Field distributions and effective-medium approximation for weakly nonlinear media

Abstract : An effective-medium theory is proposed for random weakly nonlinear dielectric media. It is based on a new gaussian approximation for the probability distributions of the electric field in each component of a multi-phase composite. These distributions are computed to linear order from a Bruggeman-like self-consistent formula. The resulting effective-medium formula for the nonlinear medium reduces to Bruggeman's in the linear case. It is exact up to second order in a weak-disorder expansion, and close to the exact result in the dilute limit (in particular, it is exact for d=1 and d=infinity. In a high contrast situation, the noise exponents are kappa=kappa'=0 near the percolation threshold. Numerical results are provided for different weak nonlinearities.
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Submitted on : Thursday, February 8, 2007 - 9:45:49 PM
Last modification on : Wednesday, July 27, 2016 - 2:48:48 PM

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Yves-Patrick Pellegrini. Field distributions and effective-medium approximation for weakly nonlinear media. Physical Review B : Condensed matter and materials physics, American Physical Society, 2000, 61, pp.9365. ⟨hal-00130052⟩

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