q=6态矢量Potts模型相变性质的研究  

Phase Transition of Six-State Potts Model

作　　者：孙秋华[1] 麻文军[1] 赵言诚[1] 

机构地区：[1]哈尔滨工程大学理学院,黑龙江哈尔滨150001

出　　处：《哈尔滨工程大学学报》2002年第2期101-105,共5页Journal of Harbin Engineering University

摘　　要：用变分累积展开方法 (VCE)研究 q=6态矢量Potts模型的相变性质 ,用两变分参数的尝试作用量 ,计算了 q =6态矢量Potts模型的自由能和内能累积展开到 4级的近似值 ,比热、磁化强度及自发磁化率累积展开到三级的近似值 ,并讨论其相变点及相变性质 .所得结果与MonteCarlo数值计算结果符合较好 .从此结果可以验证 ,尝试作用量应等效于系统作用量 .The phase transition of a 6_state vectorial Potts model has been studied by standard variational_cumulant expansion(VCE) method. With free energy(F) and internal energy (E) calculated to the fourth order approximation and specific heat (C) and magnetization (M) and susceptibility (χ) are calculated to the third order approximation with the trial action of two variational parameters. The position of the phase transition point establisbed is in good agreement with the results of Monte Carlo (MC). Which shows that VCE is convergent during the calculation of the 6_state vectorial potts model and the trial action is equivalent to the action of the system.

关 键 词：变分累积展开 矢量Potts模型 相变 尝试作用量 

分 类 号：O414.21[理学—理论物理]