Analytic description of anomalous diffusion in heterogeneous environments: Fokker-Planck equation without fractional derivatives.

  title={Analytic description of anomalous diffusion in heterogeneous environments: Fokker-Planck equation without fractional derivatives.},
  author={P. A. Likhomanova and Ilia Kalashnikov},
  journal={Physical review. E},
  volume={102 2-1},
This article presents a one-dimensional model of diffusion in a heterogeneous environment, which qualitatively reflects the transport properties of a polymeric membrane with carbon nanotube areas. We derive the Fokker-Planck equation from a system of stochastic equations using a diffusion regime in polymers and a ballistic diffusion regime in nanotube areas. We demonstrate how the probability density function changes in the presence of nanotubes. The mean-square displacement of nonlinear time… 

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