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Diffusion on random comb structure: effective medium approximation

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  • Arkhincheev, V.E.

Abstract

The random walks on comb model of percolation clusters are studied. The generalized diffusion equations in the form of fractal temporal derivatives are deduced. The random distributions of fingers over lengths, Gaussian and power, are studied in the effective medium approximation.

Suggested Citation

  • Arkhincheev, V.E., 2002. "Diffusion on random comb structure: effective medium approximation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 307(1), pages 131-141.
    • Handle: RePEc:eee:phsmap:v:307:y:2002:i:1:p:131-141
    DOI: 10.1016/S0378-4371(01)00603-3
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    Cited by:

    1. Arkhincheev, V.E., 2020. "The capture of particles on absorbing traps in the medium with anomalous diffusion: The effective fractional order diffusion equation and the slow temporal asymptotic of survival probability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    2. Wang, Zhaoyang & Zheng, Liancun, 2020. "Anomalous diffusion in inclined comb-branch structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).

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