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On the relation between conduction and diffusion in a random walk along self-similar clusters

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Abstract

The relation between diffusion and conduction in the random walk of a particle by means of Lévy hops is investigated. It is shown that on account of the unusual character of Lévy hops, the mobility of a particle is a nonlinear function of the electric field for arbitrarily weak fields.

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Authors and Affiliations

  1. Buryat Science Center, Siberian Branch of the, Russian Academy of Sciences, 670047, Ulan-Udé, Russia

    V. E. Arkhincheev

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  1. V. E. Arkhincheev
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Pis’ma Zh. Éksp. Teor. Fiz. 67, No. 7, 518–520 (10 April 1998)

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Arkhincheev, V.E. On the relation between conduction and diffusion in a random walk along self-similar clusters. Jetp Lett. 67, 545–548 (1998). https://doi.org/10.1134/1.567722

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  • DOI: https://doi.org/10.1134/1.567722

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