95	21	)	)	PUNCT
ap-3818	95	22	(	(	PUNCT
ap-3818	95	23	ψ′′	ψ′′	PROPN
ap-3818	95	24	−	−	PROPN
ap-3818	95	25	k2ψ	k2ψ	NOUN
ap-3818	95	26	)	)	PUNCT
ap-3818	95	27	,	,	PUNCT
ap-3818	95	28	γ(φ′′	γ(φ′′	ADJ
ap-3818	95	29	−	−	NOUN
ap-3818	95	30	k2φ	k2φ	NOUN
ap-3818	95	31	)	)	PUNCT
ap-3818	95	32	=	=	SYM
ap-3818	95	33	−k	−k	PROPN
ap-3818	95	34	(	(	PUNCT
ap-3818	95	35	ψ′′′ψ	ψ′′′ψ	X
ap-3818	95	36	−ψ′(ψ′′	−ψ′(ψ′′	NUM
ap-3818	95	37	−	−	NUM
ap-3818	95	38	k2ψ	k2ψ	NOUN
ap-3818	95	39	)	)	PUNCT
ap-3818	95	40	)	)	PUNCT
ap-3818	95	41	,	,	PUNCT
ap-3818	95	42	(	(	PUNCT
ap-3818	95	43	10	10	NUM
ap-3818	95	44	)	)	PUNCT
ap-3818	95	45	respectively	respectively	ADV
ap-3818	95	46	.	.	PUNCT
ap-3818	96	1	2.1	2.1	NUM
ap-3818	96	2	.	.	PUNCT
ap-3818	96	3	solutions	solution	NOUN
ap-3818	96	4	in	in	ADP
ap-3818	96	5	the	the	DET
ap-3818	96	6	ideal	ideal	ADJ
ap-3818	96	7	and	and	CCONJ
ap-3818	96	8	resistive	resistive	ADJ
ap-3818	96	9	regions	region	NOUN
ap-3818	96	10	in	in	ADP
ap-3818	96	11	the	the	DET
ap-3818	96	12	ideal	ideal	ADJ
ap-3818	96	13	region	region	NOUN
ap-3818	96	14	,	,	PUNCT
ap-3818	96	15	η	η	PROPN
ap-3818	96	16	→	→	SYM
ap-3818	96	17	0	0	PROPN
ap-3818	96	18	and	and	CCONJ
ap-3818	96	19	,	,	PUNCT
ap-3818	96	20	according	accord	VERB
ap-3818	96	21	to	to	ADP
ap-3818	96	22	the	the	DET
ap-3818	96	23	first	first	ADJ
ap-3818	96	24	of	of	ADP
ap-3818	96	25	(	(	PUNCT
ap-3818	96	26	10	10	NUM
ap-3818	96	27	)	)	PUNCT
ap-3818	96	28	,	,	PUNCT
ap-3818	96	29	φ	φ	PROPN
ap-3818	96	30	is	be	AUX
ap-3818	96	31	given	give	VERB
ap-3818	96	32	by	by	ADP
ap-3818	96	33	φ	φ	PROPN
ap-3818	96	34	=	=	SYM
ap-3818	96	35	γ	γ	X
ap-3818	96	36	kψ′	kψ′	X
ap-3818	96	37	(	(	PUNCT
ap-3818	96	38	(	(	PUNCT
ap-3818	96	39	δe	δe	ADP
ap-3818	96	40	a	a	PRON
ap-3818	96	41	)	)	PUNCT
ap-3818	96	42	2	2	NUM
ap-3818	96	43	(	(	PUNCT
ap-3818	96	44	ψ′′	ψ′′	NOUN
ap-3818	96	45	−	−	PROPN
ap-3818	96	46	k2ψ)−	k2ψ)−	NOUN
ap-3818	96	47	ψ	ψ	NOUN
ap-3818	96	48	)	)	PUNCT
ap-3818	96	49	,	,	PUNCT
ap-3818	96	50	(	(	PUNCT
ap-3818	96	51	11	11	NUM
ap-3818	96	52	)	)	PUNCT
ap-3818	96	53	where	where	SCONJ
ap-3818	96	54	δ2	δ2	VERB
ap-3818	96	55	e	e	NOUN
ap-3818	96	56	=	=	PRON
ap-3818	96	57	me	i	PRON
ap-3818	96	58	(	(	PUNCT
ap-3818	96	59	nee	nee	PROPN
ap-3818	96	60	2µ0	2µ0	NUM
ap-3818	96	61	)	)	PUNCT
ap-3818	96	62	−1	−1	NOUN
ap-3818	96	63	,	,	PUNCT
ap-3818	96	64	with	with	ADP
ap-3818	96	65	δe	δe	ADP
ap-3818	96	66	standing	stand	VERB
ap-3818	96	67	for	for	ADP
ap-3818	96	68	the	the	DET
ap-3818	96	69	electron	electron	NOUN
ap-3818	96	70	skin	skin	NOUN
ap-3818	96	71	depth	depth	NOUN
ap-3818	96	72	.	.	PUNCT
ap-3818	97	1	since	since	SCONJ
ap-3818	97	2	γ	γ	PROPN
ap-3818	97	3	is	be	AUX
ap-3818	97	4	expected	expect	VERB
ap-3818	97	5	to	to	PART
ap-3818	97	6	become	become	VERB
ap-3818	97	7	vanishingly	vanishingly	ADV
ap-3818	97	8	small	small	ADJ
ap-3818	97	9	in	in	ADP
ap-3818	97	10	the	the	DET
ap-3818	97	11	limit	limit	NOUN
ap-3818	97	12	η	η	PROPN
ap-3818	97	13	→	→	X
ap-3818	97	14	0	0	NUM
ap-3818	97	15	(	(	PUNCT
ap-3818	97	16	this	this	PRON
ap-3818	97	17	is	be	AUX
ap-3818	97	18	true	true	ADJ
ap-3818	97	19	for	for	ADP
ap-3818	97	20	tearing	tear	VERB
ap-3818	97	21	modes	mode	NOUN
ap-3818	97	22	but	but	CCONJ
ap-3818	97	23	not	not	PART
ap-3818	97	24	for	for	ADP
ap-3818	97	25	kink	kink	PROPN
ap-3818	97	26	modes	mode	NOUN
ap-3818	97	27	,	,	PUNCT
ap-3818	97	28	which	which	PRON
ap-3818	97	29	can	can	AUX
ap-3818	97	30	become	become	VERB
ap-3818	97	31	unstable	unstable	ADJ
ap-3818	97	32	even	even	ADV
ap-3818	97	33	in	in	ADP
ap-3818	97	34	the	the	DET
ap-3818	97	35	ideal	ideal	ADJ
ap-3818	97	36	limit	limit	NOUN
ap-3818	97	37	[	[	X
ap-3818	97	38	33	33	NUM
ap-3818	97	39	]	]	PUNCT
ap-3818	97	40	)	)	PUNCT
ap-3818	97	41	,	,	PUNCT
ap-3818	97	42	by	by	ADP
ap-3818	97	43	substituting	substitute	VERB
ap-3818	97	44	(	(	PUNCT
ap-3818	97	45	11	11	NUM
ap-3818	97	46	)	)	PUNCT
ap-3818	97	47	in	in	ADP
ap-3818	97	48	the	the	DET
ap-3818	97	49	second	second	ADJ
ap-3818	97	50	of	of	ADP
ap-3818	97	51	(	(	PUNCT
ap-3818	97	52	10	10	NUM
ap-3818	97	53	)	)	PUNCT
ap-3818	97	54	,	,	PUNCT
ap-3818	97	55	we	we	PRON
ap-3818	97	56	see	see	VERB
ap-3818	97	57	that	that	SCONJ
ap-3818	97	58	ψ	ψ	NOUN
ap-3818	97	59	satisfies	satisfy	VERB
ap-3818	97	60	the	the	DET
ap-3818	97	61	differential	differential	ADJ
ap-3818	97	62	equation	equation	NOUN
ap-3818	97	63	ψ′′	ψ′′	NOUN
ap-3818	97	64	=	=	PUNCT
ap-3818	98	1	(	(	PUNCT
ap-3818	98	2	k2	k2	PROPN
ap-3818	98	3	+	+	CCONJ
ap-3818	98	4	ψ′′′	ψ′′′	PROPN
ap-3818	98	5	ψ′	ψ′	PUNCT
ap-3818	98	6	)	)	PUNCT
ap-3818	99	1	ψ	ψ	ADP
ap-3818	99	2	,	,	PUNCT
ap-3818	99	3	(	(	PUNCT
ap-3818	99	4	12	12	NUM
ap-3818	99	5	)	)	PUNCT
ap-3818	99	6	in	in	ADP
ap-3818	99	7	the	the	DET
ap-3818	99	8	limit	limit	NOUN
ap-3818	99	9	γ	γ	X
ap-3818	99	10	→	→	SYM
ap-3818	99	11	0	0	NUM
ap-3818	99	12	.	.	PUNCT
ap-3818	99	13	except	except	SCONJ
ap-3818	99	14	for	for	ADP
ap-3818	99	15	much	much	ADJ
ap-3818	99	16	simplified	simplified	ADJ
ap-3818	99	17	equilibrium	equilibrium	NOUN
ap-3818	99	18	models	model	NOUN
ap-3818	99	19	,	,	PUNCT
ap-3818	99	20	(	(	PUNCT
ap-3818	99	21	12	12	NUM
ap-3818	99	22	)	)	PUNCT
ap-3818	99	23	must	must	AUX
ap-3818	99	24	be	be	AUX
ap-3818	99	25	treated	treat	VERB
ap-3818	99	26	numerically	numerically	ADV
ap-3818	99	27	.	.	PUNCT
ap-3818	100	1	however	however	ADV
ap-3818	100	2	,	,	PUNCT
ap-3818	100	3	the	the	DET
ap-3818	100	4	asymptotic	asymptotic	ADJ
ap-3818	100	5	behavior	behavior	NOUN
ap-3818	100	6	of	of	ADP
ap-3818	100	7	its	its	PRON
ap-3818	100	8	solution	solution	NOUN
ap-3818	100	9	in	in	ADP
ap-3818	100	10	the	the	DET
ap-3818	100	11	limit	limit	NOUN
ap-3818	100	12	x→	x→	X
ap-3818	100	13	0	0	PUNCT
ap-3818	100	14	can	can	AUX
ap-3818	100	15	be	be	AUX
ap-3818	100	16	easily	easily	ADV
ap-3818	100	17	found	find	VERB
ap-3818	100	18	by	by	ADP
ap-3818	100	19	making	make	VERB
ap-3818	100	20	use	use	NOUN
ap-3818	100	21	of	of	ADP
ap-3818	100	22	the	the	DET
ap-3818	100	23	frobenius	frobenius	NOUN
ap-3818	100	24	method	method	NOUN
ap-3818	100	25	.	.	PUNCT
ap-3818	101	1	to	to	PART
ap-3818	101	2	see	see	VERB
ap-3818	101	3	this	this	PRON
ap-3818	101	4	,	,	PUNCT
ap-3818	101	5	we	we	PRON
ap-3818	101	6	first	first	ADV
ap-3818	101	7	expand	expand	VERB
ap-3818	101	8	the	the	DET
ap-3818	101	9	equilibrium	equilibrium	NOUN
ap-3818	101	10	magnetic	magnetic	ADJ
ap-3818	101	11	field	field	NOUN
ap-3818	101	12	in	in	ADP
ap-3818	101	13	a	a	DET
ap-3818	101	14	taylor	taylor	PROPN
ap-3818	101	15	series	series	NOUN
ap-3818	101	16	about	about	ADP
ap-3818	101	17	the	the	DET
ap-3818	101	18	origin	origin	NOUN
ap-3818	101	19	,	,	PUNCT
ap-3818	101	20	by	by	ADP
ap-3818	101	21	noting	note	VERB
ap-3818	101	22	that	that	SCONJ
ap-3818	101	23	ψ′	ψ′	PUNCT
ap-3818	101	24	=	=	SYM
ap-3818	101	25	0	0	NUM
ap-3818	101	26	at	at	ADP
ap-3818	101	27	x	x	X
ap-3818	101	28	=	=	SYM
ap-3818	101	29	0	0	NUM
ap-3818	101	30	.	.	PUNCT
ap-3818	102	1	therefore	therefore	ADV
ap-3818	102	2	,	,	PUNCT
ap-3818	102	3	(	(	PUNCT
ap-3818	102	4	12	12	NUM
ap-3818	102	5	)	)	PUNCT
ap-3818	102	6	can	can	AUX
ap-3818	102	7	be	be	AUX
ap-3818	102	8	approximated	approximate	VERB
ap-3818	102	9	to	to	ADP
ap-3818	102	10	ψ′′	ψ′′	NOUN
ap-3818	102	11	=	=	PUNCT
ap-3818	102	12	κ	κ	X
ap-3818	102	13	x	x	SYM
ap-3818	102	14	ψ	ψ	PROPN
ap-3818	102	15	,	,	PUNCT
ap-3818	102	16	(	(	PUNCT
ap-3818	102	17	13	13	NUM
ap-3818	102	18	)	)	PUNCT
ap-3818	102	19	where	where	SCONJ
ap-3818	102	20	the	the	DET
ap-3818	102	21	number	number	NOUN
ap-3818	102	22	κ	κ	NOUN
ap-3818	102	23	satisfies	satisfy	VERB
ap-3818	102	24	the	the	DET
ap-3818	102	25	relation	relation	NOUN
ap-3818	102	26	κ	κ	X
ap-3818	102	27	=	=	PUNCT
ap-3818	102	28	ψ′′′(0	ψ′′′(0	NOUN
ap-3818	102	29	)	)	PUNCT
ap-3818	102	30	ψ′′(0	ψ′′(0	NOUN
ap-3818	102	31	)	)	PUNCT
ap-3818	102	32	.	.	PUNCT
ap-3818	103	1	(	(	PUNCT
ap-3818	103	2	14	14	NUM
ap-3818	103	3	)	)	PUNCT
ap-3818	103	4	the	the	DET
ap-3818	103	5	general	general	ADJ
ap-3818	103	6	solution	solution	NOUN
ap-3818	103	7	of	of	ADP
ap-3818	103	8	(	(	PUNCT
ap-3818	103	9	13	13	NUM
ap-3818	103	10	)	)	PUNCT
ap-3818	103	11	reads	read	VERB
ap-3818	103	12	as	as	ADP
ap-3818	103	13	[	[	X
ap-3818	103	14	41	41	NUM
ap-3818	103	15	]	]	SYM
ap-3818	103	16	ψ(x	ψ(x	NOUN
ap-3818	103	17	)	)	PUNCT
ap-3818	103	18	=	=	PRON
ap-3818	103	19	ψ̂û(κx	ψ̂û(κx	VERB
ap-3818	103	20	)	)	PUNCT
ap-3818	104	1	+	+	CCONJ
ap-3818	104	2	ψ̄ū(κx	ψ̄ū(κx	NOUN
ap-3818	104	3	)	)	PUNCT
ap-3818	104	4	,	,	PUNCT
ap-3818	104	5	(	(	PUNCT
ap-3818	104	6	15	15	NUM
ap-3818	104	7	)	)	PUNCT
ap-3818	104	8	where	where	SCONJ
ap-3818	104	9	ψ̂	ψ̂	PUNCT
ap-3818	104	10	and	and	CCONJ
ap-3818	104	11	ψ̄	ψ̄	NUM
ap-3818	104	12	are	be	AUX
ap-3818	104	13	constants	constant	NOUN
ap-3818	104	14	,	,	PUNCT
ap-3818	104	15	and	and	CCONJ
ap-3818	104	16	û(κx	û(κx	PRON
ap-3818	104	17	)	)	PUNCT
ap-3818	104	18	=	=	VERB
ap-3818	104	19	κx+	κx+	VERB
ap-3818	104	20	1	1	NUM
ap-3818	104	21	2(κx)2	2(κx)2	NOUN
ap-3818	104	22	+	+	CCONJ
ap-3818	104	23	1	1	NUM
ap-3818	104	24	12(κx)3	12(κx)3	NUM
ap-3818	104	25	+	+	PUNCT
ap-3818	104	26	.	.	PUNCT
ap-3818	104	27	.	.	PUNCT
ap-3818	104	28	.	.	PUNCT
ap-3818	105	1	,	,	PUNCT
ap-3818	105	2	ū(κx	ū(κx	ADJ
ap-3818	105	3	)	)	PUNCT
ap-3818	105	4	=	=	SYM
ap-3818	105	5	1−	1−	NUM
ap-3818	105	6	κx−	κx−	NUM
ap-3818	105	7	5	5	NUM
ap-3818	105	8	4(κx)2	4(κx)2	NOUN
ap-3818	105	9	−	−	NOUN
ap-3818	105	10	.	.	PUNCT
ap-3818	105	11	.	.	PUNCT
ap-3818	106	1	.+	.+	NOUN
ap-3818	106	2	û	û	PRON
ap-3818	106	3	ln|κx|	ln|κx|	NOUN
ap-3818	106	4	(	(	PUNCT
ap-3818	106	5	16	16	NUM
ap-3818	106	6	)	)	PUNCT
ap-3818	106	7	provide	provide	VERB
ap-3818	106	8	the	the	DET
ap-3818	106	9	regular	regular	ADJ
ap-3818	106	10	and	and	CCONJ
ap-3818	106	11	irregular	irregular	ADJ
ap-3818	106	12	parts	part	NOUN
ap-3818	106	13	,	,	PUNCT
ap-3818	106	14	respectively	respectively	ADV
ap-3818	106	15	,	,	PUNCT
ap-3818	106	16	of	of	ADP
ap-3818	106	17	ψ	ψ	NOUN
ap-3818	106	18	in	in	ADP
ap-3818	106	19	the	the	DET
ap-3818	106	20	limit	limit	NOUN
ap-3818	106	21	x→	x→	X
ap-3818	106	22	0	0	X
ap-3818	106	23	.	.	PUNCT
ap-3818	107	1	as	as	SCONJ
ap-3818	107	2	it	it	PRON
ap-3818	107	3	appears	appear	VERB
ap-3818	107	4	,	,	PUNCT
ap-3818	107	5	about	about	ADP
ap-3818	107	6	the	the	DET
ap-3818	107	7	origin	origin	NOUN
ap-3818	107	8	,	,	PUNCT
ap-3818	107	9	the	the	DET
ap-3818	107	10	dominant	dominant	ADJ
ap-3818	107	11	behavior	behavior	NOUN
ap-3818	107	12	of	of	ADP
ap-3818	107	13	ψ	ψ	PROPN
ap-3818	107	14	is	be	AUX
ap-3818	107	15	given	give	VERB
ap-3818	107	16	by	by	ADP
ap-3818	107	17	ψ(x	ψ(x	NOUN
ap-3818	107	18	)	)	PUNCT
ap-3818	108	1	=	=	SYM
ap-3818	108	2	ψ̄	ψ̄	NOUN
ap-3818	108	3	(	(	PUNCT
ap-3818	108	4	1	1	NUM
ap-3818	108	5	+	+	NUM
ap-3818	108	6	κx	κx	NOUN
ap-3818	108	7	ln|κx|	ln|κx|	NOUN
ap-3818	108	8	)	)	PUNCT
ap-3818	108	9	.	.	PUNCT
ap-3818	109	1	(	(	PUNCT
ap-3818	109	2	17	17	NUM
ap-3818	109	3	)	)	PUNCT
ap-3818	109	4	equation	equation	NOUN
ap-3818	109	5	(	(	PUNCT
ap-3818	109	6	17	17	NUM
ap-3818	109	7	)	)	PUNCT
ap-3818	109	8	shows	show	VERB
ap-3818	109	9	that	that	SCONJ
ap-3818	109	10	ψ	ψ	NOUN
ap-3818	109	11	is	be	AUX
ap-3818	109	12	actually	actually	ADV
ap-3818	109	13	a	a	DET
ap-3818	109	14	constant	constant	ADJ
ap-3818	109	15	,	,	PUNCT
ap-3818	109	16	while	while	SCONJ
ap-3818	109	17	its	its	PRON
ap-3818	109	18	first	first	ADJ
ap-3818	109	19	and	and	CCONJ
ap-3818	109	20	higher	high	ADJ
ap-3818	109	21	order	order	NOUN
ap-3818	109	22	derivatives	derivative	NOUN
ap-3818	109	23	diverge	diverge	VERB
ap-3818	109	24	in	in	ADP
ap-3818	109	25	the	the	DET
ap-3818	109	26	limit	limit	NOUN
ap-3818	109	27	x→	x→	X
ap-3818	109	28	0	0	NUM
ap-3818	109	29	.	.	PUNCT
ap-3818	110	1	such	such	ADJ
ap-3818	110	2	asymptotic	asymptotic	ADJ
ap-3818	110	3	behavior	behavior	NOUN
ap-3818	110	4	is	be	AUX
ap-3818	110	5	the	the	DET
ap-3818	110	6	source	source	NOUN
ap-3818	110	7	of	of	ADP
ap-3818	110	8	the	the	DET
ap-3818	110	9	so	so	ADV
ap-3818	110	10	-	-	PUNCT
ap-3818	110	11	called	call	VERB
ap-3818	110	12	constant	constant	ADJ
ap-3818	110	13	-	-	PUNCT
ap-3818	110	14	ψ	ψ	NOUN
ap-3818	110	15	approximation	approximation	NOUN
ap-3818	110	16	in	in	ADP
ap-3818	110	17	the	the	DET
ap-3818	110	18	analytical	analytical	ADJ
ap-3818	110	19	theory	theory	NOUN
ap-3818	110	20	of	of	ADP
ap-3818	110	21	tearing	tear	VERB
ap-3818	110	22	modes	mode	NOUN
ap-3818	110	23	.	.	PUNCT
ap-3818	111	1	given	give	VERB
ap-3818	111	2	the	the	DET
ap-3818	111	3	functional	functional	ADJ
ap-3818	111	4	form	form	NOUN
ap-3818	111	5	(	(	PUNCT
ap-3818	111	6	17	17	NUM
ap-3818	111	7	)	)	PUNCT
ap-3818	111	8	of	of	ADP
ap-3818	111	9	the	the	DET
ap-3818	111	10	asymptotic	asymptotic	ADJ
ap-3818	111	11	solution	solution	NOUN
ap-3818	111	12	of	of	ADP
ap-3818	111	13	(	(	PUNCT
ap-3818	111	14	12	12	NUM
ap-3818	111	15	)	)	PUNCT
ap-3818	111	16	about	about	ADP
ap-3818	111	17	the	the	DET
ap-3818	111	18	origin	origin	NOUN
ap-3818	111	19	,	,	PUNCT
ap-3818	111	20	(	(	PUNCT
ap-3818	111	21	13	13	NUM
ap-3818	111	22	)	)	PUNCT
ap-3818	111	23	shows	show	VERB
ap-3818	111	24	that	that	SCONJ
ap-3818	111	25	the	the	DET
ap-3818	111	26	logarithmic	logarithmic	ADJ
ap-3818	111	27	derivative	derivative	NOUN
ap-3818	111	28	of	of	ADP
ap-3818	111	29	ψ	ψ	NOUN
ap-3818	111	30	exhibits	exhibit	VERB
ap-3818	111	31	a	a	DET
ap-3818	111	32	jump	jump	NOUN
ap-3818	111	33	,	,	PUNCT
ap-3818	111	34	∆′	∆′	NOUN
ap-3818	111	35	=	=	NOUN
ap-3818	111	36	1	1	NUM
ap-3818	111	37	ψ̄	ψ̄	NOUN
ap-3818	111	38	∫	∫	NOUN
ap-3818	111	39	0	0	NUM
ap-3818	112	1	+	+	CCONJ
ap-3818	112	2	0−	0−	NUM
ap-3818	112	3	ψ′′dx	ψ′′dx	ADV
ap-3818	112	4	,	,	PUNCT
ap-3818	112	5	(	(	PUNCT
ap-3818	112	6	18	18	NUM
ap-3818	112	7	)	)	PUNCT
ap-3818	112	8	34	34	NUM
ap-3818	112	9	vol	vol	NOUN
ap-3818	112	10	.	.	PUNCT
ap-3818	112	11	57	57	NUM
ap-3818	112	12	no	no	NOUN
ap-3818	112	13	.	.	PUNCT
ap-3818	113	1	1/2017	1/2017	NUM
ap-3818	113	2	tearing	tear	VERB
ap-3818	113	3	modes	mode	NOUN
ap-3818	113	4	growth	growth	NOUN
ap-3818	113	5	rate	rate	NOUN
ap-3818	113	6	amplification	amplification	NOUN
ap-3818	113	7	due	due	ADP
ap-3818	113	8	to	to	PART
ap-3818	113	9	finite	finite	VERB
ap-3818	113	10	current	current	ADJ
ap-3818	113	11	relaxation	relaxation	NOUN
ap-3818	113	12	across	across	ADP
ap-3818	113	13	the	the	DET
ap-3818	113	14	resistive	resistive	ADJ
ap-3818	113	15	layer	layer	NOUN
ap-3818	113	16	.	.	PUNCT
ap-3818	114	1	the	the	DET
ap-3818	114	2	asymptotic	asymptotic	ADJ
ap-3818	114	3	solution	solution	NOUN
ap-3818	114	4	(	(	PUNCT
ap-3818	114	5	17	17	NUM
ap-3818	114	6	)	)	PUNCT
ap-3818	114	7	of	of	ADP
ap-3818	114	8	(	(	PUNCT
ap-3818	114	9	12	12	NUM
ap-3818	114	10	)	)	PUNCT
ap-3818	114	11	in	in	ADP
ap-3818	114	12	the	the	DET
ap-3818	114	13	ideal	ideal	ADJ
ap-3818	114	14	region	region	NOUN
ap-3818	114	15	suggests	suggest	VERB
ap-3818	114	16	that	that	SCONJ
ap-3818	114	17	the	the	DET
ap-3818	114	18	perturbative	perturbative	ADJ
ap-3818	114	19	function	function	NOUN
ap-3818	114	20	ψ	ψ	NOUN
ap-3818	114	21	is	be	AUX
ap-3818	114	22	,	,	PUNCT
ap-3818	114	23	to	to	ADP
ap-3818	114	24	the	the	DET
ap-3818	114	25	lowest	low	ADJ
ap-3818	114	26	order	order	NOUN
ap-3818	114	27	,	,	PUNCT
ap-3818	114	28	also	also	ADV
ap-3818	114	29	a	a	DET
ap-3818	114	30	constant	constant	ADJ
ap-3818	114	31	inside	inside	ADP
ap-3818	114	32	the	the	DET
ap-3818	114	33	resistive	resistive	ADJ
ap-3818	114	34	layer	layer	NOUN
ap-3818	114	35	.	.	PUNCT
ap-3818	115	1	however	however	ADV
ap-3818	115	2	,	,	PUNCT
ap-3818	115	3	the	the	DET
ap-3818	115	4	varying	vary	VERB
ap-3818	115	5	parts	part	NOUN
ap-3818	115	6	of	of	ADP
ap-3818	115	7	ψ	ψ	PROPN
ap-3818	115	8	and	and	CCONJ
ap-3818	115	9	φ	φ	PROPN
ap-3818	115	10	inside	inside	ADP
ap-3818	115	11	the	the	DET
ap-3818	115	12	resistive	resistive	ADJ
ap-3818	115	13	layer	layer	NOUN
ap-3818	115	14	are	be	AUX
ap-3818	115	15	not	not	PART
ap-3818	115	16	yet	yet	ADV
ap-3818	115	17	known	know	VERB
ap-3818	115	18	.	.	PUNCT
ap-3818	116	1	actually	actually	ADV
ap-3818	116	2	,	,	PUNCT
ap-3818	116	3	the	the	DET
ap-3818	116	4	characteristic	characteristic	ADJ
ap-3818	116	5	length	length	NOUN
ap-3818	116	6	scale	scale	NOUN
ap-3818	116	7	of	of	ADP
ap-3818	116	8	the	the	DET
ap-3818	116	9	variation	variation	NOUN
ap-3818	116	10	of	of	ADP
ap-3818	116	11	the	the	DET
ap-3818	116	12	fields	field	NOUN
ap-3818	116	13	is	be	AUX
ap-3818	116	14	not	not	PART
ap-3818	116	15	the	the	DET
ap-3818	116	16	same	same	ADJ
ap-3818	116	17	for	for	ADP
ap-3818	116	18	both	both	CCONJ
ap-3818	116	19	ideal	ideal	ADJ
ap-3818	116	20	and	and	CCONJ
ap-3818	116	21	resistive	resistive	ADJ
ap-3818	116	22	phenomena	phenomenon	NOUN
ap-3818	116	23	.	.	PUNCT
ap-3818	117	1	when	when	SCONJ
ap-3818	117	2	resistivity	resistivity	NOUN
ap-3818	117	3	is	be	AUX
ap-3818	117	4	neglected	neglect	VERB
ap-3818	117	5	,	,	PUNCT
ap-3818	117	6	the	the	DET
ap-3818	117	7	magnetic	magnetic	ADJ
ap-3818	117	8	field	field	NOUN
ap-3818	117	9	is	be	AUX
ap-3818	117	10	frozen	freeze	VERB
ap-3818	117	11	inside	inside	ADP
ap-3818	117	12	the	the	DET
ap-3818	117	13	plasma	plasma	NOUN
ap-3818	117	14	,	,	PUNCT
ap-3818	117	15	and	and	CCONJ
ap-3818	117	16	the	the	DET
ap-3818	117	17	perturbed	perturb	VERB
ap-3818	117	18	fluid	fluid	ADJ
ap-3818	117	19	motions	motion	NOUN
ap-3818	117	20	can	can	AUX
ap-3818	117	21	cause	cause	VERB
ap-3818	117	22	substantial	substantial	ADJ
ap-3818	117	23	distortions	distortion	NOUN
ap-3818	117	24	in	in	ADP
ap-3818	117	25	the	the	DET
ap-3818	117	26	field	field	NOUN
ap-3818	117	27	lines	line	NOUN
ap-3818	117	28	.	.	PUNCT
ap-3818	118	1	therefore	therefore	ADV
ap-3818	118	2	,	,	PUNCT
ap-3818	118	3	significant	significant	ADJ
ap-3818	118	4	gradients	gradient	NOUN
ap-3818	118	5	of	of	ADP
ap-3818	118	6	perturbed	perturb	VERB
ap-3818	118	7	fields	field	NOUN
ap-3818	118	8	can	can	AUX
ap-3818	118	9	ensue	ensue	VERB
ap-3818	118	10	in	in	ADP
ap-3818	118	11	the	the	DET
ap-3818	118	12	resistive	resistive	ADJ
ap-3818	118	13	layer	layer	NOUN
ap-3818	118	14	.	.	PUNCT
ap-3818	119	1	this	this	PRON
ap-3818	119	2	is	be	AUX
ap-3818	119	3	the	the	DET
ap-3818	119	4	motivation	motivation	NOUN
ap-3818	119	5	for	for	ADP
ap-3818	119	6	making	make	VERB
ap-3818	119	7	use	use	NOUN
ap-3818	119	8	of	of	ADP
ap-3818	119	9	the	the	DET
ap-3818	119	10	boundary	boundary	ADJ
ap-3818	119	11	layer	layer	NOUN
ap-3818	119	12	technique	technique	NOUN
ap-3818	119	13	in	in	ADP
ap-3818	119	14	the	the	DET
ap-3818	119	15	analytical	analytical	ADJ
ap-3818	119	16	theory	theory	NOUN
ap-3818	119	17	of	of	ADP
ap-3818	119	18	tearing	tear	VERB
ap-3818	119	19	modes	mode	NOUN
ap-3818	119	20	[	[	X
ap-3818	119	21	42	42	NUM
ap-3818	119	22	]	]	PUNCT
ap-3818	119	23	.	.	PUNCT
ap-3818	120	1	in	in	ADP
ap-3818	120	2	order	order	NOUN
ap-3818	120	3	to	to	PART
ap-3818	120	4	apply	apply	VERB
ap-3818	120	5	the	the	DET
ap-3818	120	6	boundary	boundary	ADJ
ap-3818	120	7	layer	layer	NOUN
ap-3818	120	8	technique	technique	NOUN
ap-3818	120	9	to	to	PART
ap-3818	120	10	solve	solve	VERB
ap-3818	120	11	(	(	PUNCT
ap-3818	120	12	10	10	NUM
ap-3818	120	13	)	)	PUNCT
ap-3818	120	14	inside	inside	ADP
ap-3818	120	15	the	the	DET
ap-3818	120	16	resistive	resistive	ADJ
ap-3818	120	17	layer	layer	NOUN
ap-3818	120	18	,	,	PUNCT
ap-3818	120	19	first	first	ADV
ap-3818	120	20	we	we	PRON
ap-3818	120	21	need	need	VERB
ap-3818	120	22	to	to	PART
ap-3818	120	23	identify	identify	VERB
ap-3818	120	24	a	a	DET
ap-3818	120	25	small	small	ADJ
ap-3818	120	26	scaling	scaling	NOUN
ap-3818	120	27	parameter	parameter	NOUN
ap-3818	120	28	among	among	ADP
ap-3818	120	29	the	the	DET
ap-3818	120	30	relevant	relevant	ADJ
ap-3818	120	31	physical	physical	ADJ
ap-3818	120	32	quantities	quantity	NOUN
ap-3818	120	33	.	.	PUNCT
ap-3818	121	1	for	for	ADP
ap-3818	121	2	fully	fully	ADV
ap-3818	121	3	ionized	ionize	VERB
ap-3818	121	4	plasmas	plasma	NOUN
ap-3818	121	5	,	,	PUNCT
ap-3818	121	6	it	it	PRON
ap-3818	121	7	is	be	AUX
ap-3818	121	8	well	well	ADV
ap-3818	121	9	-	-	PUNCT
ap-3818	121	10	known	know	VERB
ap-3818	121	11	that	that	SCONJ
ap-3818	121	12	η	η	X
ap-3818	121	13	∼	∼	NOUN
ap-3818	121	14	t−3/2	t−3/2	PROPN
ap-3818	121	15	e	e	NOUN
ap-3818	121	16	,	,	PUNCT
ap-3818	121	17	with	with	ADP
ap-3818	121	18	te	te	ADP
ap-3818	121	19	standing	stand	VERB
ap-3818	121	20	for	for	ADP
ap-3818	121	21	the	the	DET
ap-3818	121	22	electron	electron	NOUN
ap-3818	121	23	temperature	temperature	NOUN
ap-3818	121	24	[	[	X
ap-3818	121	25	7	7	NUM
ap-3818	121	26	]	]	PUNCT
ap-3818	121	27	.	.	PUNCT
ap-3818	122	1	for	for	ADP
ap-3818	122	2	typically	typically	ADV
ap-3818	122	3	high	high	ADJ
ap-3818	122	4	values	value	NOUN
ap-3818	122	5	of	of	ADP
ap-3818	122	6	the	the	DET
ap-3818	122	7	electron	electron	NOUN
ap-3818	122	8	temperature	temperature	NOUN
ap-3818	122	9	,	,	PUNCT
ap-3818	122	10	the	the	DET
ap-3818	122	11	upper	upper	ADJ
ap-3818	122	12	-	-	PUNCT
ap-3818	122	13	limit	limit	NOUN
ap-3818	122	14	of	of	ADP
ap-3818	122	15	the	the	DET
ap-3818	122	16	ratio	ratio	NOUN
ap-3818	122	17	of	of	ADP
ap-3818	122	18	the	the	DET
ap-3818	122	19	alfvén	alfvén	NOUN
ap-3818	122	20	to	to	ADP
ap-3818	122	21	the	the	DET
ap-3818	122	22	diffusion	diffusion	NOUN
ap-3818	122	23	time	time	NOUN
ap-3818	122	24	scales	scale	NOUN
ap-3818	122	25	is	be	AUX
ap-3818	122	26	quite	quite	DET
ap-3818	122	27	a	a	DET
ap-3818	122	28	small	small	ADJ
ap-3818	122	29	number	number	NOUN
ap-3818	122	30	,	,	PUNCT
ap-3818	123	1	τaτ	τaτ	NOUN
ap-3818	123	2	−1	−1	NOUN
ap-3818	123	3	d	d	X
ap-3818	123	4	<	<	X
ap-3818	123	5	10−5	10−5	NUM
ap-3818	124	1	[	[	X
ap-3818	124	2	6	6	NUM
ap-3818	124	3	]	]	PUNCT
ap-3818	124	4	.	.	PUNCT
ap-3818	125	1	hence	hence	ADV
ap-3818	125	2	,	,	PUNCT
ap-3818	125	3	we	we	PRON
ap-3818	125	4	introduce	introduce	VERB
ap-3818	125	5	the	the	DET
ap-3818	125	6	scaling	scaling	NOUN
ap-3818	125	7	γ	γ	X
ap-3818	125	8	=	=	PUNCT
ap-3818	125	9	(	(	PUNCT
ap-3818	125	10	τa	τa	NOUN
ap-3818	125	11	τd	τd	ADV
ap-3818	125	12	)	)	PUNCT
ap-3818	125	13	q	q	PROPN
ap-3818	126	1	ω	ω	PROPN
ap-3818	126	2	,	,	PUNCT
ap-3818	126	3	τc	τc	ADV
ap-3818	126	4	τa	τa	ADV
ap-3818	126	5	=	=	PUNCT
ap-3818	126	6	(	(	PUNCT
ap-3818	126	7	τa	τa	NOUN
ap-3818	126	8	τd	τd	ADV
ap-3818	126	9	)	)	PUNCT
ap-3818	126	10	−q	−q	NOUN
ap-3818	126	11	θ	θ	NOUN
ap-3818	126	12	,	,	PUNCT
ap-3818	126	13	x	x	SYM
ap-3818	126	14	=	=	PUNCT
ap-3818	126	15	(	(	PUNCT
ap-3818	126	16	τa	τa	NOUN
ap-3818	126	17	τd	τd	ADV
ap-3818	126	18	)	)	PUNCT
ap-3818	126	19	r	r	NOUN
ap-3818	126	20	ξ	ξ	PROPN
ap-3818	126	21	,	,	PUNCT
ap-3818	126	22	ψ′	ψ′	PUNCT
ap-3818	126	23	=	=	SYM
ap-3818	126	24	−	−	PROPN
ap-3818	126	25	(	(	PUNCT
ap-3818	126	26	τa	τa	NOUN
ap-3818	126	27	τd	τd	ADV
ap-3818	126	28	)	)	PUNCT
ap-3818	126	29	r	r	NOUN
ap-3818	126	30	ξ	ξ	PROPN
ap-3818	126	31	,	,	PUNCT
ap-3818	126	32	ψ(x	ψ(x	NOUN
ap-3818	126	33	)	)	PUNCT
ap-3818	126	34	=	=	SYM
ap-3818	126	35	ψ̄	ψ̄	NOUN
ap-3818	127	1	+	+	CCONJ
ap-3818	127	2	(	(	PUNCT
ap-3818	127	3	τa	τa	VERB
ap-3818	127	4	τd	τd	ADV
ap-3818	127	5	)	)	PUNCT
ap-3818	127	6	r	r	NOUN
ap-3818	127	7	ψ̃(ξ	ψ̃(ξ	PROPN
ap-3818	127	8	)	)	PUNCT
ap-3818	127	9	,	,	PUNCT
ap-3818	127	10	φ(x	φ(x	NOUN
ap-3818	127	11	)	)	PUNCT
ap-3818	127	12	=	=	NOUN
ap-3818	127	13	(	(	PUNCT
ap-3818	127	14	τa	τa	NOUN
ap-3818	127	15	τd	τd	ADV
ap-3818	127	16	)	)	PUNCT
ap-3818	127	17	s	s	PROPN
ap-3818	127	18	γ	γ	X
ap-3818	127	19	k	k	PROPN
ap-3818	127	20	ϕ(ξ	ϕ(ξ	PROPN
ap-3818	127	21	)	)	PUNCT
ap-3818	127	22	,	,	PUNCT
ap-3818	127	23	(	(	PUNCT
ap-3818	127	24	19	19	NUM
ap-3818	127	25	)	)	PUNCT
ap-3818	127	26	where	where	SCONJ
ap-3818	127	27	we	we	PRON
ap-3818	127	28	see	see	VERB
ap-3818	127	29	that	that	SCONJ
ap-3818	127	30	ωθ	ωθ	X
ap-3818	127	31	=	=	SYM
ap-3818	127	32	γτcτ	γτcτ	NOUN
ap-3818	127	33	−1	−1	ADV
ap-3818	127	34	a	a	PRON
ap-3818	127	35	,	,	PUNCT
ap-3818	127	36	since	since	SCONJ
ap-3818	127	37	inertial	inertial	ADJ
ap-3818	127	38	effects	effect	NOUN
ap-3818	127	39	should	should	AUX
ap-3818	127	40	be	be	AUX
ap-3818	127	41	actually	actually	ADV
ap-3818	127	42	important	important	ADJ
ap-3818	127	43	at	at	ADP
ap-3818	127	44	very	very	ADV
ap-3818	127	45	short	short	ADJ
ap-3818	127	46	length	length	NOUN
ap-3818	127	47	scales	scale	NOUN
ap-3818	127	48	,	,	PUNCT
ap-3818	127	49	ψ′	ψ′	PUNCT
ap-3818	127	50	vanishes	vanish	VERB
ap-3818	127	51	linearly	linearly	ADV
ap-3818	127	52	with	with	ADP
ap-3818	127	53	ξ	ξ	PROPN
ap-3818	127	54	inside	inside	ADP
ap-3818	127	55	the	the	DET
ap-3818	127	56	resistive	resistive	ADJ
ap-3818	127	57	layer	layer	NOUN
ap-3818	127	58	,	,	PUNCT
ap-3818	127	59	ψ̄	ψ̄	PUNCT
ap-3818	127	60	and	and	CCONJ
ap-3818	127	61	ψ̃	ψ̃	PROPN
ap-3818	127	62	provide	provide	VERB
ap-3818	127	63	the	the	DET
ap-3818	127	64	constant	constant	ADJ
ap-3818	127	65	and	and	CCONJ
ap-3818	127	66	varying	vary	VERB
ap-3818	127	67	parts	part	NOUN
ap-3818	127	68	,	,	PUNCT
ap-3818	127	69	respectively	respectively	ADV
ap-3818	127	70	,	,	PUNCT
ap-3818	127	71	of	of	ADP
ap-3818	127	72	ψ	ψ	PRON
ap-3818	127	73	inside	inside	ADP
ap-3818	127	74	the	the	DET
ap-3818	127	75	resistive	resistive	ADJ
ap-3818	127	76	layer	layer	NOUN
ap-3818	127	77	,	,	PUNCT
ap-3818	127	78	and	and	CCONJ
ap-3818	127	79	γk−1	γk−1	PROPN
ap-3818	127	80	is	be	AUX
ap-3818	127	81	included	include	VERB
ap-3818	127	82	in	in	ADP
ap-3818	127	83	the	the	DET
ap-3818	127	84	definition	definition	NOUN
ap-3818	127	85	of	of	ADP
ap-3818	127	86	ϕ	ϕ	NOUN
ap-3818	127	87	to	to	PART
ap-3818	127	88	simplify	simplify	VERB
ap-3818	127	89	further	further	ADJ
ap-3818	127	90	calculations	calculation	NOUN
ap-3818	127	91	.	.	PUNCT
ap-3818	128	1	given	give	VERB
ap-3818	128	2	the	the	DET
ap-3818	128	3	considerations	consideration	NOUN
ap-3818	128	4	above	above	ADV
ap-3818	128	5	,	,	PUNCT
ap-3818	128	6	we	we	PRON
ap-3818	128	7	obtain	obtain	VERB
ap-3818	128	8	the	the	DET
ap-3818	128	9	scaled	scale	VERB
ap-3818	128	10	version	version	NOUN
ap-3818	128	11	of	of	ADP
ap-3818	128	12	(	(	PUNCT
ap-3818	128	13	10	10	NUM
ap-3818	128	14	)	)	PUNCT
ap-3818	128	15	,	,	PUNCT
ap-3818	128	16	ψ̄	ψ̄	PUNCT
ap-3818	129	1	+	+	CCONJ
ap-3818	129	2	(	(	PUNCT
ap-3818	129	3	τa	τa	VERB
ap-3818	129	4	τd	τd	ADV
ap-3818	129	5	)	)	PUNCT
ap-3818	129	6	r	r	NOUN
ap-3818	129	7	ψ̃	ψ̃	NOUN
ap-3818	129	8	−	−	PROPN
ap-3818	129	9	(	(	PUNCT
ap-3818	129	10	τa	τa	VERB
ap-3818	129	11	τd	τd	ADV
ap-3818	129	12	)	)	PUNCT
ap-3818	129	13	r+s	r+	NOUN
ap-3818	129	14	ξϕ	ξϕ	NOUN
ap-3818	129	15	=	=	SYM
ap-3818	129	16	1+ωθ	1+ωθ	NUM
ap-3818	129	17	ω	ω	NOUN
ap-3818	129	18	(	(	PUNCT
ap-3818	129	19	τa	τa	PROPN
ap-3818	129	20	τd	τd	ADV
ap-3818	129	21	)	)	PUNCT
ap-3818	129	22	1−q−r	1−q−r	PROPN
ap-3818	129	23	(	(	PUNCT
ap-3818	129	24	d2ψ̃	d2ψ̃	ADP
ap-3818	129	25	dξ2	dξ2	NOUN
ap-3818	129	26	−	−	PROPN
ap-3818	129	27	(	(	PUNCT
ap-3818	129	28	τa	τa	VERB
ap-3818	129	29	τd	τd	ADV
ap-3818	129	30	)	)	PUNCT
ap-3818	129	31	r	r	NOUN
ap-3818	129	32	k2	k2	NOUN
ap-3818	129	33	(	(	PUNCT
ap-3818	129	34	ψ̄+	ψ̄+	NUM
ap-3818	129	35	(	(	PUNCT
ap-3818	129	36	τa	τa	NOUN
ap-3818	129	37	τd	τd	ADV
ap-3818	129	38	)	)	PUNCT
ap-3818	129	39	r	r	NOUN
ap-3818	129	40	ψ̃	ψ̃	PROPN
ap-3818	129	41	)	)	PUNCT
ap-3818	129	42	)	)	PUNCT
ap-3818	129	43	,	,	PUNCT
ap-3818	129	44	d2ϕ	d2ϕ	VERB
ap-3818	129	45	dξ2	dξ2	NOUN
ap-3818	129	46	−	−	PROPN
ap-3818	129	47	(	(	PUNCT
ap-3818	129	48	τa	τa	VERB
ap-3818	129	49	τd	τd	ADV
ap-3818	129	50	)	)	PUNCT
ap-3818	129	51	2r	2r	PROPN
ap-3818	129	52	k2ϕ	k2ϕ	NOUN
ap-3818	129	53	=	=	SYM
ap-3818	129	54	−	−	PROPN
ap-3818	129	55	(	(	PUNCT
ap-3818	129	56	τa	τa	NOUN
ap-3818	129	57	τd	τd	ADV
ap-3818	129	58	)	)	PUNCT
ap-3818	130	1	−2q+2r−s	−2q+2r−s	PROPN
ap-3818	130	2	(	(	PUNCT
ap-3818	130	3	k	k	PROPN
ap-3818	130	4	ω	ω	PROPN
ap-3818	130	5	)	)	PUNCT
ap-3818	130	6	2	2	NUM
ap-3818	130	7	ξ	ξ	PROPN
ap-3818	130	8	(	(	PUNCT
ap-3818	130	9	d2ψ̃	d2ψ̃	ADP
ap-3818	130	10	dξ2	dξ2	NOUN
ap-3818	130	11	−	−	PROPN
ap-3818	130	12	(	(	PUNCT
ap-3818	130	13	τa	τa	VERB
ap-3818	130	14	τd	τd	ADV
ap-3818	130	15	)	)	PUNCT
ap-3818	130	16	r	r	NOUN
ap-3818	130	17	k2	k2	NOUN
ap-3818	130	18	(	(	PUNCT
ap-3818	130	19	ψ̄	ψ̄	NUM
ap-3818	131	1	+	+	CCONJ
ap-3818	131	2	(	(	PUNCT
ap-3818	131	3	τa	τa	VERB
ap-3818	131	4	τd	τd	ADV
ap-3818	131	5	)	)	PUNCT
ap-3818	131	6	r	r	NOUN
ap-3818	131	7	ψ̃	ψ̃	PROPN
ap-3818	131	8	)	)	PUNCT
ap-3818	131	9	)	)	PUNCT
ap-3818	131	10	,	,	PUNCT
ap-3818	131	11	(	(	PUNCT
ap-3818	131	12	20	20	NUM
ap-3818	131	13	)	)	PUNCT
ap-3818	131	14	respectively	respectively	ADV
ap-3818	131	15	.	.	PUNCT
ap-3818	132	1	the	the	DET
ap-3818	132	2	powers	power	NOUN
ap-3818	132	3	q	q	NOUN
ap-3818	132	4	,	,	PUNCT
ap-3818	132	5	r	r	NOUN
ap-3818	132	6	,	,	PUNCT
ap-3818	132	7	and	and	CCONJ
ap-3818	132	8	s	s	VERB
ap-3818	132	9	must	must	AUX
ap-3818	132	10	be	be	AUX
ap-3818	132	11	chosen	choose	VERB
ap-3818	132	12	by	by	ADP
ap-3818	132	13	requiring	require	VERB
ap-3818	132	14	that	that	SCONJ
ap-3818	132	15	the	the	DET
ap-3818	132	16	terms	term	NOUN
ap-3818	132	17	proportional	proportional	ADJ
ap-3818	132	18	to	to	ADP
ap-3818	132	19	ξ	ξ	PROPN
ap-3818	132	20	and	and	CCONJ
ap-3818	132	21	to	to	ADP
ap-3818	132	22	the	the	DET
ap-3818	132	23	second	second	ADJ
ap-3818	132	24	derivative	derivative	NOUN
ap-3818	132	25	of	of	ADP
ap-3818	132	26	ψ̃	ψ̃	PROPN
ap-3818	132	27	become	become	VERB
ap-3818	132	28	of	of	ADP
ap-3818	132	29	the	the	DET
ap-3818	132	30	same	same	ADJ
ap-3818	132	31	order	order	NOUN
ap-3818	132	32	of	of	ADP
ap-3818	132	33	ψ̄	ψ̄	NOUN
ap-3818	132	34	(	(	PUNCT
ap-3818	132	35	the	the	DET
ap-3818	132	36	constant	constant	ADJ
ap-3818	132	37	-	-	PUNCT
ap-3818	132	38	ψ	ψ	NOUN
ap-3818	132	39	approximation	approximation	NOUN
ap-3818	132	40	)	)	PUNCT
ap-3818	132	41	.	.	PUNCT
ap-3818	133	1	this	this	PRON
ap-3818	133	2	is	be	AUX
ap-3818	133	3	achieved	achieve	VERB
ap-3818	133	4	by	by	ADP
ap-3818	133	5	choosing	choose	VERB
ap-3818	133	6	r+	r+	X
ap-3818	133	7	s	s	PART
ap-3818	133	8	=	=	NOUN
ap-3818	133	9	0	0	NUM
ap-3818	133	10	,	,	PUNCT
ap-3818	133	11	1−	1−	NUM
ap-3818	134	1	q−	q−	PROPN
ap-3818	134	2	r	r	NOUN
ap-3818	134	3	=	=	NOUN
ap-3818	134	4	0	0	NUM
ap-3818	134	5	,	,	PUNCT
ap-3818	134	6	and	and	CCONJ
ap-3818	134	7	−2q+	−2q+	VERB
ap-3818	135	1	2r−	2r−	NUM
ap-3818	135	2	s	s	NOUN
ap-3818	135	3	=	=	NOUN
ap-3818	135	4	0	0	PROPN
ap-3818	135	5	.	.	PUNCT
ap-3818	136	1	then	then	ADV
ap-3818	136	2	,	,	PUNCT
ap-3818	136	3	q	q	NOUN
ap-3818	136	4	=	=	SYM
ap-3818	136	5	3/5	3/5	NUM
ap-3818	136	6	,	,	PUNCT
ap-3818	136	7	r	r	NOUN
ap-3818	136	8	=	=	SYM
ap-3818	136	9	2/5	2/5	NUM
ap-3818	136	10	,	,	PUNCT
ap-3818	136	11	and	and	CCONJ
ap-3818	136	12	s	s	NOUN
ap-3818	136	13	=	=	NOUN
ap-3818	136	14	−2/5	−2/5	NOUN
ap-3818	136	15	.	.	PUNCT
ap-3818	137	1	thus	thus	ADV
ap-3818	137	2	,	,	PUNCT
ap-3818	137	3	(	(	PUNCT
ap-3818	137	4	20	20	X
ap-3818	137	5	)	)	PUNCT
ap-3818	137	6	become	become	VERB
ap-3818	137	7	ψ̄	ψ̄	NOUN
ap-3818	138	1	+	+	CCONJ
ap-3818	138	2	(	(	PUNCT
ap-3818	138	3	τa	τa	VERB
ap-3818	138	4	τd	τd	ADV
ap-3818	138	5	)	)	PUNCT
ap-3818	138	6	2/5	2/5	NUM
ap-3818	138	7	ψ̃	ψ̃	NOUN
ap-3818	138	8	−	−	NOUN
ap-3818	138	9	ξϕ	ξϕ	PROPN
ap-3818	138	10	=	=	SYM
ap-3818	138	11	1	1	NUM
ap-3818	138	12	+	+	NUM
ap-3818	138	13	ωθ	ωθ	PROPN
ap-3818	138	14	ω	ω	NOUN
ap-3818	138	15	(	(	PUNCT
ap-3818	138	16	d2ψ̃	d2ψ̃	ADP
ap-3818	138	17	dξ2	dξ2	NOUN
ap-3818	138	18	−	−	PROPN
ap-3818	138	19	(	(	PUNCT
ap-3818	138	20	τa	τa	VERB
ap-3818	138	21	τd	τd	ADV
ap-3818	138	22	)	)	PUNCT
ap-3818	138	23	2/5	2/5	NUM
ap-3818	138	24	k2	k2	NOUN
ap-3818	138	25	(	(	PUNCT
ap-3818	138	26	ψ̄	ψ̄	NUM
ap-3818	139	1	+	+	CCONJ
ap-3818	139	2	(	(	PUNCT
ap-3818	139	3	τa	τa	VERB
ap-3818	139	4	τd	τd	ADV
ap-3818	139	5	)	)	PUNCT
ap-3818	139	6	2/5	2/5	NUM
ap-3818	139	7	ψ̃	ψ̃	PROPN
ap-3818	139	8	)	)	PUNCT
ap-3818	139	9	)	)	PUNCT
ap-3818	139	10	,	,	PUNCT
ap-3818	140	1	d2ϕ	d2ϕ	VERB
ap-3818	140	2	dξ2	dξ2	NOUN
ap-3818	140	3	−	−	PROPN
ap-3818	141	1	(	(	PUNCT
ap-3818	141	2	τa	τa	VERB
ap-3818	141	3	τd	τd	ADV
ap-3818	141	4	)	)	PUNCT
ap-3818	141	5	4/5	4/5	NOUN
ap-3818	141	6	k2ϕ	k2ϕ	NOUN
ap-3818	141	7	=	=	SYM
ap-3818	141	8	−	−	PROPN
ap-3818	142	1	(	(	PUNCT
ap-3818	142	2	k	k	PROPN
ap-3818	142	3	ω	ω	PROPN
ap-3818	142	4	)	)	PUNCT
ap-3818	142	5	2	2	NUM
ap-3818	142	6	ξ	ξ	PROPN
ap-3818	142	7	(	(	PUNCT
ap-3818	142	8	d2ψ̃	d2ψ̃	ADP
ap-3818	142	9	dξ2	dξ2	NOUN
ap-3818	142	10	−	−	PROPN
ap-3818	142	11	(	(	PUNCT
ap-3818	142	12	τa	τa	VERB
ap-3818	142	13	τd	τd	ADV
ap-3818	142	14	)	)	PUNCT
ap-3818	142	15	2/5	2/5	NUM
ap-3818	142	16	k2	k2	NOUN
ap-3818	142	17	(	(	PUNCT
ap-3818	142	18	ψ̄	ψ̄	NUM
ap-3818	142	19	+	+	CCONJ
ap-3818	142	20	(	(	PUNCT
ap-3818	142	21	τa	τa	VERB
ap-3818	142	22	τd	τd	ADV
ap-3818	142	23	)	)	PUNCT
ap-3818	142	24	2/5	2/5	NUM
ap-3818	142	25	ψ̃	ψ̃	PROPN
ap-3818	142	26	)	)	PUNCT
ap-3818	142	27	)	)	PUNCT
ap-3818	142	28	,	,	PUNCT
ap-3818	142	29	(	(	PUNCT
ap-3818	142	30	21	21	NUM
ap-3818	142	31	)	)	PUNCT
ap-3818	142	32	respectively	respectively	ADV
ap-3818	142	33	.	.	PUNCT
ap-3818	143	1	by	by	ADP
ap-3818	143	2	retaining	retain	VERB
ap-3818	143	3	only	only	ADJ
ap-3818	143	4	terms	term	NOUN
ap-3818	143	5	proportional	proportional	ADJ
ap-3818	143	6	to	to	ADP
ap-3818	143	7	the	the	DET
ap-3818	143	8	small	small	ADJ
ap-3818	143	9	scaling	scaling	NOUN
ap-3818	143	10	parameter	parameter	NOUN
ap-3818	143	11	τaτ	τaτ	PROPN
ap-3818	143	12	−1	−1	PROPN
ap-3818	143	13	d	d	PROPN
ap-3818	143	14	,	,	PUNCT
ap-3818	143	15	(	(	PUNCT
ap-3818	143	16	21	21	NUM
ap-3818	143	17	)	)	PUNCT
ap-3818	143	18	approach	approach	NOUN
ap-3818	143	19	ψ̄	ψ̄	NOUN
ap-3818	144	1	−	−	PROPN
ap-3818	144	2	ξϕ	ξϕ	NOUN
ap-3818	144	3	=	=	NOUN
ap-3818	144	4	1	1	NUM
ap-3818	144	5	+	+	NUM
ap-3818	144	6	ωθ	ωθ	NUM
ap-3818	144	7	ω	ω	NUM
ap-3818	144	8	d2ψ̃	d2ψ̃	NOUN
ap-3818	144	9	dξ2	dξ2	NOUN
ap-3818	144	10	,	,	PUNCT
ap-3818	144	11	d2ϕ	d2ϕ	VERB
ap-3818	144	12	dξ2	dξ2	NOUN
ap-3818	144	13	=	=	PUNCT
ap-3818	144	14	−	−	PROPN
ap-3818	145	1	(	(	PUNCT
ap-3818	145	2	k	k	PROPN
ap-3818	145	3	ω	ω	PROPN
ap-3818	145	4	)	)	PUNCT
ap-3818	145	5	2	2	NUM
ap-3818	145	6	ξ	ξ	PROPN
ap-3818	145	7	d2ψ̃	d2ψ̃	NOUN
ap-3818	145	8	dξ2	dξ2	NOUN
ap-3818	145	9	,	,	PUNCT
ap-3818	145	10	(	(	PUNCT
ap-3818	145	11	22	22	NUM
ap-3818	145	12	)	)	PUNCT
ap-3818	145	13	respectively	respectively	ADV
ap-3818	145	14	.	.	PUNCT
ap-3818	146	1	by	by	ADP
ap-3818	146	2	combining	combine	VERB
ap-3818	146	3	(	(	PUNCT
ap-3818	146	4	22	22	NUM
ap-3818	146	5	)	)	PUNCT
ap-3818	146	6	,	,	PUNCT
ap-3818	146	7	we	we	PRON
ap-3818	146	8	obtain	obtain	VERB
ap-3818	146	9	d2ϕ	d2ϕ	NOUN
ap-3818	146	10	dξ2	dξ2	NOUN
ap-3818	146	11	=	=	SYM
ap-3818	146	12	−	−	PROPN
ap-3818	146	13	k2	k2	NOUN
ap-3818	146	14	(	(	PUNCT
ap-3818	146	15	1	1	NUM
ap-3818	146	16	+	+	CCONJ
ap-3818	146	17	ωθ)ωξ(ψ̄	ωθ)ωξ(ψ̄	NUM
ap-3818	146	18	−	−	NUM
ap-3818	146	19	ξϕ	ξϕ	PROPN
ap-3818	146	20	)	)	PUNCT
ap-3818	146	21	.	.	PUNCT
ap-3818	147	1	(	(	PUNCT
ap-3818	147	2	23	23	NUM
ap-3818	147	3	)	)	PUNCT
ap-3818	147	4	in	in	ADP
ap-3818	147	5	order	order	NOUN
ap-3818	147	6	to	to	PART
ap-3818	147	7	solve	solve	VERB
ap-3818	147	8	(	(	PUNCT
ap-3818	147	9	23	23	NUM
ap-3818	147	10	)	)	PUNCT
ap-3818	147	11	,	,	PUNCT
ap-3818	147	12	it	it	PRON
ap-3818	147	13	proves	prove	VERB
ap-3818	147	14	useful	useful	ADJ
ap-3818	147	15	to	to	PART
ap-3818	147	16	introduce	introduce	VERB
ap-3818	147	17	the	the	DET
ap-3818	147	18	transformations	transformation	NOUN
ap-3818	147	19	ξ	ξ	NOUN
ap-3818	148	1	=	=	SYM
ap-3818	148	2	(	(	PUNCT
ap-3818	148	3	(	(	PUNCT
ap-3818	148	4	1	1	NUM
ap-3818	148	5	+	+	NUM
ap-3818	148	6	ωθ)ω	ωθ)ω	PROPN
ap-3818	148	7	k2	k2	NOUN
ap-3818	148	8	)	)	PUNCT
ap-3818	148	9	1/4	1/4	NUM
ap-3818	148	10	ζ	ζ	NOUN
ap-3818	148	11	,	,	PUNCT
ap-3818	148	12	ϕ(ξ	ϕ(ξ	PROPN
ap-3818	148	13	)	)	PUNCT
ap-3818	148	14	=	=	SYM
ap-3818	149	1	−	−	PROPN
ap-3818	149	2	(	(	PUNCT
ap-3818	149	3	k2	k2	X
ap-3818	149	4	(	(	PUNCT
ap-3818	149	5	1	1	NUM
ap-3818	149	6	+	+	CCONJ
ap-3818	149	7	ωθ)ω	ωθ)ω	NUM
ap-3818	149	8	)	)	PUNCT
ap-3818	149	9	1/4	1/4	NUM
ap-3818	149	10	ψ̄f(ζ	ψ̄f(ζ	NOUN
ap-3818	149	11	)	)	PUNCT
ap-3818	149	12	.	.	PUNCT
ap-3818	150	1	(	(	PUNCT
ap-3818	150	2	24	24	NUM
ap-3818	150	3	)	)	PUNCT
ap-3818	150	4	by	by	ADP
ap-3818	150	5	substituting	substitute	VERB
ap-3818	150	6	(	(	PUNCT
ap-3818	150	7	24	24	NUM
ap-3818	150	8	)	)	PUNCT
ap-3818	150	9	in	in	ADP
ap-3818	150	10	(	(	PUNCT
ap-3818	150	11	23	23	NUM
ap-3818	150	12	)	)	PUNCT
ap-3818	150	13	,	,	PUNCT
ap-3818	150	14	we	we	PRON
ap-3818	150	15	obtain	obtain	VERB
ap-3818	150	16	d2f	d2f	NOUN
ap-3818	150	17	dζ2	dζ2	PROPN
ap-3818	150	18	=	=	SYM
ap-3818	150	19	ζ(1	ζ(1	PROPN
ap-3818	150	20	+	+	CCONJ
ap-3818	150	21	ζf	ζf	NOUN
ap-3818	150	22	)	)	PUNCT
ap-3818	150	23	.	.	PUNCT
ap-3818	151	1	(	(	PUNCT
ap-3818	151	2	25	25	NUM
ap-3818	151	3	)	)	PUNCT
ap-3818	151	4	the	the	DET
ap-3818	151	5	solution	solution	NOUN
ap-3818	151	6	of	of	ADP
ap-3818	151	7	(	(	PUNCT
ap-3818	151	8	25	25	NUM
ap-3818	151	9	)	)	PUNCT
ap-3818	151	10	can	can	AUX
ap-3818	151	11	be	be	AUX
ap-3818	151	12	written	write	VERB
ap-3818	151	13	in	in	ADP
ap-3818	151	14	terms	term	NOUN
ap-3818	151	15	of	of	ADP
ap-3818	151	16	the	the	DET
ap-3818	151	17	integral	integral	ADJ
ap-3818	151	18	representation	representation	NOUN
ap-3818	151	19	[	[	X
ap-3818	151	20	43	43	NUM
ap-3818	151	21	,	,	PUNCT
ap-3818	151	22	44	44	NUM
ap-3818	151	23	]	]	PUNCT
ap-3818	151	24	f(ζ	f(ζ	NOUN
ap-3818	151	25	)	)	PUNCT
ap-3818	152	1	=	=	PUNCT
ap-3818	153	1	−ζ	−ζ	NOUN
ap-3818	153	2	∫	∫	PROPN
ap-3818	153	3	1/2	1/2	NUM
ap-3818	153	4	0	0	NUM
ap-3818	153	5	1	1	NUM
ap-3818	153	6	(	(	PUNCT
ap-3818	153	7	1−	1−	NUM
ap-3818	153	8	4β2)1/4	4β2)1/4	NUM
ap-3818	153	9	e−ζ	e−ζ	ADP
ap-3818	153	10	2βdβ	2βdβ	PROPN
ap-3818	153	11	,	,	PUNCT
ap-3818	153	12	(	(	PUNCT
ap-3818	153	13	26	26	NUM
ap-3818	153	14	)	)	PUNCT
ap-3818	153	15	which	which	PRON
ap-3818	153	16	implies	imply	VERB
ap-3818	153	17	the	the	DET
ap-3818	153	18	asymptotic	asymptotic	ADJ
ap-3818	153	19	behavior	behavior	NOUN
ap-3818	153	20	f(ζ	f(ζ	NOUN
ap-3818	153	21	)	)	PUNCT
ap-3818	154	1	=	=	SYM
ap-3818	154	2	−1	−1	NOUN
ap-3818	154	3	ζ	ζ	NOUN
ap-3818	154	4	−	−	PROPN
ap-3818	154	5	2	2	NUM
ap-3818	154	6	ζ5	ζ5	NOUN
ap-3818	154	7	−	−	PROPN
ap-3818	154	8	.	.	PUNCT
ap-3818	154	9	.	.	PUNCT
ap-3818	154	10	.	.	PUNCT
ap-3818	155	1	(	(	PUNCT
ap-3818	155	2	27	27	NUM
ap-3818	155	3	)	)	PUNCT
ap-3818	155	4	in	in	ADP
ap-3818	155	5	the	the	DET
ap-3818	155	6	limit	limit	NOUN
ap-3818	155	7	|ζ|	|ζ|	ADP
ap-3818	155	8	�	�	PROPN
ap-3818	155	9	1	1	NUM
ap-3818	155	10	.	.	PUNCT
ap-3818	155	11	2.2	2.2	NUM
ap-3818	155	12	.	.	PUNCT
ap-3818	156	1	asymptotic	asymptotic	ADJ
ap-3818	156	2	matching	matching	NOUN
ap-3818	156	3	and	and	CCONJ
ap-3818	156	4	growth	growth	NOUN
ap-3818	156	5	rate	rate	NOUN
ap-3818	156	6	in	in	ADP
ap-3818	156	7	order	order	NOUN
ap-3818	156	8	to	to	PART
ap-3818	156	9	asymptotically	asymptotically	ADV
ap-3818	156	10	match	match	VERB
ap-3818	156	11	the	the	DET
ap-3818	156	12	solutions	solution	NOUN
ap-3818	156	13	of	of	ADP
ap-3818	156	14	(	(	PUNCT
ap-3818	156	15	10	10	NUM
ap-3818	156	16	)	)	PUNCT
ap-3818	156	17	in	in	ADP
ap-3818	156	18	the	the	DET
ap-3818	156	19	ideal	ideal	ADJ
ap-3818	156	20	region	region	NOUN
ap-3818	156	21	and	and	CCONJ
ap-3818	156	22	inside	inside	ADP
ap-3818	156	23	the	the	DET
ap-3818	156	24	resistive	resistive	ADJ
ap-3818	156	25	layer	layer	NOUN
ap-3818	156	26	,	,	PUNCT
ap-3818	156	27	it	it	PRON
ap-3818	156	28	is	be	AUX
ap-3818	156	29	35	35	NUM
ap-3818	156	30	f.	f.	PROPN
ap-3818	156	31	e.	e.	PROPN
ap-3818	156	32	m.	m.	PROPN
ap-3818	156	33	silveira	silveira	PROPN
ap-3818	156	34	acta	acta	PROPN
ap-3818	156	35	polytechnica	polytechnica	PROPN
ap-3818	156	36	sufficient	sufficient	ADJ
ap-3818	156	37	to	to	PART
ap-3818	156	38	identify	identify	VERB
ap-3818	156	39	(	(	PUNCT
ap-3818	156	40	18	18	NUM
ap-3818	156	41	)	)	PUNCT
ap-3818	156	42	with	with	ADP
ap-3818	156	43	the	the	DET
ap-3818	156	44	jump	jump	NOUN
ap-3818	156	45	in	in	ADP
ap-3818	156	46	the	the	DET
ap-3818	156	47	logarithmic	logarithmic	ADJ
ap-3818	156	48	derivative	derivative	NOUN
ap-3818	156	49	of	of	ADP
ap-3818	156	50	the	the	DET
ap-3818	156	51	scaled	scale	VERB
ap-3818	156	52	ψ	ψ	NOUN
ap-3818	156	53	across	across	ADP
ap-3818	156	54	the	the	DET
ap-3818	156	55	resistive	resistive	ADJ
ap-3818	156	56	layer	layer	NOUN
ap-3818	156	57	,	,	PUNCT
ap-3818	156	58	to	to	ADP
ap-3818	156	59	the	the	DET
ap-3818	156	60	lowest	low	ADJ
ap-3818	156	61	order	order	NOUN
ap-3818	156	62	.	.	PUNCT
ap-3818	157	1	thus	thus	ADV
ap-3818	157	2	,	,	PUNCT
ap-3818	157	3	given	give	VERB
ap-3818	157	4	the	the	DET
ap-3818	157	5	scaling	scaling	NOUN
ap-3818	157	6	(	(	PUNCT
ap-3818	157	7	19	19	NUM
ap-3818	157	8	)	)	PUNCT
ap-3818	157	9	,	,	PUNCT
ap-3818	157	10	we	we	PRON
ap-3818	157	11	identify	identify	VERB
ap-3818	157	12	∆′	∆′	PROPN
ap-3818	157	13	=	=	NOUN
ap-3818	157	14	1	1	NUM
ap-3818	157	15	ψ̄	ψ̄	NOUN
ap-3818	157	16	∫	∫	PROPN
ap-3818	158	1	+	+	NOUN
ap-3818	158	2	w/2	w/2	PROPN
ap-3818	158	3	−w/2	−w/2	PROPN
ap-3818	158	4	d2ψ̃	d2ψ̃	NOUN
ap-3818	158	5	dξ2	dξ2	PROPN
ap-3818	158	6	dξ	dξ	PROPN
ap-3818	158	7	,	,	PUNCT
ap-3818	158	8	(	(	PUNCT
ap-3818	158	9	28	28	NUM
ap-3818	158	10	)	)	PUNCT
ap-3818	158	11	where	where	SCONJ
ap-3818	158	12	w	w	NOUN
ap-3818	158	13	>	>	X
ap-3818	158	14	0	0	NUM
ap-3818	158	15	is	be	AUX
ap-3818	158	16	the	the	DET
ap-3818	158	17	(	(	PUNCT
ap-3818	158	18	scaled	scale	VERB
ap-3818	158	19	,	,	PUNCT
ap-3818	158	20	dimensionless	dimensionless	NOUN
ap-3818	158	21	)	)	PUNCT
ap-3818	158	22	width	width	NOUN
ap-3818	158	23	of	of	ADP
ap-3818	158	24	the	the	DET
ap-3818	158	25	resistive	resistive	ADJ
ap-3818	158	26	layer	layer	NOUN
ap-3818	158	27	.	.	PUNCT
ap-3818	159	1	by	by	ADP
ap-3818	159	2	combining	combine	VERB
ap-3818	159	3	the	the	DET
ap-3818	159	4	second	second	NOUN
ap-3818	159	5	of	of	ADP
ap-3818	159	6	(	(	PUNCT
ap-3818	159	7	22	22	NUM
ap-3818	159	8	)	)	PUNCT
ap-3818	159	9	with	with	ADP
ap-3818	159	10	(	(	PUNCT
ap-3818	159	11	28	28	NUM
ap-3818	159	12	)	)	PUNCT
ap-3818	159	13	,	,	PUNCT
ap-3818	159	14	we	we	PRON
ap-3818	159	15	obtain	obtain	VERB
ap-3818	159	16	∆′	∆′	PROPN
ap-3818	159	17	=	=	SYM
ap-3818	159	18	−	−	PROPN
ap-3818	159	19	(	(	PUNCT
ap-3818	159	20	ω	ω	NOUN
ap-3818	159	21	k	k	PROPN
ap-3818	159	22	)	)	PUNCT
ap-3818	159	23	2	2	NUM
ap-3818	159	24	1	1	NUM
ap-3818	159	25	ψ̄	ψ̄	NOUN
ap-3818	159	26	∫	∫	PROPN
ap-3818	160	1	+	+	NOUN
ap-3818	160	2	w/2	w/2	PROPN
ap-3818	160	3	−w/2	−w/2	PROPN
ap-3818	160	4	d2ϕ	d2ϕ	PROPN
ap-3818	160	5	dξ2	dξ2	NOUN
ap-3818	160	6	dξ	dξ	PROPN
ap-3818	160	7	ξ	ξ	PROPN
ap-3818	160	8	.	.	PUNCT
ap-3818	161	1	(	(	PUNCT
ap-3818	161	2	29	29	NUM
ap-3818	161	3	)	)	PUNCT
ap-3818	161	4	by	by	ADP
ap-3818	161	5	substituting	substitute	VERB
ap-3818	161	6	(	(	PUNCT
ap-3818	161	7	24	24	NUM
ap-3818	161	8	)	)	PUNCT
ap-3818	161	9	in	in	ADP
ap-3818	161	10	(	(	PUNCT
ap-3818	161	11	29	29	NUM
ap-3818	161	12	)	)	PUNCT
ap-3818	161	13	,	,	PUNCT
ap-3818	161	14	we	we	PRON
ap-3818	161	15	obtain	obtain	VERB
ap-3818	161	16	∆′	∆′	X
ap-3818	161	17	=	=	SYM
ap-3818	161	18	ω5/4	ω5/4	NUM
ap-3818	161	19	k1/2(1	k1/2(1	NOUN
ap-3818	162	1	+	+	CCONJ
ap-3818	162	2	ωθ)3/4	ωθ)3/4	PROPN
ap-3818	162	3	∫	∫	PROPN
ap-3818	163	1	+	+	PROPN
ap-3818	163	2	∞	∞	PROPN
ap-3818	163	3	−∞	−∞	X
ap-3818	163	4	d2f	d2f	NOUN
ap-3818	163	5	dζ2	dζ2	VERB
ap-3818	163	6	dζ	dζ	PROPN
ap-3818	163	7	ζ	ζ	PROPN
ap-3818	163	8	,	,	PUNCT
ap-3818	163	9	(	(	PUNCT
ap-3818	163	10	30	30	NUM
ap-3818	163	11	)	)	PUNCT
ap-3818	163	12	where	where	SCONJ
ap-3818	163	13	we	we	PRON
ap-3818	163	14	have	have	AUX
ap-3818	163	15	extended	extend	VERB
ap-3818	163	16	the	the	DET
ap-3818	163	17	limits	limit	NOUN
ap-3818	163	18	of	of	ADP
ap-3818	163	19	the	the	DET
ap-3818	163	20	integral	integral	ADJ
ap-3818	163	21	to	to	ADP
ap-3818	163	22	±∞	±∞	PROPN
ap-3818	163	23	because	because	SCONJ
ap-3818	163	24	the	the	DET
ap-3818	163	25	integrand	integrand	NOUN
ap-3818	163	26	∼	∼	NOUN
ap-3818	163	27	−ζ−4	−ζ−4	NUM
ap-3818	163	28	inside	inside	ADP
ap-3818	163	29	the	the	DET
ap-3818	163	30	resistive	resistive	ADJ
ap-3818	163	31	layer	layer	NOUN
ap-3818	163	32	,	,	PUNCT
ap-3818	163	33	according	accord	VERB
ap-3818	163	34	to	to	ADP
ap-3818	163	35	the	the	DET
ap-3818	163	36	asymptotic	asymptotic	ADJ
ap-3818	163	37	behavior	behavior	NOUN
ap-3818	163	38	of	of	ADP
ap-3818	163	39	f	f	PROPN
ap-3818	163	40	in	in	ADP
ap-3818	163	41	the	the	DET
ap-3818	163	42	limit	limit	NOUN
ap-3818	163	43	|ζ|	|ζ|	ADP
ap-3818	163	44	�	�	PROPN
ap-3818	163	45	1	1	NUM
ap-3818	163	46	,	,	PUNCT
ap-3818	163	47	as	as	SCONJ
ap-3818	163	48	given	give	VERB
ap-3818	163	49	by	by	ADP
ap-3818	163	50	(	(	PUNCT
ap-3818	163	51	27	27	NUM
ap-3818	163	52	)	)	PUNCT
ap-3818	163	53	.	.	PUNCT
ap-3818	164	1	actually	actually	ADV
ap-3818	164	2	,	,	PUNCT
ap-3818	164	3	in	in	ADP
ap-3818	164	4	accordance	accordance	NOUN
ap-3818	164	5	with	with	ADP
ap-3818	164	6	(	(	PUNCT
ap-3818	164	7	26	26	NUM
ap-3818	164	8	)	)	PUNCT
ap-3818	164	9	,	,	PUNCT
ap-3818	164	10	the	the	DET
ap-3818	164	11	integral	integral	ADJ
ap-3818	164	12	in	in	ADP
ap-3818	164	13	(	(	PUNCT
ap-3818	164	14	30	30	NUM
ap-3818	164	15	)	)	PUNCT
ap-3818	164	16	can	can	AUX
ap-3818	164	17	be	be	AUX
ap-3818	164	18	written	write	VERB
ap-3818	164	19	as∫	as∫	PROPN
ap-3818	164	20	ζ=+∞	ζ=+∞	ADJ
ap-3818	164	21	ζ=−∞	ζ=−∞	PUNCT
ap-3818	165	1	d2f	d2f	PROPN
ap-3818	165	2	dζ2	dζ2	VERB
ap-3818	165	3	dζ	dζ	PROPN
ap-3818	165	4	ζ	ζ	NOUN
ap-3818	165	5	=	=	SYM
ap-3818	165	6	2	2	NUM
ap-3818	165	7	∫	∫	NOUN
ap-3818	165	8	ζ=+∞	ζ=+∞	ADJ
ap-3818	165	9	ζ=−∞	ζ=−∞	PUNCT
ap-3818	166	1	dζ	dζ	PROPN
ap-3818	166	2	∫	∫	PROPN
ap-3818	166	3	β=1/2	β=1/2	PUNCT
ap-3818	167	1	β=0	β=0	PROPN
ap-3818	167	2	3β	3β	NUM
ap-3818	167	3	−	−	PROPN
ap-3818	167	4	2ζ2β2	2ζ2β2	NUM
ap-3818	167	5	(	(	PUNCT
ap-3818	167	6	1−	1−	NUM
ap-3818	167	7	4β2)1/4	4β2)1/4	NUM
ap-3818	167	8	e−ζ	e−ζ	ADP
ap-3818	167	9	2βdβ	2βdβ	PROPN
ap-3818	167	10	.	.	PUNCT
ap-3818	168	1	(	(	PUNCT
ap-3818	168	2	31	31	NUM
ap-3818	168	3	)	)	PUNCT
ap-3818	168	4	since	since	SCONJ
ap-3818	168	5	the	the	DET
ap-3818	168	6	integral	integral	ADJ
ap-3818	168	7	(	(	PUNCT
ap-3818	168	8	31	31	NUM
ap-3818	168	9	)	)	PUNCT
ap-3818	168	10	can	can	AUX
ap-3818	168	11	be	be	AUX
ap-3818	168	12	expressed	express	VERB
ap-3818	168	13	in	in	ADP
ap-3818	168	14	terms	term	NOUN
ap-3818	168	15	of	of	ADP
ap-3818	168	16	gamma	gamma	NOUN
ap-3818	168	17	functions	function	NOUN
ap-3818	169	1	[	[	X
ap-3818	169	2	41	41	NUM
ap-3818	169	3	]	]	PUNCT
ap-3818	169	4	,	,	PUNCT
ap-3818	169	5	(	(	PUNCT
ap-3818	169	6	30	30	NUM
ap-3818	169	7	)	)	PUNCT
ap-3818	169	8	finally	finally	ADV
ap-3818	169	9	yields	yield	VERB
ap-3818	169	10	the	the	DET
ap-3818	169	11	sought	seek	VERB
ap-3818	169	12	identification	identification	NOUN
ap-3818	169	13	,	,	PUNCT
ap-3818	169	14	∆′	∆′	PROPN
ap-3818	169	15	=	=	SYM
ap-3818	169	16	2πγ(3/4	2πγ(3/4	PROPN
ap-3818	169	17	)	)	PUNCT
ap-3818	169	18	k1/2γ(1/4	k1/2γ(1/4	PROPN
ap-3818	169	19	)	)	PUNCT
ap-3818	169	20	ω5/4	ω5/4	NUM
ap-3818	169	21	(	(	PUNCT
ap-3818	169	22	1	1	NUM
ap-3818	169	23	+	+	NUM
ap-3818	169	24	ωθ)3/4	ωθ)3/4	NOUN
ap-3818	169	25	.	.	PUNCT
ap-3818	170	1	(	(	PUNCT
ap-3818	170	2	32	32	NUM
ap-3818	170	3	)	)	PUNCT
ap-3818	170	4	on	on	ADP
ap-3818	170	5	the	the	DET
ap-3818	170	6	assumption	assumption	NOUN
ap-3818	170	7	that	that	SCONJ
ap-3818	170	8	∆′	∆′	PROPN
ap-3818	170	9	is	be	AUX
ap-3818	170	10	known	know	VERB
ap-3818	170	11	,	,	PUNCT
ap-3818	170	12	(	(	PUNCT
ap-3818	170	13	32	32	NUM
ap-3818	170	14	)	)	PUNCT
ap-3818	170	15	implies	imply	VERB
ap-3818	170	16	ω5/4	ω5/4	NUM
ap-3818	170	17	(	(	PUNCT
ap-3818	170	18	1	1	NUM
ap-3818	170	19	+	+	NUM
ap-3818	170	20	ωθ)3/4	ωθ)3/4	NOUN
ap-3818	170	21	=	=	SYM
ap-3818	170	22	∆′γ(1/4	∆′γ(1/4	PROPN
ap-3818	170	23	)	)	PUNCT
ap-3818	170	24	2πγ(3/4)k	2πγ(3/4)k	NUM
ap-3818	170	25	1/2	1/2	NUM
ap-3818	170	26	.	.	PUNCT
ap-3818	171	1	(	(	PUNCT
ap-3818	171	2	33	33	NUM
ap-3818	171	3	)	)	PUNCT
ap-3818	171	4	therefore	therefore	ADV
ap-3818	171	5	,	,	PUNCT
ap-3818	171	6	according	accord	VERB
ap-3818	171	7	to	to	ADP
ap-3818	171	8	the	the	DET
ap-3818	171	9	scaling	scaling	NOUN
ap-3818	171	10	(	(	PUNCT
ap-3818	171	11	19	19	NUM
ap-3818	171	12	)	)	PUNCT
ap-3818	171	13	,	,	PUNCT
ap-3818	171	14	(	(	PUNCT
ap-3818	171	15	33	33	NUM
ap-3818	171	16	)	)	PUNCT
ap-3818	171	17	can	can	AUX
ap-3818	171	18	be	be	AUX
ap-3818	171	19	written	write	VERB
ap-3818	171	20	as	as	ADP
ap-3818	171	21	γ5/4	γ5/4	NOUN
ap-3818	171	22	(	(	PUNCT
ap-3818	171	23	1	1	NUM
ap-3818	171	24	+	+	NUM
ap-3818	171	25	γτcτ	γτcτ	ADV
ap-3818	171	26	−1	−1	ADV
ap-3818	171	27	a	a	PRON
ap-3818	171	28	)	)	PUNCT
ap-3818	171	29	3/4	3/4	NUM
ap-3818	171	30	=	=	SYM
ap-3818	171	31	∆′γ(1/4	∆′γ(1/4	NOUN
ap-3818	171	32	)	)	PUNCT
ap-3818	171	33	2πγ(3/4)k	2πγ(3/4)k	NOUN
ap-3818	171	34	1/2τ	1/2τ	NUM
ap-3818	171	35	3/4	3/4	NUM
ap-3818	171	36	a	a	DET
ap-3818	171	37	τ	τ	PROPN
ap-3818	171	38	−3/4	−3/4	NOUN
ap-3818	171	39	d	d	PROPN
ap-3818	171	40	,	,	PUNCT
ap-3818	171	41	(	(	PUNCT
ap-3818	171	42	34	34	NUM
ap-3818	171	43	)	)	PUNCT
ap-3818	171	44	in	in	ADP
ap-3818	171	45	terms	term	NOUN
ap-3818	171	46	of	of	ADP
ap-3818	171	47	dimensionless	dimensionless	NOUN
ap-3818	171	48	quantities	quantity	NOUN
ap-3818	171	49	.	.	PUNCT
ap-3818	172	1	by	by	ADP
ap-3818	172	2	plugging	plug	VERB
ap-3818	172	3	back	back	ADP
ap-3818	172	4	the	the	DET
ap-3818	172	5	actual	actual	ADJ
ap-3818	172	6	physical	physical	ADJ
ap-3818	172	7	quantities	quantity	NOUN
ap-3818	172	8	in	in	ADP
ap-3818	172	9	(	(	PUNCT
ap-3818	172	10	34	34	NUM
ap-3818	172	11	)	)	PUNCT
ap-3818	172	12	,	,	PUNCT
ap-3818	172	13	we	we	PRON
ap-3818	172	14	finally	finally	ADV
ap-3818	172	15	read	read	VERB
ap-3818	172	16	γ5/4	γ5/4	PROPN
ap-3818	172	17	(	(	PUNCT
ap-3818	172	18	1	1	NUM
ap-3818	172	19	+	+	NUM
ap-3818	172	20	γτc)3/4	γτc)3/4	NOUN
ap-3818	172	21	=	=	SYM
ap-3818	172	22	∆′aγ(1/4	∆′aγ(1/4	PROPN
ap-3818	172	23	)	)	PUNCT
ap-3818	172	24	2πγ(3/4	2πγ(3/4	NOUN
ap-3818	172	25	)	)	PUNCT
ap-3818	172	26	(	(	PUNCT
ap-3818	172	27	ka)1/2τ	ka)1/2τ	PROPN
ap-3818	172	28	−1/2	−1/2	VERB
ap-3818	172	29	a	a	DET
ap-3818	172	30	τ	τ	PROPN
ap-3818	172	31	−3/4	−3/4	NOUN
ap-3818	172	32	d	d	X
ap-3818	172	33	.	.	PUNCT
ap-3818	173	1	(	(	PUNCT
ap-3818	173	2	35	35	NUM
ap-3818	173	3	)	)	PUNCT
ap-3818	173	4	equation	equation	NOUN
ap-3818	173	5	(	(	PUNCT
ap-3818	173	6	35	35	NUM
ap-3818	173	7	)	)	PUNCT
ap-3818	173	8	shows	show	VERB
ap-3818	173	9	that	that	SCONJ
ap-3818	173	10	if	if	SCONJ
ap-3818	173	11	∆′	∆′	PROPN
ap-3818	173	12	>	>	X
ap-3818	173	13	0	0	PROPN
ap-3818	173	14	,	,	PUNCT
ap-3818	173	15	then	then	ADV
ap-3818	173	16	γ	γ	X
ap-3818	173	17	>	>	X
ap-3818	173	18	0	0	NUM
ap-3818	173	19	,	,	PUNCT
ap-3818	173	20	and	and	CCONJ
ap-3818	173	21	the	the	DET
ap-3818	173	22	aforementioned	aforementioned	ADJ
ap-3818	173	23	static	static	ADJ
ap-3818	173	24	state	state	NOUN
ap-3818	173	25	of	of	ADP
ap-3818	173	26	equilibrium	equilibrium	NOUN
ap-3818	173	27	becomes	become	VERB
ap-3818	173	28	unstable	unstable	ADJ
ap-3818	173	29	to	to	ADP
ap-3818	173	30	the	the	DET
ap-3818	173	31	linear	linear	ADJ
ap-3818	173	32	perturbation	perturbation	NOUN
ap-3818	173	33	.	.	PUNCT
ap-3818	174	1	in	in	ADP
ap-3818	174	2	particular	particular	ADJ
ap-3818	174	3	,	,	PUNCT
ap-3818	174	4	for	for	ADP
ap-3818	174	5	sufficiently	sufficiently	ADV
ap-3818	174	6	long	long	ADJ
ap-3818	174	7	perturbative	perturbative	ADJ
ap-3818	174	8	wavelengths	wavelength	NOUN
ap-3818	174	9	,	,	PUNCT
ap-3818	174	10	inertial	inertial	ADJ
ap-3818	174	11	effects	effect	NOUN
ap-3818	174	12	due	due	ADJ
ap-3818	174	13	to	to	ADP
ap-3818	174	14	charged	charge	VERB
ap-3818	174	15	species	specie	NOUN
ap-3818	174	16	are	be	AUX
ap-3818	174	17	negligible	negligible	ADJ
ap-3818	174	18	,	,	PUNCT
ap-3818	174	19	γτc	γτc	VERB
ap-3818	174	20	�	�	PROPN
ap-3818	174	21	1	1	NUM
ap-3818	174	22	,	,	PUNCT
ap-3818	174	23	and	and	CCONJ
ap-3818	174	24	(	(	PUNCT
ap-3818	174	25	35	35	NUM
ap-3818	174	26	)	)	PUNCT
ap-3818	174	27	simplifies	simplifie	NOUN
ap-3818	174	28	to	to	ADP
ap-3818	174	29	γ	γ	X
ap-3818	174	30	=	=	SYM
ap-3818	174	31	(	(	PUNCT
ap-3818	174	32	∆′aγ(1/4	∆′aγ(1/4	PROPN
ap-3818	174	33	)	)	PUNCT
ap-3818	174	34	2πγ(3/4	2πγ(3/4	NOUN
ap-3818	174	35	)	)	PUNCT
ap-3818	174	36	)	)	PUNCT
ap-3818	175	1	4/5	4/5	NOUN
ap-3818	175	2	(	(	PUNCT
ap-3818	175	3	ka)2/5τ	ka)2/5τ	NOUN
ap-3818	175	4	−2/5	−2/5	NOUN
ap-3818	175	5	a	a	X
ap-3818	175	6	τ	τ	PROPN
ap-3818	175	7	−3/5	−3/5	PROPN
ap-3818	175	8	d	d	X
ap-3818	175	9	.	.	PUNCT
ap-3818	176	1	(	(	PUNCT
ap-3818	176	2	36	36	NUM
ap-3818	176	3	)	)	PUNCT
ap-3818	176	4	equation	equation	NOUN
ap-3818	176	5	(	(	PUNCT
ap-3818	176	6	36	36	NUM
ap-3818	176	7	)	)	PUNCT
ap-3818	176	8	shows	show	VERB
ap-3818	176	9	the	the	DET
ap-3818	176	10	standard	standard	ADJ
ap-3818	176	11	result	result	NOUN
ap-3818	176	12	of	of	ADP
ap-3818	176	13	the	the	DET
ap-3818	176	14	analytical	analytical	ADJ
ap-3818	176	15	theory	theory	NOUN
ap-3818	176	16	of	of	ADP
ap-3818	176	17	tearing	tear	VERB
ap-3818	176	18	modes	mode	NOUN
ap-3818	176	19	,	,	PUNCT
ap-3818	176	20	which	which	PRON
ap-3818	176	21	establishes	establish	VERB
ap-3818	176	22	that	that	SCONJ
ap-3818	176	23	the	the	DET
ap-3818	176	24	growth	growth	NOUN
ap-3818	176	25	rate	rate	NOUN
ap-3818	176	26	γ	γ	PROPN
ap-3818	176	27	scales	scale	VERB
ap-3818	176	28	with	with	ADP
ap-3818	176	29	the	the	DET
ap-3818	176	30	plasma	plasma	NOUN
ap-3818	176	31	resistivity	resistivity	PROPN
ap-3818	176	32	η	η	PROPN
ap-3818	176	33	as	as	ADP
ap-3818	176	34	γ	γ	X
ap-3818	176	35	∼	∼	NOUN
ap-3818	176	36	η3/5	η3/5	NOUN
ap-3818	176	37	[	[	X
ap-3818	176	38	30	30	NUM
ap-3818	176	39	]	]	SYM
ap-3818	176	40	.	.	PUNCT
ap-3818	177	1	3	3	X
ap-3818	177	2	.	.	X
ap-3818	177	3	growth	growth	NOUN
ap-3818	177	4	rate	rate	NOUN
ap-3818	177	5	amplification	amplification	NOUN
ap-3818	177	6	now	now	ADV
ap-3818	177	7	we	we	PRON
ap-3818	177	8	get	get	VERB
ap-3818	177	9	to	to	ADP
ap-3818	177	10	the	the	DET
ap-3818	177	11	main	main	ADJ
ap-3818	177	12	result	result	NOUN
ap-3818	177	13	of	of	ADP
ap-3818	177	14	this	this	DET
ap-3818	177	15	work	work	NOUN
ap-3818	177	16	.	.	PUNCT
ap-3818	178	1	for	for	ADP
ap-3818	178	2	sufficiently	sufficiently	ADV
ap-3818	178	3	short	short	ADJ
ap-3818	178	4	wavelengths	wavelength	NOUN
ap-3818	178	5	,	,	PUNCT
ap-3818	178	6	inertial	inertial	ADJ
ap-3818	178	7	effects	effect	NOUN
ap-3818	178	8	can	can	AUX
ap-3818	178	9	become	become	VERB
ap-3818	178	10	important	important	ADJ
ap-3818	178	11	.	.	PUNCT
ap-3818	179	1	then	then	ADV
ap-3818	179	2	,	,	PUNCT
ap-3818	179	3	in	in	ADP
ap-3818	179	4	the	the	DET
ap-3818	179	5	limit	limit	NOUN
ap-3818	179	6	γτc	γτc	VERB
ap-3818	179	7	�	�	PROPN
ap-3818	179	8	1	1	NUM
ap-3818	179	9	,	,	PUNCT
ap-3818	179	10	from	from	ADP
ap-3818	179	11	(	(	PUNCT
ap-3818	179	12	35	35	NUM
ap-3818	179	13	)	)	PUNCT
ap-3818	179	14	,	,	PUNCT
ap-3818	179	15	we	we	PRON
ap-3818	179	16	find	find	VERB
ap-3818	179	17	that	that	SCONJ
ap-3818	179	18	γ	γ	PROPN
ap-3818	179	19	=	=	SYM
ap-3818	179	20	(	(	PUNCT
ap-3818	179	21	∆′aγ(1/4	∆′aγ(1/4	PROPN
ap-3818	179	22	)	)	PUNCT
ap-3818	179	23	2πγ(3/4	2πγ(3/4	NOUN
ap-3818	179	24	)	)	PUNCT
ap-3818	179	25	)	)	PUNCT
ap-3818	179	26	2	2	NUM
ap-3818	179	27	(	(	PUNCT
ap-3818	179	28	ka)τ−1	ka)τ−1	X
ap-3818	179	29	a	a	PRON
ap-3818	179	30	(	(	PUNCT
ap-3818	179	31	δe	δe	ADP
ap-3818	179	32	a	a	PRON
ap-3818	179	33	)	)	PUNCT
ap-3818	179	34	3	3	NUM
ap-3818	179	35	.	.	PUNCT
ap-3818	180	1	(	(	PUNCT
ap-3818	180	2	37	37	NUM
ap-3818	180	3	)	)	PUNCT
ap-3818	180	4	equation	equation	NOUN
ap-3818	180	5	(	(	PUNCT
ap-3818	180	6	37	37	NUM
ap-3818	180	7	)	)	PUNCT
ap-3818	180	8	shows	show	VERB
ap-3818	180	9	that	that	SCONJ
ap-3818	180	10	inertial	inertial	ADJ
ap-3818	180	11	effects	effect	NOUN
ap-3818	180	12	can	can	AUX
ap-3818	180	13	provoke	provoke	VERB
ap-3818	180	14	quite	quite	DET
ap-3818	180	15	a	a	DET
ap-3818	180	16	significant	significant	ADJ
ap-3818	180	17	change	change	NOUN
ap-3818	180	18	on	on	ADP
ap-3818	180	19	the	the	DET
ap-3818	180	20	scaling	scaling	NOUN
ap-3818	180	21	of	of	ADP
ap-3818	180	22	the	the	DET
ap-3818	180	23	growth	growth	NOUN
ap-3818	180	24	rate	rate	NOUN
ap-3818	180	25	with	with	ADP
ap-3818	180	26	the	the	DET
ap-3818	180	27	relevant	relevant	ADJ
ap-3818	180	28	plasma	plasma	NOUN
ap-3818	180	29	parameters	parameter	NOUN
ap-3818	180	30	.	.	PUNCT
ap-3818	181	1	as	as	ADP
ap-3818	181	2	a	a	DET
ap-3818	181	3	matter	matter	NOUN
ap-3818	181	4	of	of	ADP
ap-3818	181	5	fact	fact	NOUN
ap-3818	181	6	,	,	PUNCT
ap-3818	181	7	we	we	PRON
ap-3818	181	8	see	see	VERB
ap-3818	181	9	that	that	SCONJ
ap-3818	181	10	γ	γ	PROPN
ap-3818	181	11	does	do	AUX
ap-3818	181	12	not	not	PART
ap-3818	181	13	depend	depend	VERB
ap-3818	181	14	on	on	ADP
ap-3818	181	15	the	the	DET
ap-3818	181	16	plasma	plasma	NOUN
ap-3818	181	17	resistivity	resistivity	NOUN
ap-3818	181	18	any	any	ADV
ap-3818	181	19	longer	long	ADV
ap-3818	181	20	.	.	PUNCT
ap-3818	182	1	actually	actually	ADV
ap-3818	182	2	,	,	PUNCT
ap-3818	182	3	it	it	PRON
ap-3818	182	4	scales	scale	VERB
ap-3818	182	5	now	now	ADV
ap-3818	182	6	with	with	ADP
ap-3818	182	7	the	the	DET
ap-3818	182	8	electron	electron	NOUN
ap-3818	182	9	number	number	NOUN
ap-3818	182	10	density	density	NOUN
ap-3818	182	11	as	as	ADP
ap-3818	182	12	γ	γ	X
ap-3818	182	13	∼	∼	X
ap-3818	182	14	n−3/2	n−3/2	PROPN
ap-3818	182	15	e	e	PROPN
ap-3818	182	16	.	.	PUNCT
ap-3818	183	1	beyond	beyond	ADP
ap-3818	183	2	the	the	DET
ap-3818	183	3	above	above	ADV
ap-3818	183	4	mentioned	mention	VERB
ap-3818	183	5	qualitative	qualitative	ADJ
ap-3818	183	6	result	result	NOUN
ap-3818	183	7	,	,	PUNCT
ap-3818	183	8	can	can	AUX
ap-3818	183	9	we	we	PRON
ap-3818	183	10	quantify	quantify	VERB
ap-3818	183	11	the	the	DET
ap-3818	183	12	change	change	NOUN
ap-3818	183	13	of	of	ADP
ap-3818	183	14	the	the	DET
ap-3818	183	15	growth	growth	NOUN
ap-3818	183	16	rate	rate	NOUN
ap-3818	183	17	due	due	ADP
ap-3818	183	18	to	to	ADP
ap-3818	183	19	a	a	DET
ap-3818	183	20	change	change	NOUN
ap-3818	183	21	on	on	ADP
ap-3818	183	22	the	the	DET
ap-3818	183	23	perturbative	perturbative	ADJ
ap-3818	183	24	wavelength	wavelength	NOUN
ap-3818	183	25	?	?	PUNCT
ap-3818	184	1	to	to	PART
ap-3818	184	2	answer	answer	VERB
ap-3818	184	3	this	this	DET
ap-3818	184	4	question	question	NOUN
ap-3818	184	5	,	,	PUNCT
ap-3818	184	6	first	first	ADV
ap-3818	184	7	we	we	PRON
ap-3818	184	8	observe	observe	VERB
ap-3818	184	9	that	that	SCONJ
ap-3818	184	10	the	the	DET
ap-3818	184	11	product	product	NOUN
ap-3818	184	12	∆′a	∆′a	NOUN
ap-3818	184	13	,	,	PUNCT
ap-3818	184	14	in	in	ADP
ap-3818	184	15	the	the	DET
ap-3818	184	16	general	general	ADJ
ap-3818	184	17	equation	equation	NOUN
ap-3818	184	18	(	(	PUNCT
ap-3818	184	19	35	35	NUM
ap-3818	184	20	)	)	PUNCT
ap-3818	184	21	,	,	PUNCT
ap-3818	184	22	is	be	AUX
ap-3818	184	23	a	a	DET
ap-3818	184	24	function	function	NOUN
ap-3818	184	25	of	of	ADP
ap-3818	184	26	the	the	DET
ap-3818	184	27	product	product	NOUN
ap-3818	184	28	ka	ka	PROPN
ap-3818	185	1	[	[	X
ap-3818	185	2	45–49	45–49	X
ap-3818	185	3	]	]	X
ap-3818	185	4	.	.	PUNCT
ap-3818	186	1	perhaps	perhaps	ADV
ap-3818	186	2	,	,	PUNCT
ap-3818	186	3	the	the	DET
ap-3818	186	4	most	most	ADV
ap-3818	186	5	illustrative	illustrative	ADJ
ap-3818	186	6	example	example	NOUN
ap-3818	186	7	of	of	ADP
ap-3818	186	8	this	this	DET
ap-3818	186	9	issue	issue	NOUN
ap-3818	186	10	is	be	AUX
ap-3818	186	11	provided	provide	VERB
ap-3818	186	12	by	by	ADP
ap-3818	186	13	the	the	DET
ap-3818	186	14	so	so	ADV
ap-3818	186	15	-	-	PUNCT
ap-3818	186	16	called	call	VERB
ap-3818	186	17	harris	harris	PROPN
ap-3818	186	18	model	model	PROPN
ap-3818	186	19	,	,	PUNCT
ap-3818	186	20	which	which	PRON
ap-3818	186	21	assumes	assume	VERB
ap-3818	186	22	the	the	DET
ap-3818	186	23	profile	profile	NOUN
ap-3818	186	24	[	[	X
ap-3818	186	25	50	50	NUM
ap-3818	186	26	]	]	PUNCT
ap-3818	186	27	~j	~j	PUNCT
ap-3818	186	28	=	=	SYM
ap-3818	186	29	ẑ	ẑ	NUM
ap-3818	186	30	b⊥0	b⊥0	NOUN
ap-3818	186	31	aµ0	aµ0	ADV
ap-3818	186	32	sech2	sech2	VERB
ap-3818	187	1	x	x	PUNCT
ap-3818	187	2	a	a	DET
ap-3818	187	3	(	(	PUNCT
ap-3818	187	4	38	38	NUM
ap-3818	187	5	)	)	PUNCT
ap-3818	187	6	for	for	ADP
ap-3818	187	7	the	the	DET
ap-3818	187	8	equilibrium	equilibrium	NOUN
ap-3818	187	9	current	current	ADJ
ap-3818	187	10	density	density	NOUN
ap-3818	187	11	.	.	PUNCT
ap-3818	188	1	by	by	ADP
ap-3818	188	2	substituting	substitute	VERB
ap-3818	188	3	(	(	PUNCT
ap-3818	188	4	38	38	NUM
ap-3818	188	5	)	)	PUNCT
ap-3818	188	6	in	in	ADP
ap-3818	188	7	the	the	DET
ap-3818	188	8	second	second	ADJ
ap-3818	188	9	of	of	ADP
ap-3818	188	10	(	(	PUNCT
ap-3818	188	11	3	3	NUM
ap-3818	188	12	)	)	PUNCT
ap-3818	188	13	,	,	PUNCT
ap-3818	188	14	one	one	PRON
ap-3818	188	15	can	can	AUX
ap-3818	188	16	calculate	calculate	VERB
ap-3818	188	17	the	the	DET
ap-3818	188	18	equilibrium	equilibrium	NOUN
ap-3818	188	19	magnetic	magnetic	ADJ
ap-3818	188	20	flux	flux	NOUN
ap-3818	188	21	.	.	PUNCT
ap-3818	189	1	next	next	ADV
ap-3818	189	2	,	,	PUNCT
ap-3818	189	3	by	by	ADP
ap-3818	189	4	substituting	substitute	VERB
ap-3818	189	5	the	the	DET
ap-3818	189	6	latter	latter	ADJ
ap-3818	189	7	in	in	ADP
ap-3818	189	8	(	(	PUNCT
ap-3818	189	9	12	12	NUM
ap-3818	189	10	)	)	PUNCT
ap-3818	189	11	,	,	PUNCT
ap-3818	189	12	one	one	PRON
ap-3818	189	13	can	can	AUX
ap-3818	189	14	compute	compute	VERB
ap-3818	189	15	the	the	DET
ap-3818	189	16	perturbative	perturbative	ADJ
ap-3818	189	17	magnetic	magnetic	ADJ
ap-3818	189	18	flux	flux	NOUN
ap-3818	189	19	.	.	PUNCT
ap-3818	190	1	finally	finally	ADV
ap-3818	190	2	,	,	PUNCT
ap-3818	190	3	(	(	PUNCT
ap-3818	190	4	18	18	NUM
ap-3818	190	5	)	)	PUNCT
ap-3818	190	6	yields	yield	VERB
ap-3818	190	7	the	the	DET
ap-3818	190	8	well	well	ADV
ap-3818	190	9	-	-	PUNCT
ap-3818	190	10	known	know	VERB
ap-3818	190	11	result	result	NOUN
ap-3818	190	12	∆′a	∆′a	X
ap-3818	191	1	=	=	SYM
ap-3818	191	2	2	2	NUM
ap-3818	191	3	(	(	PUNCT
ap-3818	191	4	1	1	NUM
ap-3818	191	5	ka	ka	PROPN
ap-3818	191	6	−	−	PROPN
ap-3818	191	7	ka	ka	PROPN
ap-3818	191	8	)	)	PUNCT
ap-3818	191	9	.	.	PUNCT
ap-3818	192	1	(	(	PUNCT
ap-3818	192	2	39	39	NUM
ap-3818	192	3	)	)	PUNCT
ap-3818	192	4	given	give	VERB
ap-3818	192	5	the	the	DET
ap-3818	192	6	above	above	ADJ
ap-3818	192	7	considerations	consideration	NOUN
ap-3818	192	8	,	,	PUNCT
ap-3818	192	9	let	let	VERB
ap-3818	192	10	us	we	PRON
ap-3818	192	11	assume	assume	VERB
ap-3818	192	12	that	that	SCONJ
ap-3818	192	13	two	two	NUM
ap-3818	192	14	plane	plane	NOUN
ap-3818	192	15	resistive	resistive	NOUN
ap-3818	192	16	slabs	slab	NOUN
ap-3818	192	17	are	be	AUX
ap-3818	192	18	formed	form	VERB
ap-3818	192	19	in	in	ADP
ap-3818	192	20	an	an	DET
ap-3818	192	21	infinite	infinite	ADJ
ap-3818	192	22	ideal	ideal	ADJ
ap-3818	192	23	plasma	plasma	NOUN
ap-3818	192	24	.	.	PUNCT
ap-3818	193	1	the	the	DET
ap-3818	193	2	two	two	NUM
ap-3818	193	3	slabs	slab	NOUN
ap-3818	193	4	have	have	VERB
ap-3818	193	5	the	the	DET
ap-3818	193	6	same	same	ADJ
ap-3818	193	7	electric	electric	ADJ
ap-3818	193	8	resistivity	resistivity	NOUN
ap-3818	193	9	and	and	CCONJ
ap-3818	193	10	are	be	AUX
ap-3818	193	11	subjected	subject	VERB
ap-3818	193	12	to	to	ADP
ap-3818	193	13	the	the	DET
ap-3818	193	14	same	same	ADJ
ap-3818	193	15	equilibrium	equilibrium	NOUN
ap-3818	193	16	magnetic	magnetic	ADJ
ap-3818	193	17	field	field	NOUN
ap-3818	193	18	.	.	PUNCT
ap-3818	194	1	the	the	DET
ap-3818	194	2	only	only	ADJ
ap-3818	194	3	difference	difference	NOUN
ap-3818	194	4	between	between	ADP
ap-3818	194	5	them	they	PRON
ap-3818	194	6	is	be	AUX
ap-3818	194	7	their	their	PRON
ap-3818	194	8	thicknesses	thickness	NOUN
ap-3818	194	9	.	.	PUNCT
ap-3818	195	1	thus	thus	ADV
ap-3818	195	2	,	,	PUNCT
ap-3818	195	3	we	we	PRON
ap-3818	195	4	can	can	AUX
ap-3818	195	5	explore	explore	VERB
ap-3818	195	6	the	the	DET
ap-3818	195	7	situation	situation	NOUN
ap-3818	195	8	for	for	ADP
ap-3818	195	9	which	which	PRON
ap-3818	195	10	the	the	DET
ap-3818	195	11	product	product	NOUN
ap-3818	195	12	ka	ka	PROPN
ap-3818	195	13	is	be	AUX
ap-3818	195	14	the	the	DET
ap-3818	195	15	same	same	ADJ
ap-3818	195	16	for	for	ADP
ap-3818	195	17	both	both	DET
ap-3818	195	18	slabs	slab	NOUN
ap-3818	195	19	.	.	PUNCT
ap-3818	196	1	this	this	PRON
ap-3818	196	2	means	mean	VERB
ap-3818	196	3	that	that	SCONJ
ap-3818	196	4	the	the	DET
ap-3818	196	5	thicker	thick	ADJ
ap-3818	196	6	slab	slab	NOUN
ap-3818	196	7	can	can	AUX
ap-3818	196	8	accommodate	accommodate	VERB
ap-3818	196	9	a	a	DET
ap-3818	196	10	longer	long	ADV
ap-3818	196	11	perturbative	perturbative	ADJ
ap-3818	196	12	wavelength	wavelength	NOUN
ap-3818	196	13	,	,	PUNCT
ap-3818	196	14	which	which	PRON
ap-3818	196	15	we	we	PRON
ap-3818	196	16	call	call	VERB
ap-3818	196	17	λ	λ	PROPN
ap-3818	196	18	,	,	PUNCT
ap-3818	196	19	and	and	CCONJ
ap-3818	196	20	the	the	DET
ap-3818	196	21	thinner	thin	ADJ
ap-3818	196	22	slab	slab	NOUN
ap-3818	196	23	can	can	AUX
ap-3818	196	24	accommodate	accommodate	VERB
ap-3818	196	25	a	a	DET
ap-3818	196	26	shorter	short	ADJ
ap-3818	196	27	perturbative	perturbative	ADJ
ap-3818	196	28	wavelength	wavelength	NOUN
ap-3818	196	29	,	,	PUNCT
ap-3818	196	30	which	which	PRON
ap-3818	196	31	we	we	PRON
ap-3818	196	32	call	call	VERB
ap-3818	196	33	λ	λ	PROPN
ap-3818	196	34	.	.	PUNCT
ap-3818	197	1	therefore	therefore	ADV
ap-3818	197	2	,	,	PUNCT
ap-3818	197	3	from	from	ADP
ap-3818	197	4	(	(	PUNCT
ap-3818	197	5	35	35	NUM
ap-3818	197	6	)	)	PUNCT
ap-3818	197	7	,	,	PUNCT
ap-3818	197	8	we	we	PRON
ap-3818	197	9	find	find	VERB
ap-3818	197	10	that	that	SCONJ
ap-3818	197	11	(	(	PUNCT
ap-3818	197	12	γτc)1/2	γτc)1/2	PROPN
ap-3818	197	13	(	(	PUNCT
ap-3818	197	14	γτc)5/4	γτc)5/4	PROPN
ap-3818	197	15	=	=	SYM
ap-3818	197	16	(	(	PUNCT
ap-3818	197	17	λ	λ	X
ap-3818	197	18	λ	λ	PROPN
ap-3818	197	19	)	)	PUNCT
ap-3818	197	20	−2	−2	NOUN
ap-3818	197	21	,	,	PUNCT
ap-3818	197	22	(	(	PUNCT
ap-3818	197	23	40	40	NUM
ap-3818	197	24	)	)	PUNCT
ap-3818	197	25	where	where	SCONJ
ap-3818	197	26	the	the	DET
ap-3818	197	27	growth	growth	NOUN
ap-3818	197	28	rates	rate	VERB
ap-3818	197	29	γ	γ	NOUN
ap-3818	197	30	and	and	CCONJ
ap-3818	197	31	γ	γ	NOUN
ap-3818	197	32	are	be	AUX
ap-3818	197	33	assumed	assume	VERB
ap-3818	197	34	to	to	PART
ap-3818	197	35	satisfy	satisfy	VERB
ap-3818	197	36	the	the	DET
ap-3818	197	37	conditions	condition	NOUN
ap-3818	197	38	γτc	γτc	VERB
ap-3818	197	39	�	�	PROPN
ap-3818	197	40	1	1	NUM
ap-3818	197	41	and	and	CCONJ
ap-3818	197	42	γτc	γτc	VERB
ap-3818	197	43	�	�	PROPN
ap-3818	197	44	1	1	NUM
ap-3818	197	45	,	,	PUNCT
ap-3818	197	46	respectively	respectively	ADV
ap-3818	197	47	.	.	PUNCT
ap-3818	198	1	to	to	PART
ap-3818	198	2	see	see	VERB
ap-3818	198	3	the	the	DET
ap-3818	198	4	consequences	consequence	NOUN
ap-3818	198	5	of	of	ADP
ap-3818	198	6	result	result	NOUN
ap-3818	198	7	(	(	PUNCT
ap-3818	198	8	40	40	NUM
ap-3818	198	9	)	)	PUNCT
ap-3818	198	10	,	,	PUNCT
ap-3818	198	11	suppose	suppose	VERB
ap-3818	198	12	that	that	SCONJ
ap-3818	198	13	γτc	γτc	VERB
ap-3818	198	14	∼	∼	NOUN
ap-3818	198	15	10−2	10−2	NUM
ap-3818	198	16	for	for	ADP
ap-3818	198	17	the	the	DET
ap-3818	198	18	unstable	unstable	ADJ
ap-3818	198	19	mode	mode	NOUN
ap-3818	198	20	with	with	ADP
ap-3818	198	21	the	the	DET
ap-3818	198	22	longer	long	ADJ
ap-3818	198	23	perturbative	perturbative	ADJ
ap-3818	198	24	wavelength	wavelength	NOUN
ap-3818	198	25	λ	λ	PROPN
ap-3818	198	26	.	.	PUNCT
ap-3818	199	1	hence	hence	ADV
ap-3818	199	2	,	,	PUNCT
ap-3818	199	3	if	if	SCONJ
ap-3818	199	4	the	the	DET
ap-3818	199	5	latter	latter	NOUN
ap-3818	199	6	is	be	AUX
ap-3818	199	7	moderately	moderately	ADV
ap-3818	199	8	shortened	shorten	VERB
ap-3818	199	9	,	,	PUNCT
ap-3818	199	10	for	for	ADP
ap-3818	199	11	instance	instance	NOUN
ap-3818	199	12	,	,	PUNCT
ap-3818	199	13	to	to	PART
ap-3818	199	14	λ	λ	VERB
ap-3818	199	15	∼	∼	NOUN
ap-3818	199	16	10−2λ	10−2λ	NUM
ap-3818	199	17	,	,	PUNCT
ap-3818	199	18	then	then	ADV
ap-3818	199	19	36	36	NUM
ap-3818	199	20	vol	vol	NOUN
ap-3818	199	21	.	.	PUNCT
ap-3818	200	1	57	57	NUM
ap-3818	200	2	no	no	NOUN
ap-3818	200	3	.	.	PUNCT
ap-3818	201	1	1/2017	1/2017	NUM
ap-3818	201	2	tearing	tear	VERB
ap-3818	201	3	modes	mode	NOUN
ap-3818	201	4	growth	growth	NOUN
ap-3818	201	5	rate	rate	NOUN
ap-3818	201	6	amplification	amplification	NOUN
ap-3818	201	7	due	due	ADP
ap-3818	201	8	to	to	PART
ap-3818	201	9	finite	finite	VERB
ap-3818	201	10	current	current	ADJ
ap-3818	201	11	relaxation	relaxation	NOUN
ap-3818	201	12	(	(	PUNCT
ap-3818	201	13	40	40	NUM
ap-3818	201	14	)	)	PUNCT
ap-3818	201	15	shows	show	VERB
ap-3818	201	16	that	that	SCONJ
ap-3818	201	17	γτc	γτc	VERB
ap-3818	201	18	∼	∼	NOUN
ap-3818	201	19	103	103	NUM
ap-3818	201	20	.	.	PUNCT
ap-3818	202	1	this	this	PRON
ap-3818	202	2	means	mean	VERB
ap-3818	202	3	that	that	SCONJ
ap-3818	202	4	the	the	DET
ap-3818	202	5	standard	standard	ADJ
ap-3818	202	6	growth	growth	NOUN
ap-3818	202	7	rate	rate	NOUN
ap-3818	202	8	γ	γ	NOUN
ap-3818	202	9	of	of	ADP
ap-3818	202	10	the	the	DET
ap-3818	202	11	tearing	tear	VERB
ap-3818	202	12	mode	mode	NOUN
ap-3818	202	13	is	be	AUX
ap-3818	202	14	amplificated	amplificate	VERB
ap-3818	202	15	to	to	ADP
ap-3818	202	16	γ	γ	X
ap-3818	202	17	∼	∼	NOUN
ap-3818	202	18	105γ	105γ	PROPN
ap-3818	202	19	,	,	PUNCT
ap-3818	202	20	quite	quite	DET
ap-3818	202	21	a	a	DET
ap-3818	202	22	significant	significant	ADJ
ap-3818	202	23	amplification	amplification	NOUN
ap-3818	202	24	due	due	ADP
ap-3818	202	25	to	to	ADP
ap-3818	202	26	inertial	inertial	ADJ
ap-3818	202	27	effects	effect	NOUN
ap-3818	202	28	of	of	ADP
ap-3818	202	29	charged	charge	VERB
ap-3818	202	30	species	specie	NOUN
ap-3818	202	31	in	in	ADP
ap-3818	202	32	the	the	DET
ap-3818	202	33	plasma	plasma	NOUN
ap-3818	202	34	.	.	PUNCT
ap-3818	203	1	4	4	X
ap-3818	203	2	.	.	X
ap-3818	203	3	conclusion	conclusion	NOUN
ap-3818	203	4	in	in	ADP
ap-3818	203	5	this	this	DET
ap-3818	203	6	work	work	NOUN
ap-3818	203	7	,	,	PUNCT
ap-3818	203	8	we	we	PRON
ap-3818	203	9	have	have	AUX
ap-3818	203	10	explored	explore	VERB
ap-3818	203	11	the	the	DET
ap-3818	203	12	influence	influence	NOUN
ap-3818	203	13	of	of	ADP
ap-3818	203	14	perturbative	perturbative	ADJ
ap-3818	203	15	wavelengths	wavelength	NOUN
ap-3818	203	16	,	,	PUNCT
ap-3818	203	17	shorter	short	ADJ
ap-3818	203	18	than	than	ADP
ap-3818	203	19	those	those	PRON
ap-3818	203	20	usually	usually	ADV
ap-3818	203	21	considered	consider	VERB
ap-3818	203	22	,	,	PUNCT
ap-3818	203	23	on	on	ADP
ap-3818	203	24	the	the	DET
ap-3818	203	25	growth	growth	NOUN
ap-3818	203	26	rate	rate	NOUN
ap-3818	203	27	γ	γ	NOUN
ap-3818	203	28	of	of	ADP
ap-3818	203	29	the	the	DET
ap-3818	203	30	tearing	tear	VERB
ap-3818	203	31	modes	mode	NOUN
ap-3818	203	32	.	.	PUNCT
ap-3818	204	1	thus	thus	ADV
ap-3818	204	2	,	,	PUNCT
ap-3818	204	3	we	we	PRON
ap-3818	204	4	have	have	AUX
ap-3818	204	5	adopted	adopt	VERB
ap-3818	204	6	an	an	DET
ap-3818	204	7	extended	extended	ADJ
ap-3818	204	8	form	form	NOUN
ap-3818	204	9	of	of	ADP
ap-3818	204	10	ohm	ohm	NOUN
ap-3818	204	11	’s	’s	PART
ap-3818	204	12	law	law	NOUN
ap-3818	204	13	,	,	PUNCT
ap-3818	204	14	which	which	PRON
ap-3818	204	15	includes	include	VERB
ap-3818	204	16	a	a	DET
ap-3818	204	17	finite	finite	ADJ
ap-3818	204	18	relaxation	relaxation	NOUN
ap-3818	204	19	time	time	NOUN
ap-3818	204	20	for	for	ADP
ap-3818	204	21	the	the	DET
ap-3818	204	22	current	current	ADJ
ap-3818	204	23	density	density	NOUN
ap-3818	204	24	,	,	PUNCT
ap-3818	204	25	due	due	ADP
ap-3818	204	26	to	to	ADP
ap-3818	204	27	inertial	inertial	ADJ
ap-3818	204	28	effects	effect	NOUN
ap-3818	204	29	of	of	ADP
ap-3818	204	30	charged	charge	VERB
ap-3818	204	31	species	specie	NOUN
ap-3818	204	32	.	.	PUNCT
ap-3818	205	1	in	in	ADP
ap-3818	205	2	the	the	DET
ap-3818	205	3	long	long	ADJ
ap-3818	205	4	wavelength	wavelength	NOUN
ap-3818	205	5	limit	limit	NOUN
ap-3818	205	6	,	,	PUNCT
ap-3818	205	7	we	we	PRON
ap-3818	205	8	have	have	AUX
ap-3818	205	9	observed	observe	VERB
ap-3818	205	10	the	the	DET
ap-3818	205	11	standard	standard	ADJ
ap-3818	205	12	γ	γ	NOUN
ap-3818	205	13	of	of	ADP
ap-3818	205	14	the	the	DET
ap-3818	205	15	tearing	tear	VERB
ap-3818	205	16	modes	mode	NOUN
ap-3818	205	17	.	.	PUNCT
ap-3818	206	1	however	however	ADV
ap-3818	206	2	,	,	PUNCT
ap-3818	206	3	in	in	ADP
ap-3818	206	4	the	the	DET
ap-3818	206	5	short	short	ADJ
ap-3818	206	6	wavelength	wavelength	NOUN
ap-3818	206	7	limit	limit	NOUN
ap-3818	206	8	,	,	PUNCT
ap-3818	206	9	we	we	PRON
ap-3818	206	10	have	have	AUX
ap-3818	206	11	shown	show	VERB
ap-3818	206	12	that	that	SCONJ
ap-3818	206	13	γ	γ	PROPN
ap-3818	206	14	does	do	AUX
ap-3818	206	15	not	not	PART
ap-3818	206	16	depend	depend	VERB
ap-3818	206	17	on	on	ADP
ap-3818	206	18	the	the	DET
ap-3818	206	19	fluid	fluid	ADJ
ap-3818	206	20	resistivity	resistivity	NOUN
ap-3818	206	21	any	any	ADV
ap-3818	206	22	longer	long	ADV
ap-3818	206	23	.	.	PUNCT
ap-3818	207	1	actually	actually	ADV
ap-3818	207	2	,	,	PUNCT
ap-3818	207	3	we	we	PRON
ap-3818	207	4	have	have	AUX
ap-3818	207	5	found	find	VERB
ap-3818	207	6	out	out	ADP
ap-3818	207	7	that	that	SCONJ
ap-3818	207	8	γ	γ	PROPN
ap-3818	207	9	now	now	ADV
ap-3818	207	10	scales	scale	VERB
ap-3818	207	11	with	with	ADP
ap-3818	207	12	the	the	DET
ap-3818	207	13	electron	electron	NOUN
ap-3818	207	14	number	number	NOUN
ap-3818	207	15	density	density	NOUN
ap-3818	207	16	ne	ne	PROPN
ap-3818	207	17	as	as	ADP
ap-3818	207	18	γ	γ	X
ap-3818	207	19	∼	∼	NOUN
ap-3818	207	20	n	n	PRON
ap-3818	207	21	−3/2	−3/2	NOUN
ap-3818	207	22	e	e	NOUN
ap-3818	207	23	.	.	PUNCT
ap-3818	208	1	therefore	therefore	ADV
ap-3818	208	2	,	,	PUNCT
ap-3818	208	3	through	through	ADP
ap-3818	208	4	a	a	DET
ap-3818	208	5	suitable	suitable	ADJ
ap-3818	208	6	combination	combination	NOUN
ap-3818	208	7	of	of	ADP
ap-3818	208	8	both	both	PRON
ap-3818	208	9	limiting	limit	VERB
ap-3818	208	10	results	result	NOUN
ap-3818	208	11	,	,	PUNCT
ap-3818	208	12	we	we	PRON
ap-3818	208	13	have	have	AUX
ap-3818	208	14	shown	show	VERB
ap-3818	208	15	that	that	SCONJ
ap-3818	208	16	the	the	DET
ap-3818	208	17	standard	standard	ADJ
ap-3818	208	18	γ	γ	NOUN
ap-3818	208	19	can	can	AUX
ap-3818	208	20	be	be	AUX
ap-3818	208	21	substantially	substantially	ADV
ap-3818	208	22	amplificated	amplificate	VERB
ap-3818	208	23	,	,	PUNCT
ap-3818	208	24	even	even	ADV
ap-3818	208	25	by	by	ADP
ap-3818	208	26	moderate	moderate	ADJ
ap-3818	208	27	shortenings	shortening	NOUN
ap-3818	208	28	of	of	ADP
ap-3818	208	29	perturbative	perturbative	ADJ
ap-3818	208	30	wavelengths	wavelength	NOUN
ap-3818	208	31	.	.	PUNCT
ap-3818	209	1	further	further	ADJ
ap-3818	209	2	developments	development	NOUN
ap-3818	209	3	of	of	ADP
ap-3818	209	4	our	our	PRON
ap-3818	209	5	theory	theory	NOUN
ap-3818	209	6	may	may	AUX
ap-3818	209	7	contribute	contribute	VERB
ap-3818	209	8	to	to	ADP
ap-3818	209	9	the	the	DET
ap-3818	209	10	explanation	explanation	NOUN
ap-3818	209	11	of	of	ADP
ap-3818	209	12	the	the	DET
ap-3818	209	13	fast	fast	ADJ
ap-3818	209	14	magnetic	magnetic	ADJ
ap-3818	209	15	reconnection	reconnection	NOUN
ap-3818	209	16	of	of	ADP
ap-3818	209	17	field	field	NOUN
ap-3818	209	18	lines	line	NOUN
ap-3818	209	19	,	,	PUNCT
ap-3818	209	20	as	as	SCONJ
ap-3818	209	21	observed	observe	VERB
ap-3818	209	22	in	in	ADP
ap-3818	209	23	astrophysical	astrophysical	ADJ
ap-3818	209	24	plasmas	plasma	NOUN
ap-3818	209	25	.	.	PUNCT
ap-3818	210	1	references	reference	NOUN
ap-3818	210	2	[	[	X
ap-3818	210	3	1	1	NUM
ap-3818	210	4	]	]	PUNCT
ap-3818	210	5	i.	i.	PROPN
ap-3818	210	6	b.	b.	PROPN
ap-3818	210	7	bernstein	bernstein	PROPN
ap-3818	210	8	,	,	PUNCT
ap-3818	210	9	e.	e.	PROPN
ap-3818	210	10	a.	a.	PROPN
ap-3818	210	11	frieman	frieman	PROPN
ap-3818	210	12	,	,	PUNCT
ap-3818	210	13	m.	m.	PROPN
ap-3818	210	14	d.	d.	PROPN
ap-3818	210	15	kruskal	kruskal	PROPN
ap-3818	210	16	,	,	PUNCT
ap-3818	210	17	r.	r.	PROPN
ap-3818	210	18	m.	m.	PROPN
ap-3818	210	19	kulsrud	kulsrud	PROPN
ap-3818	210	20	.	.	PUNCT
ap-3818	211	1	proc	proc	NOUN
ap-3818	211	2	r	r	PROPN
ap-3818	211	3	soc	soc	PROPN
ap-3818	211	4	a244:17	a244:17	VERB
ap-3818	211	5	,	,	PUNCT
ap-3818	211	6	1958	1958	NUM
ap-3818	211	7	.	.	PUNCT
ap-3818	212	1	[	[	X
ap-3818	212	2	2	2	X
ap-3818	212	3	]	]	PUNCT
ap-3818	212	4	w.	w.	PROPN
ap-3818	212	5	a.	a.	PROPN
ap-3818	212	6	newcomb	newcomb	PROPN
ap-3818	212	7	.	.	PUNCT
ap-3818	213	1	ann	ann	PROPN
ap-3818	213	2	phys	phys	PROPN
ap-3818	213	3	10:232	10:232	NUM
ap-3818	213	4	,	,	PUNCT
ap-3818	213	5	1960	1960	NUM
ap-3818	213	6	.	.	PUNCT
ap-3818	214	1	[	[	X
ap-3818	214	2	3	3	X
ap-3818	214	3	]	]	X
ap-3818	214	4	j.	j.	PROPN
ap-3818	214	5	m.	m.	PROPN
ap-3818	214	6	greene	greene	PROPN
ap-3818	214	7	,	,	PUNCT
ap-3818	214	8	j.	j.	PROPN
ap-3818	214	9	l.	l.	PROPN
ap-3818	214	10	johnson	johnson	PROPN
ap-3818	214	11	.	.	PUNCT
ap-3818	215	1	phys	phy	NOUN
ap-3818	215	2	fluids	fluid	VERB
ap-3818	215	3	5:510	5:510	NUM
ap-3818	215	4	,	,	PUNCT
ap-3818	215	5	1962	1962	NUM
ap-3818	215	6	.	.	PUNCT
ap-3818	216	1	[	[	X
ap-3818	216	2	4	4	X
ap-3818	216	3	]	]	PUNCT
ap-3818	216	4	r.	r.	PROPN
ap-3818	216	5	j.	j.	PROPN
ap-3818	216	6	goldston	goldston	PROPN
ap-3818	216	7	,	,	PUNCT
ap-3818	216	8	p.	p.	PROPN
ap-3818	216	9	h.	h.	PROPN
ap-3818	216	10	rutherford	rutherford	PROPN
ap-3818	216	11	.	.	PUNCT
ap-3818	217	1	introduction	introduction	NOUN
ap-3818	217	2	to	to	ADP
ap-3818	217	3	plasma	plasma	NOUN
ap-3818	217	4	physics	physics	PROPN
ap-3818	217	5	.	.	PUNCT
ap-3818	218	1	institute	institute	PROPN
ap-3818	218	2	of	of	ADP
ap-3818	218	3	physics	physics	PROPN
ap-3818	218	4	,	,	PUNCT
ap-3818	218	5	bristol	bristol	PROPN
ap-3818	218	6	,	,	PUNCT
ap-3818	218	7	2000	2000	NUM
ap-3818	218	8	.	.	PUNCT
ap-3818	219	1	[	[	X
ap-3818	219	2	5	5	X
ap-3818	219	3	]	]	PUNCT
ap-3818	219	4	k.	k.	PROPN
ap-3818	219	5	nishikawa	nishikawa	PROPN
ap-3818	219	6	,	,	PUNCT
ap-3818	219	7	m.	m.	PROPN
ap-3818	219	8	wakatani	wakatani	PROPN
ap-3818	219	9	.	.	PUNCT
ap-3818	220	1	plasma	plasma	NOUN
ap-3818	220	2	physics	physics	PROPN
ap-3818	220	3	:	:	PUNCT
ap-3818	220	4	basic	basic	ADJ
ap-3818	220	5	theory	theory	NOUN
ap-3818	220	6	with	with	ADP
ap-3818	220	7	fusion	fusion	NOUN
ap-3818	220	8	applications	application	NOUN
ap-3818	220	9	.	.	PUNCT
ap-3818	221	1	third	third	PROPN
ap-3818	221	2	edition	edition	PROPN
ap-3818	221	3	.	.	PUNCT
ap-3818	222	1	springer	springer	NOUN
ap-3818	222	2	-	-	PUNCT
ap-3818	222	3	verlag	verlag	PROPN
ap-3818	222	4	,	,	PUNCT
ap-3818	222	5	berlin	berlin	PROPN
ap-3818	222	6	,	,	PUNCT
ap-3818	222	7	2000	2000	NUM
ap-3818	222	8	.	.	PUNCT
ap-3818	223	1	[	[	X
ap-3818	223	2	6	6	NUM
ap-3818	223	3	]	]	PUNCT
ap-3818	223	4	k.	k.	PROPN
ap-3818	223	5	miyamoto	miyamoto	PROPN
ap-3818	223	6	.	.	PUNCT
ap-3818	223	7	plasma	plasma	PROPN
ap-3818	223	8	physics	physics	PROPN
ap-3818	223	9	and	and	CCONJ
ap-3818	223	10	controlled	control	VERB
ap-3818	223	11	nuclear	nuclear	ADJ
ap-3818	223	12	fusion	fusion	NOUN
ap-3818	223	13	.	.	PUNCT
ap-3818	223	14	springer	springer	NOUN
ap-3818	223	15	-	-	PUNCT
ap-3818	223	16	verlag	verlag	PROPN
ap-3818	223	17	,	,	PUNCT
ap-3818	223	18	berlin	berlin	PROPN
ap-3818	223	19	,	,	PUNCT
ap-3818	223	20	2005	2005	NUM
ap-3818	223	21	.	.	PUNCT
ap-3818	224	1	[	[	X
ap-3818	224	2	7	7	X
ap-3818	224	3	]	]	X
ap-3818	224	4	l.	l.	PROPN
ap-3818	224	5	spitzer	spitzer	PROPN
ap-3818	224	6	.	.	PUNCT
ap-3818	225	1	physics	physic	NOUN
ap-3818	225	2	of	of	ADP
ap-3818	225	3	fully	fully	ADV
ap-3818	225	4	ionized	ionize	VERB
ap-3818	225	5	gases	gas	NOUN
ap-3818	225	6	.	.	PUNCT
ap-3818	226	1	second	second	PROPN
ap-3818	226	2	edition	edition	PROPN
ap-3818	226	3	.	.	PUNCT
ap-3818	227	1	dover	dover	PROPN
ap-3818	227	2	publications	publication	NOUN
ap-3818	227	3	,	,	PUNCT
ap-3818	227	4	new	new	PROPN
ap-3818	227	5	york	york	PROPN
ap-3818	227	6	,	,	PUNCT
ap-3818	227	7	2006	2006	NUM
ap-3818	227	8	.	.	PUNCT
ap-3818	228	1	[	[	X
ap-3818	228	2	8	8	X
ap-3818	228	3	]	]	PUNCT
ap-3818	228	4	j.	j.	PROPN
ap-3818	228	5	p.	p.	PROPN
ap-3818	228	6	freidberg	freidberg	PROPN
ap-3818	228	7	.	.	PUNCT
ap-3818	229	1	ideal	ideal	PROPN
ap-3818	229	2	mhd	mhd	PROPN
ap-3818	229	3	.	.	PROPN
ap-3818	230	1	cambridge	cambridge	PROPN
ap-3818	230	2	university	university	PROPN
ap-3818	230	3	press	press	PROPN
ap-3818	230	4	,	,	PUNCT
ap-3818	230	5	cambridge	cambridge	PROPN
ap-3818	230	6	,	,	PUNCT
ap-3818	230	7	2014	2014	NUM
ap-3818	230	8	.	.	PUNCT
ap-3818	231	1	[	[	X
ap-3818	231	2	9	9	X
ap-3818	231	3	]	]	PUNCT
ap-3818	231	4	v.	v.	PROPN
ap-3818	231	5	d.	d.	PROPN
ap-3818	231	6	shafranov	shafranov	PROPN
ap-3818	231	7	.	.	PUNCT
ap-3818	232	1	sov	sov	PROPN
ap-3818	232	2	phys	phy	NOUN
ap-3818	232	3	tech	tech	NOUN
ap-3818	232	4	phys	phy	NOUN
ap-3818	232	5	15:175	15:175	NUM
ap-3818	232	6	,	,	PUNCT
ap-3818	232	7	1970	1970	NUM
ap-3818	232	8	.	.	PUNCT
ap-3818	233	1	[	[	X
ap-3818	233	2	10	10	NUM
ap-3818	233	3	]	]	X
ap-3818	233	4	d.	d.	PROPN
ap-3818	233	5	f.	f.	PROPN
ap-3818	233	6	düchs	düchs	PROPN
ap-3818	233	7	,	,	PUNCT
ap-3818	233	8	h.	h.	PROPN
ap-3818	233	9	p.	p.	PROPN
ap-3818	233	10	furth	furth	PROPN
ap-3818	233	11	,	,	PUNCT
ap-3818	233	12	p.	p.	PROPN
ap-3818	233	13	h.	h.	PROPN
ap-3818	233	14	rutherford	rutherford	PROPN
ap-3818	233	15	.	.	PUNCT
ap-3818	234	1	nucl	nucl	PROPN
ap-3818	234	2	fusion	fusion	PROPN
ap-3818	234	3	12:341	12:341	NUM
ap-3818	234	4	,	,	PUNCT
ap-3818	234	5	1972	1972	NUM
ap-3818	234	6	.	.	PUNCT
ap-3818	235	1	[	[	X
ap-3818	235	2	11	11	NUM
ap-3818	235	3	]	]	PUNCT
ap-3818	235	4	j.	j.	PROPN
ap-3818	235	5	g.	g.	PROPN
ap-3818	235	6	cordey	cordey	PROPN
ap-3818	235	7	,	,	PUNCT
ap-3818	235	8	f.	f.	PROPN
ap-3818	235	9	a.	a.	PROPN
ap-3818	235	10	haas	haas	PROPN
ap-3818	235	11	.	.	PUNCT
ap-3818	236	1	nucl	nucl	PROPN
ap-3818	236	2	fusion	fusion	PROPN
ap-3818	236	3	16:605	16:605	NUM
ap-3818	236	4	,	,	PUNCT
ap-3818	236	5	1976	1976	NUM
ap-3818	236	6	.	.	PUNCT
ap-3818	237	1	[	[	X
ap-3818	237	2	12	12	NUM
ap-3818	237	3	]	]	X
ap-3818	237	4	c.	c.	PROPN
ap-3818	237	5	c.	c.	PROPN
ap-3818	237	6	grimes	grimes	PROPN
ap-3818	237	7	,	,	PUNCT
ap-3818	237	8	g.	g.	PROPN
ap-3818	237	9	adams	adams	PROPN
ap-3818	237	10	.	.	PUNCT
ap-3818	238	1	phys	phy	NOUN
ap-3818	238	2	rev	rev	VERB
ap-3818	238	3	lett	lett	PROPN
ap-3818	238	4	36:145	36:145	NUM
ap-3818	238	5	,	,	PUNCT
ap-3818	238	6	1976	1976	NUM
ap-3818	238	7	.	.	PUNCT
ap-3818	239	1	[	[	X
ap-3818	239	2	13	13	NUM
ap-3818	239	3	]	]	PUNCT
ap-3818	239	4	m.	m.	NOUN
ap-3818	239	5	j.	j.	PROPN
ap-3818	239	6	forrest	forrest	PROPN
ap-3818	239	7	,	,	PUNCT
ap-3818	239	8	p.	p.	PROPN
ap-3818	239	9	g.	g.	PROPN
ap-3818	239	10	carolan	carolan	PROPN
ap-3818	239	11	,	,	PUNCT
ap-3818	239	12	n.	n.	PROPN
ap-3818	239	13	j.	j.	PROPN
ap-3818	239	14	peacock	peacock	PROPN
ap-3818	239	15	.	.	PUNCT
ap-3818	240	1	nature	nature	NOUN
ap-3818	240	2	271:718	271:718	NOUN
ap-3818	240	3	,	,	PUNCT
ap-3818	240	4	1978	1978	NUM
ap-3818	240	5	.	.	PUNCT
ap-3818	241	1	[	[	X
ap-3818	241	2	14	14	NUM
ap-3818	241	3	]	]	X
ap-3818	241	4	p.	p.	NOUN
ap-3818	241	5	h.	h.	PROPN
ap-3818	241	6	rutherford	rutherford	PROPN
ap-3818	241	7	.	.	PUNCT
ap-3818	242	1	phys	phy	NOUN
ap-3818	242	2	fluids	fluid	NOUN
ap-3818	242	3	16:1903	16:1903	PROPN
ap-3818	242	4	,	,	PUNCT
ap-3818	242	5	1973	1973	NUM
ap-3818	242	6	.	.	PUNCT
ap-3818	243	1	[	[	X
ap-3818	243	2	15	15	X
ap-3818	243	3	]	]	PUNCT
ap-3818	243	4	t.	t.	PROPN
ap-3818	243	5	h.	h.	PROPN
ap-3818	243	6	stix	stix	PROPN
ap-3818	243	7	.	.	PUNCT
ap-3818	244	1	phys	phy	NOUN
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ap-3818	244	5	,	,	PUNCT
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ap-3818	244	7	.	.	PUNCT
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ap-3818	245	3	]	]	X
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ap-3818	246	4	,	,	PUNCT
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ap-3818	246	6	.	.	PUNCT
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ap-3818	247	3	]	]	X
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ap-3818	247	19	.	.	PUNCT
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ap-3818	248	4	,	,	PUNCT
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ap-3818	248	6	.	.	PUNCT
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ap-3818	249	3	]	]	PUNCT
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ap-3818	250	4	,	,	PUNCT
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ap-3818	250	6	.	.	PUNCT
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ap-3818	251	3	]	]	PUNCT
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ap-3818	251	19	.	.	PUNCT
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ap-3818	252	4	,	,	PUNCT
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ap-3818	252	6	.	.	PUNCT
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ap-3818	253	2	20	20	NUM
ap-3818	253	3	]	]	PUNCT
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ap-3818	253	7	,	,	PUNCT
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ap-3818	254	4	,	,	PUNCT
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ap-3818	254	6	.	.	PUNCT
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ap-3818	255	3	]	]	PUNCT
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ap-3818	255	7	.	.	PUNCT
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ap-3818	256	6	,	,	PUNCT
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ap-3818	256	8	.	.	PUNCT
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ap-3818	257	3	]	]	PUNCT
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ap-3818	257	7	,	,	PUNCT
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ap-3818	258	7	,	,	PUNCT
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ap-3818	258	11	.	.	PUNCT
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ap-3818	259	4	,	,	PUNCT
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ap-3818	259	6	.	.	PUNCT
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ap-3818	260	3	]	]	PUNCT
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ap-3818	261	4	,	,	PUNCT
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ap-3818	261	6	.	.	PUNCT
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ap-3818	262	3	]	]	PUNCT
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ap-3818	262	7	.	.	PUNCT
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ap-3818	263	5	,	,	PUNCT
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ap-3818	263	7	.	.	PUNCT
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ap-3818	264	6	.	.	PUNCT
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ap-3818	265	4	,	,	PUNCT
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ap-3818	265	6	.	.	PUNCT
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ap-3818	266	9	.	.	PUNCT
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ap-3818	267	4	,	,	PUNCT
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ap-3818	267	6	.	.	PUNCT
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ap-3818	268	9	.	.	PUNCT
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ap-3818	269	4	,	,	PUNCT
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ap-3818	269	6	.	.	PUNCT
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ap-3818	271	4	,	,	PUNCT
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ap-3818	273	5	,	,	PUNCT
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ap-3818	275	4	,	,	PUNCT
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ap-3818	275	6	.	.	PUNCT
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ap-3818	277	4	,	,	PUNCT
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ap-3818	277	6	.	.	PUNCT
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ap-3818	281	6	:	:	SYM
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ap-3818	283	5	,	,	PUNCT
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ap-3818	283	7	.	.	PUNCT
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ap-3818	287	3	:	:	PUNCT
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ap-3818	287	9	.	.	PUNCT
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ap-3818	306	5	,	,	PUNCT
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ap-3818	306	7	.	.	PUNCT
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ap-3818	308	3	,	,	PUNCT
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