Mean field theory for weakly nonlinear composites

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

45 Scopus citations


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.

Original languageEnglish
Pages (from-to)192-197
Number of pages6
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1
StatePublished - 1 May 1989


FundersFunder number
US National Science FoundationDMR-87-18874
US-Israel Binational Science Foundation354/85
Office of Naval ResearchNOO014-86-K-003
Defense Advanced Research Projects Agency


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