Mean field theory for weakly nonlinear composites

X.C. Zeng, P.M. Hui, D.J. Bergman and D. Stroud

Physica A: Statistical Mechanics and its Applications, 1989, vol. 157, issue 1, 192-197

Abstract: We discuss the nonlinear behavior of a random composite material characterized by a weakly nonlinear relation between the electric displacement of the form D = ϵE + χ|E|2E, where ϵ and χ are position dependent. A general expression for the effective nonlinear susceptibility to first order in the nonlinear susceptibility of the constituents in the composite is given. A general method of approximation is introduced which gives the effective nonlinear susceptibility in terms of the solution of the linear dielectric function of the random composite. Various applications of the proposed approximation are demonstrated.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:157:y:1989:i:1:p:192-197

DOI: 10.1016/0378-4371(89)90300-2

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