Universal scaling functions and quantities in percolation models

被引：20

作者：

Hu, CK ^{[1
]}

Chen, JA

Lin, CY

机构：

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

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

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 1999年 / 266卷 / 1-4期

关键词：

percolation; universality; scaling function; finite size;

D O I：

10.1016/S0378-4371(98)00570-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We briefly review recent work on universal finite-size scaling functions (UFSSFs) and quantities in percolation models. The topics under discussion include: (a) UFSSFs for the existence probability (also called crossing probability) E-p, the percolation probability P, and the probability W-n of the appearance of n percolating clusters, (b) universal slope for average number of percolating clusters, (c) UFSSFs for a q-state bond-correlated percolation model corresponding to the q-state Potts model. We also briefly mention some very recent related developments and discuss implications of our results. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：27 / 34

页数：8