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A model of anomalous transport

  • Statistical, Nonlinear, and Soft Matter Physics
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Abstract

A lattice model is used to derive a system of equations describing anomalous transport in the case of low tracer concentration. In the adopted model, anomalous transport is due to nonequilibrium distribution of tracer particles over sites in an inhomogeneous lattice. It is shown that a well-known time-fractional differential equation can be derived from the lattice equations under certain additional assumptions.

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Authors and Affiliations

  1. Institute of Surface Chemistry, National Academy of Sciences of Ukraine, Kiev, 03164, Ukraine

    V. P. Shkilev

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  1. V. P. Shkilev
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Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 128, No. 3, 2005, pp. 655–661.

Original Russian Text Copyright © 2005 by Shkilev.

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Shkilev, V.P. A model of anomalous transport. J. Exp. Theor. Phys. 101, 562–567 (2005). https://doi.org/10.1134/1.2103226

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  • DOI: https://doi.org/10.1134/1.2103226

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