摘要
提出一种研究伊辛(Ising)模型的元胞自动机演变规则:在二维正方格阵的每个格点上放置一个Ising自旋磁子,设定该系统中磁子的状态和演化规则。这样,就可以直观地显示伊辛模型的自发磁化演化过程,并且观察到二维正则伊辛模型的临界相变,得到了系统磁化率相图。文章描述的方法丰富了元胞自动机模型研究伊辛模型的演化规则,得到了较好的结果,并为三维伊辛模型的仿真计算打下基础。
The paper presents an evolving rule of Cellular Automation for studying the Ising model, which places Ising spin in each site of the two-dimensional square regular lattices and gives each spin an initial state and the evolving rule for the system, thus, the process that the spontaneous magnetization of the spin evolved in the Ising model can be observed intuitively, meanwhile,the critical phase transition of the two-dimensional canonical ensemble Ising model can be investigated,and the phase diagram of the susceptibility will present. The method built in the paper expands the evolving rule of Cellular Automation for studying the Ising model, and provides a basis for the simulation of three-dimensional Ising model.
出处
《信息工程大学学报》
2009年第3期418-421,共4页
Journal of Information Engineering University
关键词
相变
伊辛模型
元胞自动机
phase transition
Ising model
cellular automation
