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Anomalous diffusion in generalized Dykhne model

  • Order, Disorder, and Phase Transition in Condensed System
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Abstract

Contaminant transport is investigated in the generalized Dykhne model differing from the original Dykhne model by the presence of advection in the high-permeability medium. An analysis is presented of transport regimes and concentration tail behavior in the high-permeability medium. It is found that the transport regimes include anomalous ones: subdiffusion and quasi-diffusion. A difference is revealed between longitudinal and transverse transport. Regime change over time leads to multiple-regime long-distance asymptotic behavior of concentration distributions. An analogy is drawn between the problems examined here and transport through comb structures.

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Authors and Affiliations

  1. Nuclear Safety Institute, Russian Academy of Sciences, Moscow, 115191, Russia

    O. A. Dvoretskaya, P. S. Kondratenko & L. V. Matveev

  2. Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow oblast, 141700, Russia

    O. A. Dvoretskaya, P. S. Kondratenko & L. V. Matveev

Authors
  1. O. A. Dvoretskaya
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  2. P. S. Kondratenko
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  3. L. V. Matveev
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Correspondence to P. S. Kondratenko.

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Original Russian Text © O.A. Dvoretskaya, P.S. Kondratenko, L.V. Matveev, 2010, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ-Fiziki, 2010, Vol. 137, No. 1, pp.67–76.

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Dvoretskaya, O.A., Kondratenko, P.S. & Matveev, L.V. Anomalous diffusion in generalized Dykhne model. J. Exp. Theor. Phys. 110, 58–66 (2010). https://doi.org/10.1134/S1063776110010085

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  • DOI: https://doi.org/10.1134/S1063776110010085

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