Abstract
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 Fick's 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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References
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Communicated by XIE He-ping
Foundation item: the Natural Science Foundation of Petroleum University
Biography: Wang Zi-ting (1956∼)
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Zi-ting, W. Anomalous diffusion in fractal porous medium. Appl Math Mech 21, 1145–1152 (2000). https://doi.org/10.1007/BF02458992
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DOI: https://doi.org/10.1007/BF02458992