About nonlinear drift velocity at random walk by Levy flight: analytical solution and numerical simulations

被引：2

作者：

Arkhincheev, VE ^{[1
]}

Nomoev, AV ^{[1
]}

机构：

[1] Buryat Sci Ctr, Ulan Ude, Russia

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 1999年 / 269卷 / 2-4期

基金：

俄罗斯基础研究基金会;

关键词：

random walks; Levy flight; drift; nonlinearity;

D O I：

10.1016/S0378-4371(99)00113-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The relation between diffusion and conductivity is established for a case of diffusing particle moved by means of Levy hops. It is shown that due to an unusual character of the Levy flight a particle velocity depends on electrical field in nonlinear way in arbitrary weak fields. A nonlinear velocity is found by independent numerical simulations too and in accordance with theoretical predictions. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：293 / 298

页数：6

共 13 条

[1]

ARKHINCHEEV VE, 1991, ZH EKSP TEOR FIZ+, V100, P292

[2] DIFFUSION AND CONDUCTIVITY IN PERCOLATION SYSTEMS NEAR THE PERCOLATION-THRESHOLD [J].