重庆文理学院学报：自然科学版
重慶文理學院學報：自然科學版
중경문이학원학보：자연과학판
Journal of Chongqing University of Arts and Sciences
2011年
3期
20-22,26
,共4页
蒙特卡罗法%动力学指数%波茨模型%无序幅
矇特卡囉法%動力學指數%波茨模型%無序幅
몽특잡라법%동역학지수%파자모형%무서폭
Monte Carlo methods%dynamic exponent%Potts model%disorder amplitude
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.
採用大規模動力學矇特卡囉模擬方法,對二維八態正方格點波茨模型的動力學指數展開數值研究.以普適的動力學標度形式為基礎,研究繫統從完全有序態齣髮的動力學馳豫過程,通過測量在不同無序幅下的賓德纍積量,確定齣更精確的動力學指數z.結果錶明z與無序幅的取值有關,併且遠遠大于二維伊辛模型的z值,錶明二維隨機鏈波茨模型與二維伊辛模型不屬于同一普適類.
채용대규모동역학몽특잡라모의방법,대이유팔태정방격점파자모형적동역학지수전개수치연구.이보괄적동역학표도형식위기출,연구계통종완전유서태출발적동역학치예과정,통과측량재불동무서폭하적빈덕루적량,학정출경정학적동역학지수z.결과표명z여무서폭적취치유관,병차원원대우이유이신모형적z치,표명이유수궤련파자모형여이유이신모형불속우동일보괄류.
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.
