publication . Article . Other literature type . 2005

fractional diffusion in inhomogeneous media

Chechkin, A V; Gorenflo, R; Sokolov, I M;
  • Published: 21 Oct 2005 Journal: Journal of Physics A: Mathematical and General, volume 38, pages L679-L684 (issn: 0305-4470, eissn: 1361-6447, Copyright policy)
  • Publisher: IOP Publishing
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.
free text keywords: Mathematical Physics, General Physics and Astronomy, Statistical and Nonlinear Physics, Probability density function, Space time, Continuous-time random walk, Diffusion equation, Random walk, Anomalous diffusion, Fractional diffusion, Physics, Mathematical analysis, Time derivative
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