Repeated bond traversal probabilities for the simple random walk

被引：4

作者：

Antal, T ^{[1
]}

Hilhorst, HJ

Zia, RKP

机构：

[1] Univ Geneva, Dept Phys Theor, CH-1211 Geneva 4, Switzerland

[2] Univ Paris 11, Phys Theor Lab, F-91405 Orsay, France

[3] Virginia Polytech Inst & State Univ, Dept Phys, Ctr Stochast Proc Sci & Engn, Blacksburg, VA 24061 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 39期

关键词：

D O I：

10.1088/0305-4470/35/39/301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the average number B-m(t) of bonds traversed exactly m times by a t step simple random walk. We determine B-m(t) explicitly in the scaling limit t --> infinity with m/roott fixed in dimension d = 1 and m/log t fixed in dimension d = 2. The scaling function is an erfc in d = 1 and an exponential in d = 2.

引用

页码：8145 / 8152

页数：8

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