THE CRITICAL-POINT OF FRACTAL PERCOLATION IN 3 AND MORE DIMENSIONS

被引：5
|
作者：
FALCONER, KJ
GRIMMETT, GR
机构：
[1] Sch. of Math., Bristol Univ.
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 09期
关键词：
D O I：
10.1088/0305-4470/24/9/007
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The fractal percolation model is constructed by the progressive replacement of each cube by a random collection of sub-cubes, each sub-cube being retained with probability p. There is a critical probability p(c)(M, d) depending on the dimension d and the substitution ratio M. We point out that, for large M, the value of p(c)(M, d) is near to that of site percolation on a lattice derived from the d-dimensional hypercubic lattice by the addition of certain bonds.
引用
收藏
页码：L491 / L494
页数：4
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