Series expansion for a weakly nonlinear conductivity of random composites

Ohad Levy and David J. Bergman

Physica A: Statistical Mechanics and its Applications, 1992, vol. 191, issue 1, 475-478

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.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:191:y:1992:i:1:p:475-478

DOI: 10.1016/0378-4371(92)90571-7

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