A correlation between percolation model and Ising model

被引:1
作者
Hackl, R
Morgenstern, I
机构
[1] Institut für Physik II, Universität Regensburg, 93053 Regensburg
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS C-PHYSICS AND COMPUTERS | 1996年 / 7卷 / 04期
关键词
percolation model; Ising model; Swendsen-Wang algorithm;
D O I
10.1142/S012918319600051X
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this article we will expose a connection between critical values of percolation and Ising model, i.e., the percolation threshold p(c), and the critical temperature T-c and energy E(c), respectively, by the approximation p(c) approximate to 1/2(1 - 2E(c)/kNJ)(1 - e(-2J/kBTc)). For the two- dimensional square lattice even the identity holds. For higher dimensions - up to d = 7 - and other lattice types we find remarkably small differences from one to five percent.
引用
收藏
页码:609 / 612
页数:4
相关论文
共 12 条