Fractional diffusion in inhomogeneous media

被引：245
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
收藏
页码：L679 / L684
页数：6
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