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二维八态波茨模型的动力学指数
引用本文:雷晓蔚. 二维八态波茨模型的动力学指数[J]. 渝西学院学报(自然科学版), 2011, 0(3): 20-22,26
作者姓名:雷晓蔚
作者单位:重庆文理学院物理系,重庆永川402160
基金项目:重庆市教委科学技术研究项目(KJ091212); 重庆文理学院科技项目(Y2007YJ40)
摘    要:采用大规模动力学蒙特卡罗模拟方法,对二维八态正方格点波茨模型的动力学指数展开数值研究.以普适的动力学标度形式为基础,研究系统从完全有序态出发的动力学驰豫过程,通过测量在不同无序幅下的宾德累积量,确定出更精确的动力学指数z.结果表明z与无序幅的取值有关,并且远远大于二维伊辛模型的z值,表明二维随机链波茨模型与二维伊辛模型不属于同一普适类.

关 键 词:蒙特卡罗法  动力学指数  波茨模型  无序幅

The dynamic exponent of two-dimensional eight-state Potts model
LEI Xiao-wei. The dynamic exponent of two-dimensional eight-state Potts model[J]. , 2011, 0(3): 20-22,26
Authors:LEI Xiao-wei
Affiliation:LEI Xiao-wei (Department of Physics,Chongqing University of Arts and Sciences,Yongchuan Chongqing 402160,China)
Abstract:With a large-scale Monte Carlo simulation,the two-dimensional eight-state Potts model of square lattice is investigated.Starting from an ordered initial state,the dynamic evolution of the Binder cumulant is studied.Based on dynamic scaling ansatz,the dynamic exponent z is determined with relatively high accuracy.It is clear that z depends on the disorder amplitude and is much bigger than that of the two-dimensional Ising model.The two-dimensional random-bond Potts model is not in the same dynamic universality class as the two-dimensional Ising model.
Keywords:Monte Carlo methods  dynamic exponent  Potts model  disorder amplitude
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