publication . Other literature type . Article . 2005

Fractional diffusion in inhomogeneous media

Igor Sokolov;
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  • Published: 21 Oct 2005
  • Publisher: IOP Publishing
Abstract
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.
Subjects
free text keywords: Mathematical Physics, General Physics and Astronomy, Statistical and Nonlinear Physics
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