Planar isotropic two-phase systemsin perpendicular magnetic field: effective conductivity

S. A. Bulgadaev; F. V. Kusmartsev

doi:10.1016/j.physleta.2005.01.071

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Planar isotropic two-phase systemsin perpendicular magnetic field: effective conductivity

S. A. Bulgadaev·F. V. Kusmartsev

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Abstract

Three explicit approximate expressions for the effective conductivity sigma_e of various planar isotropic two-phase systems in a magnetic field are obtained using the dual linear fractional transformation, connecting sigma_e of these systems with and without magnetic field. The obtained results are applicable for two-phase systems (regular and nonregular as well as random), satisfying the symmetry and self-duality conditions, and allow to describe sigma_e of various two-dimensional and layered inhomogeneous media at arbitrary phase concentrations and magnetic fields. All these results admit a direct experimental checking.

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S. A. Bulgadaev, F. V. Kusmartsev. 2005-04-07. Planar isotropic two-phase systemsin perpendicular magnetic field: effective conductivity. https://doi.org/10.1016/j.physleta.2005.01.071

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