Derivation of an equation to calculate the average conductivity of random networks

Jürgen Bigalke

Physica A: Statistical Mechanics and its Applications, 2000, vol. 285, issue 3, 295-305

Abstract: This paper deals with the derivation of a formula developed empirically in a previous article. The equation allows the calculation of the average electrical conductivity of two-component random media over the whole range of fraction and a wide range of resistivity ratio of the components. Motivated by the good agreement with numerical and experimental data a physically based derivation of the equation is performed considering the Bose–Einstein statistics. There exist now a physical picture which enables a deeper insight in the characteristics of electrically conducting random networks.

Keywords: Random network; Mixing law; Electrical conductivity; Lattice theory (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:285:y:2000:i:3:p:295-305

DOI: 10.1016/S0378-4371(00)00262-4

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