Fractional reaction-diffusion

被引：268

作者：

Henry, BI ^{[1
]}

Wearne, SL ^{[1
]}

机构：

[1] Univ New S Wales, Dept Appl Math, Sch Math, Sydney, NSW 2052, Australia

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2000年 / 276卷 / 3-4期

关键词：

D O I：

10.1016/S0378-4371(99)00469-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive a fractional reaction-diffusion equation from a continuous-time random walk model with temporal memory and sources. The equation provides a general model for reaction-diffusion phenomena with anomalous diffusion such as occurs in spatially inhomogeneous environments. As a first investigation of this equation ae consider the special case of single species fractional reaction-diffusion in one dimension and show that the fractional diffusion does not by itself precipitate a Turing instability. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：448 / 455

页数：8

共 19 条

[1]

Caputo M., 1969, Elasticitae dissipazione

[2]

Feller W., 1966, INTRO PROBABILITY TH, V2

[3] FRACTIONAL DIFFUSION EQUATION FOR TRANSPORT PHENOMENA IN RANDOM-MEDIA [J].

GIONA, M ;

ROMAN, HE .

PHYSICA A, 1992, 185 (1-4) :87-97

[4] DIFFUSION IN DISORDERED MEDIA [J].

HAVLIN, S ;

BENAVRAHAM, D .

ADVANCES IN PHYSICS, 1987, 36 (06) :695-798

[5]

HUGHES BD, 1995, RANDOM WALKS RANDOM, pCH5

[6]

KENKRE VM, 1973, J STAT PHYS, V9, P1

[7] DERIVATION OF THE CONTINUOUS-TIME RANDOM-WALK EQUATION [J].

KLAFTER, J ;

SILBEY, R .

PHYSICAL REVIEW LETTERS, 1980, 44 (02) :55-58

[8] STOCHASTIC PATHWAY TO ANOMALOUS DIFFUSION [J].

KLAFTER, J ;

BLUMEN, A ;

SHLESINGER, MF .

PHYSICAL REVIEW A, 1987, 35 (07) :3081-3085

[9]

KLAFTER K, 1997, PHYSICS COMPLEX SYST, P85

[10] Fractional diffusion: Exact representations of spectral functions [J].

Metzler, R ;

Nonnenmacher, TF .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (04) :1089-1093

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