Replica field theory for composite media

M. Barthélémy and H. Orland

Physica A: Statistical Mechanics and its Applications, 1994, vol. 207, issue 1, 106-109

Abstract: In this paper we use the replica trick together with a variational method in order to compute the effective permittivity of a medium where the local permittivity is a random binary variable. We obtain an effective-medium formula previously derived by a cumulant expansion. This formula is satisfactory from many points of view (Hashin and Shtrikman bounds, low density expansion, etc.) showing that the replica method does not violate some basic principles.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:207:y:1994:i:1:p:106-109

DOI: 10.1016/0378-4371(94)90359-X

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