Effective conductivity of 2D isotropic two-phase systems in magnetic field

Details Effective conductivity of 2D isotropic two-phase systems in magnetic field Effective conductivity of 2D isotropic two-phase systems in magnetic field

2004-12-28

arxiv.org/abs/cond-mat/0412729v2

Pis'ma v ZhETF 81 (2005) 157

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, 2 figures, Latex2e, small corrections and new figures

Scientific paper

10.1134/1.1898004

Using the linear fractional transformation, connecting effective conductivities sigma_{e} of isotropic two-phase systems with and without magnetic field, explicit approximate expressions for sigma_{e} in a magnetic field are obtained. They allow to describe sigma_{e} of various inhomogeneous media at arbitrary phase concentrations x and magnetic fields. the x-dependence plots of sigma_e at some values of inhomogeneity and magnetic field are constructed. Their behaviour is qualitatively compatible with the existing experimental data. The obtained results are applicable for different two-phase systems (regular and nonregular as well as random), satisfying the symmetry and self-duality conditions, and admit a direct experimental checking.

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