On the finite-size scaling of clusters in compact directed percolation

被引：3

作者：

Kearney, MJ ^{[1
]}

Martin, RJ

机构：

[1] Univ Surrey, Sch Elect & Phys Sci, Adv Technol Inst, Guildford GU2 7XH, Surrey, England

[2] UCL, Dept Math, London WC1E 6BT, England

[3] UCL, Ctr Nonlinear Dynam & Applicat, London WC1E 6BT, England

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 24期

关键词：

D O I：

10.1088/0305-4470/36/24/302

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The exact finite-size scaling properties of clusters in compact directed percolation on a square lattice are derived. The results are implicit in previous work on the enumeration of staircase polygons, but their explicit form has not been presented as such before. The analysis provides important insights into the nature of this type of percolation transition.

引用

页码：6629 / 6633

页数：5

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