D:\sbornik\...\article.DVI Mathematical Problems of Computer Science 35, 46{52, 2011. Realization of 1D Classic H eisenber g Spin-Glass System on GP U H a ko b G. A b a jya n Institute for Informatics and Automation Problems of NAS of RA e-mail habajyan@ipia.sci.am Abstract New high performance parallel algorithm for simulation of 1D classic Heisenberg spin-glass system is developed. The realization is done on Graphics Processing Units (GPU). Numerical simulations of the classic Heisenberg spin glass model show that this is a good example of applications that may bene¯t of the GPU computing capabilities. GPU performance time and memory statistics are presented. Refer ences [1 ] A . P . Y o u n g ( e d .) , Spin Glasses and R andom F ields, W o r ld S c ie n t i¯ c , S in g a p o r e , 1 9 9 8 . [2 ] R . Fis c h a n d A . B . H a r r is , \ S p in -g la s s m o d e l in c o n t in u o u s d im e n s io n a lit y" , P hys. R ev. L et., 47, p . 6 2 0 , 1 9 8 1 . [3 ] A . S . Ge vo r kya n e t a l., \ N e w m a t h e m a t ic a l c o n c e p t io n a n d c o m p u t a t io n a lg o r it h m fo r s t u d y o f qu a n t u m 3 D d is o r d e r e d s p in s ys t e m u n d e r t h e in ° u e n c e o f e xt e r n a l ¯ e ld " , Trans. On Comput. Sci., VII, L NCS, p p . 1 3 2 -1 5 3 , S p in g e r -V e r la g e , 1 0 .1 0 0 7 / 9 7 8 -3 -6 4 2 - 1 1 3 8 9 -5 8 . [4 ] A . S . Ge vo r kya n , H . G. A b a jya n a n d H . S . S u kia s ya n . A r X iv: c o n d -m a t .d is -n n 1 0 1 0 .1 6 2 3 v1 . [5 ] N V ID IA CU D A , C P r o g r a m m in g Gu id e , ve r s io n 3 .2 , 2 0 1 0 . [6 ] N V ID IA Co m p u t e V is u a l P r o ¯ le r U s e r Gu id e , 2 0 1 0 . [7 ] L . N yla n d , M. H a r r is , J. P r in s , \ Fa s t N -b o d y s im u la t io n wit h CU D A , in : GP U Ge m s 3 " , Addison-W esley P rofessional, Ch . 3 1 , p p . 6 7 7 6 9 5 , 2 0 0 7 . [8 ] J. D . Owe n s , D . L u e b ke , N . Go vin d a r a ju , M. H a r r is , J. K r u Äg e r , A . L e fo h n , T. J. P u r c e ll, \ A s u r ve y o f g e n e r a l-p u r p o s e c o m p u t a t io n o n g r a p h ic s h a r d wa r e " , Computer Graphics F orum, vo l. 2 6 , Is s u e 1 , p p . 8 0 1 1 3 , 2 0 0 7 . [9 ] D . Y u e n , J. W a n g , L . Jo h n s s o n , C. H . Ch i, Y . S h i( E d s .) , GP U solutions to multi-scale problems in science and engineering, S p r in g e r , 1 s t E d it io n , 2 0 1 1 . 1D ¸³ë³Ï³Ý ѻ۽»Ýµ»ñ· ëåÇÝ-³å³ÏÇ h³Ù³Ï³ñ·Ç Çñ³Ï³Ý³óáõÙÁ ·ñ³ýÇÏ³Ï³Ý åñáó»ëáñÝ»ñÇ íñ³ 4 6 H. Abajyan 4 7 Ð. ²µ³çÛ³Ý ²Ù÷á÷áõÙ ²ß˳ï³ÝùáõÙ µ»ñí³Í ¿ 1D ¹³ë³Ï³Ý л۽»Ýµ»ñ· ëåÇÝ-³å³ÏÇ Ñ³Ù³Ï³ñ·Ç ÙṻɳíáñÙ³Ý Ýáñ µ³ñÓñ ³ñï³¹ñáճϳÝáõÃÛ³Ý ½áõ·³Ñ»é ³É·áñÇÃÙ: ²É·áñÇÃÙÝ Çñ³Ï³Ý³óí³Í ¿ ñ³ýÇÏ³Ï³Ý äñáó»ëáñÝ»ñÇ (ä) íñ³: Âí³ÛÇÝ ëÇÙáõÉÛ³óÇ³Ý óáõÛó ¿ ï³ÉÇë, áñ ¹³ë³Ï³Ý л۽»Ýµ»ñ· ëåÇÝ-³å³ÏÇ Ùá¹»ÉÁ ÏÇñ³éáõÃÛ³Ý É³í ûñÇÝ³Ï ¿ ä ѳßíáÕ³Ï³Ý Ñݳñ³íáñáõÃÛáõÝÝ»ñÇ û·ï³·áñÍÙ³Ý ï»ë³ÝÏÛáõÝÇó: ²ß˳ï³Ýùáõ٠ݳ¨ µ»ñí³Í »Ý ³ñ³·³·áñÍáõÃÛ³Ý Å³Ù³Ý³Ï³ÛÇÝ ¨ ÑÇßáÕáõÃÛ³Ý íÇ׳ϳ·ñ³Ï³Ý ïíÛ³ÉÝ»ñÁ: