On the relation between conduction and diffusion in a random walk along self-similar clusters

被引：7

作者：

Arkhincheev, VE ^{[1
]}

机构：

[1] Russian Acad Sci, Buryat Sci Ctr, Siberian Branch, Ulan Ude 670047, Russia

来源：

JETP LETTERS | 1998年 / 67卷 / 07期

关键词：

D O I：

10.1134/1.567722

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The relation between diffusion and conduction in the random walk of a particle by means of Levy hops is investigated. It is shown that on account of the unusual character of Levy hops, the mobility of a particle is a nonlinear function of the electric field for arbitrarily weak fields. (C) 1998 American Institute of Physics.

引用

页码：545 / 548

页数：4

共 6 条

[1]

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

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

ARKHINCHEEV, VE ;

BASKIN, EM ;

BATIYEV, EG .

JOURNAL OF NON-CRYSTALLINE SOLIDS, 1987, 90 (1-3) :21-24

[3] RANDOM-WALKS WITH SELF-SIMILAR CLUSTERS - (STOCHASTIC-PROCESSES STABLE DISTRIBUTIONS-FRACTALS-NONDIFFERENTIABLE FUNCTIONS) [J].

HUGHES, BD ;

SHLESINGER, MF ;

MONTROLL, EW .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-PHYSICAL SCIENCES, 1981, 78 (06) :3287-3291

[4]

Mandelbrot B., 1977, Fractals: Form, Chance and Dimension

[5] POWER SPECTRA AND RANDOM-WALKS IN INTERMITTENT CHAOTIC SYSTEMS [J].

ZUMOFEN, G ;

KLAFTER, J .

PHYSICA D-NONLINEAR PHENOMENA, 1993, 69 (3-4) :436-446

[6] SCALE-INVARIANT MOTION IN INTERMITTENT CHAOTIC SYSTEMS [J].

ZUMOFEN, G ;

KLAFTER, J .

PHYSICAL REVIEW E, 1993, 47 (02) :851-863

← 1 →