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Self-consistent effective-medium approximation for strongly nonlinear media

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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https://hal-cea.archives-ouvertes.fr/cea-00412541
Contributor : Yves-Patrick Pellegrini <>
Submitted on : Wednesday, September 2, 2009 - 3:35:53 AM
Last modification on : Friday, April 24, 2020 - 10:28:04 AM

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

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