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二维Ising模型元胞自动机(Q2R)模拟
引用本文:李晓寒,王宗笠,马显光,宁旭,陈仕国. 二维Ising模型元胞自动机(Q2R)模拟[J]. 安徽大学学报(自然科学版), 2007, 31(1): 57-60. DOI: 10.3969/j.issn.1000-2162.2007.01.014
作者姓名:李晓寒  王宗笠  马显光  宁旭  陈仕国
作者单位:第三军医大学,物理教研室,重庆,400038;重庆大学理论物理所,重庆,400044
摘    要:用元胞自动机Q2R规则来模拟微正则系综的临界行为,同时考虑到二维Ising模型[2]的同步演化.计算结果表明,此数值仿真能够显示二维晶格在孤立条件下的自发磁化.可以为三维Ising模型的仿真计算奠定基础.

关 键 词:临界相变  Ising模型  元胞自动机  Q2R
文章编号:1000-2162(2007)01-0057-04
修稿时间:2006-09-14

Simulation of 2D Ising model based on the cellular automata(Q2R)
LI Xiao-han,WANG Zong-li,MA Xian-Guang,NING Xu,CHEN Shi-Guo. Simulation of 2D Ising model based on the cellular automata(Q2R)[J]. Journal of Anhui University(Natural Sciences), 2007, 31(1): 57-60. DOI: 10.3969/j.issn.1000-2162.2007.01.014
Authors:LI Xiao-han  WANG Zong-li  MA Xian-Guang  NING Xu  CHEN Shi-Guo
Affiliation:1. Department of Physics, The Third Military Medical University, Chongqing 400038,China; 2. Department of Theory Physics, Chongqing University, Chongqing 400044, China
Abstract:The authors simulate the critical behavior of microcanonical ensemble by the Cellular automata Q2R rules and consider the in-phase evolvement based on two-dimensional Ising model.The results indicate that the computer numerical simulation can reflect the spontaneous magnetization of two-dimensional crystal lattice under the isolated condition.The method built in this paper can provide a basis for the simulation of three-dimensional Ising model.
Keywords:critical phase transition  Ising model  cellular automata  Q2R rules
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