WANG Zi-ting. Anomalous Diffusion in Fractal Porous Medium[J]. Applied Mathematics and Mechanics, 2000, 21(10): 1033-1038.
Citation: WANG Zi-ting. Anomalous Diffusion in Fractal Porous Medium[J]. Applied Mathematics and Mechanics, 2000, 21(10): 1033-1038.

Anomalous Diffusion in Fractal Porous Medium

  • Received Date: 1999-01-23
  • Rev Recd Date: 2000-06-29
  • Publish Date: 2000-10-15
  • Fractal media has many characteristics different from those of homogeneous media, it has a correlated self-similar structure. The particle diffusion in pore fractal is different from Ficks diffusion, and its mean-squared displacement follows fractal scaling law. The model of particle diffusion in pore fractal by means of the statistics method of stochastic process is structured and some fractal characteristics and non-Markov property are proved.
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    Bert Ksendal.Stochastic Differential Equations[M].New York:Springer-Verlag World Publishing Corp,1989.
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    Ioannis Karatzas,Steven E.Shreve Brownian Motion and Stochastic Calculus[M].New York:Springer-Verlag World Publishing Corp,1988.
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