Effective conductivity of 2D isotropic two-phase systems in a magnetic field |
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Authors: | S A Bulgadaev F V Kusmartsev |
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Institution: | (1) Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow region, 142432, Russia;(2) Department of Physics, Loughborough University, Loughborough, LE11 3TU, UK |
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Abstract: | Using the linear fractional transformation, which connects the effective conductivities \(\hat \sigma _e \) of isotropic two-phase systems with and without magnetic field, explicit approximate expressions for \(\hat \sigma _e \) in a magnetic field are obtained. They allow one to describe \(\hat \sigma _e \) of various inhomogeneous media at arbitrary phase concentrations x and magnetic fields. The x-dependence plots of \(\hat \sigma _e \) at some values of inhomogeneity and magnetic field are constructed. Their behavior is qualitatively compatible with the existing experimental data. The obtained results are applicable to different two-phase systems (regular and irregular as well as random), which satisfy the symmetry and self-duality conditions, and admit direct experimental checking. |
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