Random walks, self-avoiding walks and 1/f noise on finite lattices

被引：0

作者：

Grüneis, F ^{[1
]}

机构：

[1] Inst Angew Stochast, D-81679 Munich, Germany

来源：

FLUCTUATION AND NOISE LETTERS | 2004年 / 4卷 / 03期

关键词：

random walks; self-avoiding walks; 1/f noise;

D O I：

10.1142/S0219477504002117

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the probabilities for a return to the origin at step n of a random walker on a finite lattice. As a consistent measure only the first returns to the origin appear to be of relevance; these include paths with self-intersections and self-avoiding polygons. Their return probabilities are power-law distributed giving rise to Ilf (b) noise. Most striking is the behavior of the self-avoiding polygons exhibiting a slope b = 0.83 for d = 2 and b = 0.93 for d = 3 independent on lattice structure.

引用

页码：L413 / L424

页数：12

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