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Effective conductivity of 2D isotropic two-phase systems in a magnetic field
<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>
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<span title="2004-12-28">2004</span>
<span class="release-stage" >pre-print</span>
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/cond-mat/0412729v1">arXiv:cond-mat/0412729v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/u3xgqkmanjfqtpiyqoes2izgha">fatcat:u3xgqkmanjfqtpiyqoes2izgha</a> </span>
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/cond-mat/0412729v1">arXiv:cond-mat/0412729v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/u3xgqkmanjfqtpiyqoes2izgha">fatcat:u3xgqkmanjfqtpiyqoes2izgha</a> </span>
<span title="2005-01-30">2005</span>
<span class="release-stage">accepted</span>
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/cond-mat/0412729v2">arXiv:cond-mat/0412729v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/seorqzwosjbfvivfsanraql47y">fatcat:seorqzwosjbfvivfsanraql47y</a> </span>
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/cond-mat/0412729v2">arXiv:cond-mat/0412729v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/seorqzwosjbfvivfsanraql47y">fatcat:seorqzwosjbfvivfsanraql47y</a> </span>
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
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... 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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