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三维伊辛模型的蒙特卡罗模拟

发表时间:2008-04-15  浏览量:2092  下载量:963
全部作者: 吴洋,段海明
作者单位: 新疆大学物理科学与技术学院
摘 要: 本文采用蒙特卡罗方法模拟三维晶格系统伊辛模型。它是一种计算机模拟的方法,采用随机抽样,能够比较逼真地描述真实物理实验过程,精确性好。在不同温度下,分别模拟了具有简立方晶格、体心立方晶格及面心立方晶格相互作用的三维伊辛模型,从而通过编程所得数据绘图分析三种格点的临界态及其它物理量的变化性质。模拟结果表明:在高温下,系统磁性消失;在低温下,系统具有磁性,并存在一个临界状态。同时研究了三种晶格的磁化率、能量及比热随温度的变化趋势,分析了产生这种趋势现象的物理原因,并同国外三维伊辛模型的不同格点研究结果进行对比,在误差范围内,是完全一致的。
关 键 词: 凝聚态物理学;三维伊辛模型;蒙特卡罗方法;临界态
Title: Monte Carlo simulation of 3-D Ising model
Author: WU Yang, DUAN Haiming
Organization: School of Physics Science and Technology, Xinjiang University
Abstract: In this article, 3-D Ising model is simulated by the means of Monte Carlo, such as the simple cubic lattice, the body-centered cubic lattice and the face-centered cubic lattice. It is a computer simulation method, using random sampling, to compare realistic description of the real physics experiment with good accuracy, and draw analysis of the three critical state and other physical changes in nature by programming data. The result suggests that under high temperature, the magnetic of the systems disappears, and at low temperature, it is magnetic, with a transition. The paper also studied the susceptibility, energy and heat capacity as a function of the temperature of the three lattice models. The three-dimensional Ising model is contrasted with abroad results, and it is entirely consistent with the margin of error.
Key words: condensed matter physics; three-dimensional Ising model; Monte Carlo method; transition
发表期数: 2008年8月第7期
引用格式: 吴洋,段海明. 三维伊辛模型的蒙特卡罗模拟[J]. 中国科技论文在线精品论文,2008,1(7):805-809.
 
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