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Authors Semeriyanov, F. ; Grenzer, M. ; Heinrich, G.
Title Anisotropic generalization of stinchcombe's solution for the conductivity of random resistor networks on a bethe lattice
Date 10.11.2009
Number 18544
Abstract Our study is based on the work of Stinchcombe (1974 J. Phys. C: Solid State Phys. 7 179) and is devoted to the calculations of average conductivity of random resistor networks placed on an anisotropic Bethe lattice. The structure of the Bethe lattice is assumed to represent the normal directions of the regular lattice. We calculate the anisotropic conductivity as an expansion in powers of the inverse coordination number of the Bethe lattice. The expansion terms retained deliver an accurate approximation of the conductivity at resistor concentrations above the percolation threshold. We make a comparison of our analytical results with those of Bernasconi (1974 Phys. Rev. B 9 4575) for the regular lattice.
Publisher Journal of Physics A: Mathematical and Theoretical
Wikidata
Citation Journal of Physics A: Mathematical and Theoretical 42 (2009) 465001 (17pp)
DOI https://doi.org/46/465001
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