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

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

2005-04-07

arxiv.org/abs/cond-mat/0504160v1

Physics Letters A337 (2005) 449-456

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, Latex2e, 3 figures

Scientific paper

10.1016/j.physleta.2005.01.071

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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