Monte Carlo重整化群方法计算逾渗模型的临界指数

计算物理 ›› 1994, Vol. 11 ›› Issue (1): 113-118.

Monte Carlo重整化群方法计算逾渗模型的临界指数

杨进, 杨祖宝, 何延才

中国科学院上海硅酸盐研究所, 上海 200050

收稿日期:1992-07-26 修回日期:1993-02-20 出版日期:1994-03-25 发布日期:1994-03-25

THE CALCULATION OF CRITICAL PARAMETERS FOR THE SITE PERCOLATION PROBLEM BY MONTE CARLO RENORMALIZATION GROUP

Yang Jing, Yang Zhubao, He Yancai

Shanghai Institute of Ceramies, Academia Sinica, Shanghai 200050

Received:1992-07-26 Revised:1993-02-20 Online:1994-03-25 Published:1994-03-25

摘要/Abstract

摘要： 本文运用Monte Carlo重整化群方法计算了点遍渗中次近邻正方格子的导通阈值和临界指数,得出与最近邻正方格子属于同一普适类的结论。

关键词: Monte Carlo重整化群, 逾渗

Abstract: The percolation threshold and critical parameters are obtained for the site-percolation problem on the square lattice with next-nearest-neighbour interactions by using Monte Carlo position space renormalization group procedure.It is shown that the site percolaton problems on the square lattice with next-nearest-neighbour interactions belongs to the same universality class as that with nearest-neighbour interactions.

Key words: Monte Carlo position space renormalization group, percolation

杨进, 杨祖宝, 何延才. Monte Carlo重整化群方法计算逾渗模型的临界指数[J]. 计算物理, 1994, 11(1): 113-118.

Yang Jing, Yang Zhubao, He Yancai. THE CALCULATION OF CRITICAL PARAMETERS FOR THE SITE PERCOLATION PROBLEM BY MONTE CARLO RENORMALIZATION GROUP[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1994, 11(1): 113-118.

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