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On the theory of conductivity of anisotropic composites: Lattice model

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

The electrical conductivity in a disordered anisotropic lattice model is considered using analytic methods. The effective conductivity of a weakly heterogeneous lattice in an approximation quadratic in the deviation of the local conductivity tensor \(\hat \sigma \)(r) from its mean value 〈\(\hat \sigma \)〉 is determined. In the case of a low concentration (c ≪ 1) of “defective” bonds, the conductivity in the binary lattice model is calculated in an approximation linear in c. The equations of the effective medium method are derived for an anisotropic lattice. The results are compared with the relevant results for the continuum model.

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Authors and Affiliations

  1. Emanuel Institute of Biochemical Physics, Russian Academy of Sciences, Moscow, 119334, Russia

    B. Ya. Balagurov

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  1. B. Ya. Balagurov
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Correspondence to B. Ya. Balagurov.

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Original Russian Text © B.Ya. Balagurov, 2014, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2014, Vol. 146, No. 4, pp. 810–819.

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Balagurov, B.Y. On the theory of conductivity of anisotropic composites: Lattice model. J. Exp. Theor. Phys. 119, 714–722 (2014). https://doi.org/10.1134/S1063776114090106

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  • DOI: https://doi.org/10.1134/S1063776114090106

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