On the theory of conductivity of anisotropic composites: Lattice model

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 ( r ) from its mean value 〈 〉 is determined. In the...

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Bibliographic Details
Published in:Journal of experimental and theoretical physics 2014-10, Vol.119 (4), p.714-722
Main Author: Balagurov, B. Ya
Format: Article
Language:English
Subjects:
Anisotropy
Classical and Quantum Gravitation
Comparative analysis
Composite materials industry
Disorder
Electric properties
Electrical conductivity
Elementary Particles
Order
Particle and Nuclear Physics
Phase Transition in Condensed System
Physics
Physics and Astronomy
Quantum Field Theory
Relativity Theory
Solid State Physics
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Summary: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 ( r ) from its mean value 〈 〉 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.
ISSN:1063-7761
1090-6509
DOI:10.1134/S1063776114090106