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Partial moments of electric field strength in the problem of conductivity of binary composites: Numerical experiment on a plane disordered lattice

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Abstract

Partial (calculated by the volume of separate components) moments of electric field strength of different orders are calculated within a linear problem on the electric conductivity of binary composites. A numerical experiment is carried out on a square lattice with a size of 401 ×401 sites with randomly distributed bonds. The moments (of orders n = 2, 3,…, 6) are calculated as a function of concentration for a number of fixed values of the parameter h—the ratio of the conductivities of the components. The behavior of partial moments near the metal-dielectric phase-transition point is studied, and the corresponding critical indices are determined.

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Authors and Affiliations

  1. Emanuel Institute of Biochemical Physics, Russian Academy of Sciences, Moscow, 119991, Russia

    B. Ya. Balagurov & V. A. Kashin

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  1. B. Ya. Balagurov
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  2. V. A. Kashin
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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. 126, No. 4, 2004, pp. 926–935.

Original Russian Text Copyright © 2004 by Balagurov, Kashin.

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Balagurov, B.Y., Kashin, V.A. Partial moments of electric field strength in the problem of conductivity of binary composites: Numerical experiment on a plane disordered lattice. J. Exp. Theor. Phys. 99, 801–810 (2004). https://doi.org/10.1134/1.1826172

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  • DOI: https://doi.org/10.1134/1.1826172

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