二维Ising和XY模型的老化现象研究  

Study for aging phenomena of two-dimensional Ising and XY model

作　　者：雷晓蔚[1] 

机构地区：[1]重庆文理学院物理与信息工程系,重庆402160

出　　处：《浙江大学学报（理学版）》2007年第2期168-171,180,共5页Journal of Zhejiang University（Science Edition）

基　　金：重庆市教育委员会科学技术研究资助项目(KJ061208)

摘　　要：以动力学蒙特卡罗(Monte Carlo)模拟方法对二维伊辛(Ising)模型和二维经典XY模型展开了数值研究.从一个高温无序相淬火到临界点Tc,采用热浴迭代方法,模拟计算双时自关联函数A(t,t′=0)与t的函数标度关系,以及A(t,t′)与t/t′之间的函数关系,得到了相关临界指数.研究其中所遵循的规律,证实对二维XY模型的标度行为应该进行对数修正.预测了老化(aging)现象的普适性及其标度关系,与重整化群理论的结果相吻合.With dynamic Monte Carlo simulations, aging phenomena of two-dimensional Ising model and dynamic XY model were studied numerically. Systems were quenched to their critical point from a disordered initial state. The autocorrelation function was calculated by heat-bath algorithm. Critical exponents were also calculated. It was confirmed that for the 2D XY model, there is a logarithmic correction to scaling. The universality proposal and their scale relation in aging phenomena were predicted. The scale relation agreed with renormalization group calculations.

关 键 词：蒙特卡罗 热浴迭代 自关联函数 老化现象 标度关系 

分 类 号：O414.13[理学—理论物理]