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.
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页数：18
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