MONTE-CARLO EXPERIMENTS ON CLUSTER SIZE DISTRIBUTION IN PERCOLATION

被引：81

作者：

HOSHEN, J

STAUFFER, D

BISHOP, GH

HARRISON, RJ

QUINN, GD

机构：

[1] UNIV COLOGNE,INST THEORET PHYS,D-5000 COLOGNE 41,FED REP GER

[2] USA,MAT & MECH RES CTR,WATERTOWN,MA 02172

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1979年 / 12卷 / 08期

关键词：

D O I：

10.1088/0305-4470/12/8/022

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Cluster statistics in two- and three-dimensional site percolation problems are derived here by Monte Carlo methods. The average number ns of percolation clusters with s occupied sites each is calculated by up to 19 runs on a 4000*4000 triangular lattice near pc. The data support the two-exponent scaling assumption ns varies as s-tauf(z'), where z'=(p/pc-1)ssigma.

引用

页码：1285 / 1307

页数：23

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