ASYMPTOTICS OF RANDOM-WALK DISPLACEMENT IN A PERCOLATION SYSTEM UNDER THRESHOLD

被引：2

作者：

BURLATSKY, SF

CHERNOUTSAN, AI

RYBALCHENKO, IV

机构：

[1] IM GUBKIN GAS & OIL INST, DEPT PHYS, MOSCOW 117296, USSR

[2] ACAD SCI USSR, INST CHEM PHYS, MOSCOW 117334, USSR

来源：

PHYSICS LETTERS A | 1991年 / 161卷 / 02期

关键词：

D O I：

10.1016/0375-9601(92)90766-F

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Long-time fluctuation-induced asymptotics for the mean square displacement of a random walk on a percolation system below the percolation threshold is investigated. A Flory-like estimate is constructed. It yields the same stretched-exponential law as the dynamic scaling theory. The contribution of linear clusters is proved to determine the long-time asymptotical relaxation.

引用

收藏

页码：147 / 152

页数：6

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