三维Ising模型的蒙特卡罗模拟  

Monte Carlo Simulation of 3-dimensional Ising Model

作　　者：黄纯青[1] 邓绍军[1] 

机构地区：[1]佛山科学技术学院理学院光电子与物理学系,广东佛山528000

出　　处：《计算物理》2009年第6期937-941,共5页Chinese Journal of Computational Physics

摘　　要：采用蒙特卡罗(Monte Carlo)重点抽样法对三维Ising模型进行计算机模拟,测量无外磁场时三维Ising模型中自旋键链的能量、磁化强度、比热及磁化率的统计平均值与标准误差(不确定度).结果表明,三维Ising模型在无外磁场时存在自发磁化现象,铁磁→非铁磁相变临界点在J/(kBTC)=0.222 0,或居里温度TC=4.500 0处.并研究存在外磁场时上述物理量随温度与外磁场的变化规律,给出物理解释.A 3-dimensional Ising model is simulated with Monte Carlo importance sampling method.Statistical values of energy,strength of magnetization,specific heat and rate of magnetization of spin links as well as their standard errors（uncertainties） are measured.3-dimensional Ising model shows spontaneous magnetization with no exterior magnetic field.Critical point of phase transformation is at J/（k_BT_C）=0.222 0 or TC=4.500 0.Phase transformation at high temperature disappears with exterior magnetic field. Relationship between physical quantities,temperature and exterior magnetic field is investigated and analyzed.

关 键 词：三维Ising模型 重点抽样法 相变临界点 温度 外磁场 

分 类 号：O414.2[理学—理论物理]