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.
出处
《浙江大学学报（理学版）》
CAS
CSCD
北大核心
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)
关键词
蒙特卡罗
热浴迭代
自关联函数
老化现象
标度关系
Monte Carlo
heat-bath
autocorrelation function
aging phenomena
scale relation
