Walking on fractals: diffusion and self-avoiding walks on percolation clusters

被引：22

作者：

Blavatska, V. ^{[1
,2
,3
]}

Janke, W. ^{[1
,2
]}

机构：

[1] Univ Leipzig, Inst Theoret Phys, D-04009 Leipzig, Germany

[2] Univ Leipzig, Ctr Theoret Sci NTZ, D-04009 Leipzig, Germany

[3] Natl Acad Sci Ukraine, Inst Condensed Matter Phys, UA-79011 Lvov, Ukraine

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2009年 / 42卷 / 01期

关键词：

MONTE-CARLO; CRITICAL EXPONENTS; ANOMALOUS DIFFUSION; CRITICAL-BEHAVIOR; EXACT-ENUMERATION; DILUTED LATTICES; STATISTICS; ALGORITHM; EXTENSION; BACKBONE;

D O I：

10.1088/1751-8113/42/1/015001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider random walks (RWs) and self-avoiding walks (SAWs) on disordered lattices directly at the percolation threshold. Applying numerical simulations, we study the scaling behavior of the models on the incipient percolation cluster in space dimensions d = 2, 3, 4. Our analysis yields estimates of universal exponents, governing the scaling laws for configurational properties of RWs and SAWs.

引用

页数：18

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