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1999•Journal of Experimental and Theoretical PhysicsRequires access

Critical behavior of conductivity in two-phase, highly inhomogeneous composites

A. A. Snarskiı̆, K. V. Slipchenko, Vladimir A. Sevryukov

Open publisher page 3 citations

Abstract

We study the critical behavior of the effective conductivity of a two-phase, highly inhomogeneous medium with a finite ratio of phase conductivities. We find the critical exponents above and below the percolation threshold and at the percolation threshold itself, and establish the criteria for the applicability of a percolation-like description. We also determine the requirements for linearization of the medium as a whole at the percolation threshold. Finally, we investigate the homogenization of the system near critical fields.

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What this paper is about

We study the critical behavior of the effective conductivity of a two-phase, highly inhomogeneous medium with a finite ratio of phase conductivities. We find the critical exponents above and below the percolation threshold and at the percolation threshold itself, and establish the criteria for the applicability of a percolation-like description. We also determine the requirements for linearization of the medium as a whole at the percolation threshold. Finally, we investigate the homogenization of the system near critical fields.

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Available abstract

We study the critical behavior of the effective conductivity of a two-phase, highly inhomogeneous medium with a finite ratio of phase conductivities. We find the critical exponents above and below the percolation threshold and at the percolation threshold itself, and establish the criteria for the applicability of a percolation-like description. We also determine the requirements for linearization of the medium as a whole at the percolation threshold. Finally, we investigate the homogenization of the system near critical fields.

Key concepts: Percolation threshold, Critical exponent, Homogenization (climate), Percolation critical exponents, Directed percolation, Conductivity, Percolation (cognitive psychology), Materials science

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