Series expansion for a weakly nonlinear conductivity of random composites

Ohad Levy*, David J. Bergman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We discuss the nonlinear behavior of a simple cubic two-component random resistor network (RRN), in which the local current and voltage are related by I = gV+b|V|2V and b|V|2≪g. The macroscopic nonlinear conductivity bc is expanded as a power series in the relative difference between the ohmic conductivities of the components. The expansion is carried up to the third order. Graphs are used to aid in implementing the calculation. In the continuum case only the first term of the expansion can be calculated explicitly without detailed knowledge of the microgeometry.

Original languageEnglish
Pages (from-to)475-478
Number of pages4
JournalPhysica A: Statistical Mechanics and its Applications
Volume191
Issue number1-4
DOIs
StatePublished - 15 Dec 1992

Funding

FundersFunder number
US-Israel al Science Foundation

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