Universality of critical existence probability for percolation on three-dimensional lattices

被引：20

作者：

Lin, CY ^{[1
]}

Hu, CK

Chen, JA

机构：

[1] Natl Tsing Hua Univ, Inst Phys, Hsinchu 30043, Taiwan

[2] Acad Sinica, Inst Phys, Taipei 11529, Taiwan

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 05期

关键词：

D O I：

10.1088/0305-4470/31/5/004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using a histogram Monte Carlo simulation method, we calculate the existence probability E-p for bond percolation on simple cubic (sc) and body-centred cubic (bcc) lattices, and site percolation on sc lattices with free boundary conditions. The R-1 spanning rule considered by Reynolds, Stanley, and Klein is used to define percolating clusters. We find that E-p for such systems has very good finite-size scaling behaviour and the value of E-p at the critical point is universal and is about 0.265 +/- 0.005.

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收藏

页码：L111 / L117

页数：7

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