Fractional diffusion in inhomogeneous media

被引：248

作者：

Chechkin, AV

Gorenflo, R

Sokolov, IM

机构：

[1] Kharkov Phys & Technol Inst, Ctr Nat Sci, Inst Theoret Phys, UA-61108 Kharkov, Ukraine

[2] Free Univ Berlin, Dept Math & Informat, D-14195 Berlin, Germany

[3] Humboldt Univ, Inst Phys, D-12489 Berlin, Germany

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2005年 / 38卷 / 42期

关键词：

D O I：

10.1088/0305-4470/38/42/L03

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Starting from the continuous time random walk (CTRW) scheme with the space-dependent waiting-time probability density function (PDF) we obtain the time-fractional diffusion equation with varying in space fractional order of time derivative. As an example, we study the evolution of a composite system consisting of two separate regions with different subdiffusion exponents and demonstrate the effects of non-trivial drift and subdiffusion whose laws are changed in the course of time.

引用

页码：L679 / L684

页数：6

共 21 条

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