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

S. A. Bulgadaev, F. V. Kusmartsev
<span title="">2005</span> <i title="Pleiades Publishing Ltd"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/zpwh7u5k4rbm3ojos42e5kjiw4" style="color: black;">JETP Letters : Journal of Experimental And Theoretical Physics Letters</a> </i> &nbsp;
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
more &raquo; ... 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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