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Self-consistent effective-medium approximation for strongly nonlinear media

delete2001-09-13
delete8
PRE
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Y
Yves-Patrick Pellegrini
DOI：10.1103/PhysRevB.64.134211delete
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Abstract

Abstract

En 中文
A self-consistent effective-medium theory is proposed for random dielectric composites of arbitrary nonlinear constitutive law. It is based on a Gaussian approximation for the probability distributions of the electric field in each component, and on second-order Taylor expansions with an integral remainder of the local energies. The effective energy is exact to second order in contrast. With power-law media with constitutive relation D= chiE(gamma -1)E, the critical exponents are s = t= (gamma + 1)/2. The theory reduces to Bruggeman's in the linear case gamma =1, and its percolation threshold is independent of the nonlinearity.
Keywords:
EFFECTIVE MECHANICAL-PROPERTIES
EFFECTIVE DIELECTRIC-CONSTANT
PATH-INTEGRAL APPROACH
COMPOSITE-MATERIALS
DECOUPLING APPROXIMATION
CONDUCTIVITY
BEHAVIOR
PERCOLATION
2ND-ORDER
THRESHOLD
AI Summary

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Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.

Journal

Physical Review B cover
Physical Review B
IF:
3.7
Papers:
15.4W
Citations:
41.0W

Organization

No organization information available