Electrical transport properties near a classical conductivity or percolation threshold

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Abstract

This review emphasizes progress in understanding electrical conduction and related physical properties of a composite medium near a classical conductivity threshold - mostly but not entirely in the context of a percolation threshold. Besides dc conductivity, we discuss the dielectric susceptibility in a metal-dielectric composite, Hall effect and magnetoresistance in a good conductor - bad conductor mixture, conductivity fluctuations (flicker noise) in such a composite, and weakly nonlinear behavior in a composite dielectric. Scaling theories are described for the dielectric properties and for the magnetotransport near a percolation threshold. Because the conductivity fluctuations and weak nonlinearities are sensitive to microgeometric features that do no affect the linear conductivity, measuring them can provide new information about the microstructure.

Original languageEnglish
Pages (from-to)72-88
Number of pages17
JournalPhysica A: Statistical Mechanics and its Applications
Volume157
Issue number1
DOIs
StatePublished - 1 May 1989
Externally publishedYes

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