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VOLUME 81 | ISSUE 3 | PAGE 157
Effective conductivity of 2D isotropic two-phase systems in magnetic field
S. A. Bulgadaev, F. V. Kusmartsev+ 1)
Landau Institute for Theoretical Physics RAS, 142432 Chernogolovka, Moscow Region, Russia
+Department of Physics, Loughborough University, Loughborough, LE11 3TU, UK


PACS: 72.80.-r, 73.61.-r, 75.70.Ak
Abstract
Using the linear fractional transformation, connecting effective conductivities \widehat \sigma_{e} of isotropic two-phase systems with and without magnetic field, explicit approximate expressions for \widehat\sigma_{e} in a magnetic field are obtained. They allow to describe \widehat \sigma_{e} of various inhomogeneous media at arbitrary phase concentration x and magnetic fields. The x-dependence plots of \widehat\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 to 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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