伊辛模型临界自关联函数的Monte Carlo模拟  

Monte Carlo Simulation of Critical Autocorrelation Function of Ising Model

作　　者：雷晓蔚[1] 赵晓雨[2] 郑稷[1] 

机构地区：[1]重庆文理学院物理与信息工程系,重庆402160 [2]重庆文理学院应用技术学院,重庆402160

出　　处：《四川师范大学学报（自然科学版）》2008年第2期215-218,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：重庆市教育委员会科学技术研究基金(KJ061208)资助项目

摘　　要：采用动力学Monte Carlo模拟方法,在非平衡态临界点上,对二维伊辛(Ising)模型的自关联函数进行了数值研究.在零外场条件下,系统从高温无序初态淬火到临界点Tc,用热浴迭代算法,研究非平衡态下双时自关联函数A(t,t′)随时间的演化规律.在充分分析讨论有限尺寸效应发生的尺度范围之后,对模拟数据进行合理取舍,得到自关联函数在临界点的幂指数λc/Zc≈0.7.实验表明这个值与所选取的参考时间无关,证实短时动力学在临界区域存在普适的标度律.With dynamic Monte Carlo simulation, the autocorrelation function of two-dimensional Ising model at non-equilibrium state is studied numerically. The system is quenched to critical point from a disordered initial state, while the external field is zero. The autocorrelation function as a function of is investigated by heat-bath iterative algorithm. This paper analyzes tile data range of finite size effect, then accepts or rejects some simulation data. The critical exponent is measured as λc/Zc≈0.7 The experiment indicates that the value of the exponent is free from referenced time t＇. The universal scale relation of short-time dynamic is verified around the critical region.

关 键 词：MONTE Carlo 双时自关联函数 有限尺寸效应 临界指数 普适标度律 

分 类 号：O414[理学—理论物理]