Exact calculation to second order of the effective dielectric constant of a strongly nonlinear inhomogeneous composite

Raphael Blumenfeld, David J. Bergman

Research output: Contribution to journalArticlepeer-review

Abstract

We study strongly nonlinear and inhomogeneous dielectrics that follow a power-law relation between the electric and the displacement fields, D=EE. Considering a narrow distribution of local dielectric constants (r), we find the first correction to the potential field. Using this result we present an exact calculation of the effective dielectric constant of an isotropic system to second order in the fluctuations (r). Our result is independent of details of the local geometry and represents the nonlinear analog of the exact calculation in linear dielectrics.

Original languageEnglish
Pages (from-to)1987-1989
Number of pages3
JournalPhysical Review B-Condensed Matter
Volume40
Issue number3
DOIs
StatePublished - 1989

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