Planar isotropic two-phase systemsin perpendicular magnetic field: effective conductivity
Abstract
Three explicit approximate expressions for the effective conductivity sigmae of various planar isotropic two-phase systems in a magnetic field are obtained using the dual linear fractional transformation, connecting sigmae 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 sigmae 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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