{ "id": "cond-mat/0412729", "version": "v2", "published": "2004-12-28T15:34:59.000Z", "updated": "2005-01-30T23:18:52.000Z", "title": "Effective conductivity of 2D isotropic two-phase systems in magnetic field", "authors": [ "S. A. Bulgadaev", "F. V. Kusmartsev" ], "comment": "9 pages, 2 figures, Latex2e, small corrections and new figures", "journal": "Pis'ma v ZhETF 81 (2005) 157", "doi": "10.1134/1.1898004", "categories": [ "cond-mat.dis-nn", "cond-mat.stat-mech" ], "abstract": "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.", "revisions": [ { "version": "v2", "updated": "2005-01-30T23:18:52.000Z" } ], "analyses": { "keywords": [ "2d isotropic two-phase systems", "magnetic field", "effective conductivity", "linear fractional transformation", "explicit approximate expressions" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }