二维八态波茨模型的动力学指数  

The dynamic exponent of two-dimensional eight-state Potts model

作　　者：雷晓蔚[1] 

机构地区：[1]重庆文理学院物理系,重庆永川402160

出　　处：《重庆文理学院学报（自然科学版）》2011年第3期20-22,26,共4页Journal of Chongqing University of Arts and Sciences

基　　金：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.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.

关 键 词：蒙特卡罗法 动力学指数 波茨模型 无序幅 

分 类 号：O414[理学—理论物理]