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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
physics and astronomy
The electrical conductivity of binary disordered systems, percolation clusters, fractals and related models
Advances in Physics, Volume 39, No. 3, Year 1990
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Description
We review theoretical and experimental studies of the AC dielectric response of inhomogeneous materials, modelled as bond percolation networks, with a binary (conductor-dielectric) distribution of bond conductances. We first summarize the key results of percolation theory, concerning mostly geometrical and static (DC) transport properties, with emphasis on the scaling properties of the critical region around the percolation threshold. The frequency-dependent (AC) response of a general binary model is then studied by means of various approaches, including the effective-medium approximation, a scaling theory of the critical region, numerical computations using the transfer-matrix algorithm, and several exactly solvable deterministic fractal models. Transient regimes, related to singularities in the complex-frequency plane, are also investigated. Theoretical predictions are made more explicit in two specific cases, namely R-C and RL-C networks, and compared with a broad variety of experimental results, concerning, for example, granular composites, thin films, powders, microemulsions, cermets, porous ceramics and the viscoelastic properties of gels. © Taylor & Francis Group, LLC.
Authors & Co-Authors
Clerc, Jean Pierre
France, Marseille
Aix Marseille Université
Giraud, G.
France, Marseille
Aix Marseille Université
Laugier, J. M.
France, Marseille
Aix Marseille Université
Madagascar, Antananarivo
Ecole Normale
Luck, J. M.
France, Gif-sur-yvette
Institut de Physique Théorique
Statistics
Citations: 521
Authors: 4
Affiliations: 3
Identifiers
Doi:
10.1080/00018739000101501
ISSN:
00018732
e-ISSN:
14606976