Percolation thresholds on elongated lattices

被引：10

作者：

Marrink, SJ ^{[1
]}

Knackstedt, MA

机构：

[1] Australian Natl Univ, Res Sch Phys Sci & Engn, Dept Appl Math, Canberra, ACT 0200, Australia

[2] Univ New S Wales, Australian Petr Cooperat Res Ctr, Sydney, NSW 2052, Australia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1999年 / 32卷 / 44期

关键词：

D O I：

10.1088/0305-4470/32/44/101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the percolation thresholds of both random and invasion percolation in two and three dimensions on elongated lattices; lattices with a geometry of Ld-1 x nL in d dimensions, where a denotes the aspect ratio of the lattice. Scaling laws for the threshold and spanning cluster density for random percolation are derived and simulation confirms the behaviour. A direct relationship between thresholds obtained for random percolation and invasion percolation is given and verified numerically.

引用

页码：L461 / L466

页数：6

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