Random site percolation in three dimensions

被引：59

作者：

Jan, N

Stauffer, D

机构：

[1] St Francis Xavier Univ, Dept Phys, Antigonish, NS B2G 2W5, Canada

[2] Univ Cologne, Inst Theoret Phys, D-50923 Cologne, Germany

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 1998年 / 9卷 / 02期

关键词：

random site; percolation; critical exponents; Monte Carlo Simulations; three dimensions; rank;

D O I：

10.1142/S0129183198000261

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We simulate sytems up to 10 001 x 10 001 x 10 001 in three dimensions at the percolation threshold p(c) of 0.31160. We find that the fractal dimension is similar or equal to 2.53 +/- 0.02, the cluster size distribution exponent, tau, is 2.186 +/- 0.002 and an exponent of 0.85 describing how the mass of the clusters scale with rank. Corrections-to-scaling exponents of similar or equal to -0.7 are observed for n(s) and for the mass of the largest cluster. We also check the percolation threshold and report good agreement with recent values.

引用

页码：341 / 347

页数：7

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