Mean field theory for weakly nonlinear composites

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

Research output: Contribution to journalArticle

44 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)192-197
Number of pages6
JournalPhysica A: Statistical Mechanics and its Applications
Volume157
Issue number1
DOIs
StatePublished - May 1 1989

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Mean-field Theory
Composite
magnetic permeability
composite materials
Susceptibility
approximation
Approximation
Composite Materials
First-order
Dependent

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Mean field theory for weakly nonlinear composites. / Zeng, X. C.; Hui, P. M.; Bergman, D. J.; Stroud, D.

In: Physica A: Statistical Mechanics and its Applications, Vol. 157, No. 1, 01.05.1989, p. 192-197.

Research output: Contribution to journalArticle

Zeng, X. C. ; Hui, P. M. ; Bergman, D. J. ; Stroud, D. / Mean field theory for weakly nonlinear composites. In: Physica A: Statistical Mechanics and its Applications. 1989 ; Vol. 157, No. 1. pp. 192-197.
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