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.
  • loading
  • [1]
    Cushman J H.Dynamics of Fluids in Hierachical Porous Media[M].New York:Academic Press,1990.
    [2]
    Bert Ksendal.Stochastic Differential Equations[M].New York:Springer-Verlag World Publishing Corp,1989.
    [3]
    Ioannis Karatzas,Steven E.Shreve Brownian Motion and Stochastic Calculus[M].New York:Springer-Verlag World Publishing Corp,1988.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2957) PDF downloads(902) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return