The fractional Fokker-Planck equation on comb-like model

被引：20

作者：

Zahran, MA ^{[1
]}

Abulwafa, EM ^{[1
]}

Elwakil, SA ^{[1
]}

机构：

[1] Univ Mansoura, Fac Sci, Dept Phys, Theoret Phys Grp, Mansoura 34517, Egypt

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2003年 / 323卷

关键词：

fractional calculus; anomalous diffusion; operator method;

D O I：

10.1016/S0378-4371(02)02026-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The fractional Fokker-Planck equation, were used to describe the anomalous diffusion in external fields, is derived using a comb-like structure as a background model. For the force-free case, the distribution function associated with space dependence diffusion coefficient along the backbone of the structure are obtained in a closed form of H-function. The operator method has been used to solve the fractional Fokker-Planck equation taking the external field into account. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：237 / 248

页数：12

共 29 条

[11] Non-Gaussian transport measurements and the Einstein relation in amorphous silicon [J].

Gu, Q ;

Schiff, EA ;

Grebner, S ;

Wang, F ;

Schwarz, R .

PHYSICAL REVIEW LETTERS, 1996, 76 (17) :3196-3199

[12]

GUYON E, 1993, INSTABILITIES NONEQU, V4

[13] GENERALIZATION TO SPATIALLY EXTENDED SYSTEMS OF RELATION BETWEEN STOCHASTIC LIOUVILLE EQUATIONS AND GENERALIZED MASTER EQUATIONS [J].

KENKRE, VM .

PHYSICS LETTERS A, 1978, 65 (5-6) :391-392

[14] Beyond Brownian motion [J].

Klafter, J ;

Shlesinger, MF ;

Zumofen, G .

PHYSICS TODAY, 1996, 49 (02) :33-39

[15]

MANDELBORT, 1983, FRACTAL GEOMETRY NAT

[16]

Mathai A. M., 1978, H FUNCTION APPL STAT

[17] The random walk's guide to anomalous diffusion: a fractional dynamics approach [J].

Metzler, R ;

Klafter, J .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 339 (01) :1-77

[18]

Oldham K B, 1974, FRACTIONAL CALCULUS

[19] TIME-DEPENDENT ELECTRICAL TRANSPORT IN AMORPHOUS SOLIDS - AS2SE3 [J].

PFISTER, G ;

SCHER, H .

PHYSICAL REVIEW B, 1977, 15 (04) :2062-2083

[20]

RISKEN H, 1989, FOKKERPLANCK EQUATIO

← 1 2 3 →