Effective transport properties of composites of spheres

B.U. Felderhof

Physica A: Statistical Mechanics and its Applications, 1994, vol. 207, issue 1, 13-18

Abstract: The effective linear transport properties of composites of spheres may be studied by the methods of statistical physics. The analysis leads to an exact cluster expansion. The resulting expression for the transport coefficients may be evaluated approximately as the sum of a mean field contribution and correction terms, given by cluster integrals over two-sphere and three-sphere correlation functions. Calculations of this nature have been performed for the effective dielectric constant, as well as the effective elastic constants of composites of spheres. Accurate numerical data for the effective properties may be obtained by computer simulation. An efficient formulation uses multiple expansion in Cartesian coordinates and periodic boundary conditions. Extensive numerical results have been obtained for the effective dielectric constant of a suspension of randomly distributed spheres.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:207:y:1994:i:1:p:13-18

DOI: 10.1016/0378-4371(94)90349-2

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