Mean field theory for weakly nonlinear composites

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)192-197
Journal / PublicationPhysica A: Statistical Mechanics and its Applications
Volume157
Issue number1
Publication statusPublished - 1 May 1989
Externally publishedYes

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 = ε{lunate}E + χ|E|2E, where ε{lunate} 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. © 1989.

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Citation Format(s)

Mean field theory for weakly nonlinear composites. / Zeng, X. C.; Hui, P. M.; Bergman, D. J. et al.
In: Physica A: Statistical Mechanics and its Applications, Vol. 157, No. 1, 01.05.1989, p. 192-197.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review