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arXiv 2005-04-07 DOI 10.1016/j.physleta.2005.01.071 1 views

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

Bulgadaev, S. A. · Kusmartsev, F. V.

Original · EN

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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