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Journal Articles Physical Review B: Condensed Matter and Materials Physics (1998-2015) Year : 2001

Self-consistent effective-medium approximation for strongly nonlinear media

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Yves-Patrick Pellegrini

Abstract

A self-consistent effective-medium theory is proposed for random dielectric composites of arbitrary non-linear 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=chi E^{gamma-1}, 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.
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Dates and versions

cea-00412541 , version 1 (02-09-2009)

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Yves-Patrick Pellegrini. Self-consistent effective-medium approximation for strongly nonlinear media. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2001, 64, pp.134211. ⟨10.1103/PhysRevB.64.134211⟩. ⟨cea-00412541⟩

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