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
收藏
页码：27 / 34
页数：8
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