`Generalized des Cloizeaux' exponent for self-avoiding walks on the incipient percolation cluster

被引：16
|
作者：
机构：
[1] Ordemann, Anke
[2] Porto, Markus
[3] Roman, H. Eduardo
[4] Havlin, Shlomo
来源：
Ordemann, Anke | 2001年 / American Inst of Physics, Woodbury, NY, United States卷 / 63期
关键词：
Lattice constants - Monte Carlo methods - Numerical methods - Percolation (solid state) - Probability distributions - Random processes;
D O I：
10.1103/PhysRevE.63.020104
中图分类号：
学科分类号：
摘要：
Self avoiding random walks (SAW) on the backbone of the incipient percolation cluster was studied using `generalized des Cloizeaux' expression. The Pythagorian and topological metrics were distinguished on percolation clusters. Mean averages were taken to analyze the scaling behavior of SAW. Numerical results for SAW on the backbone of percolation clusters were roughly consistent in two dimensions.
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