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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/1250

Title: Effective conductivity of 2D isotropic two-phase systems in magnetic field
Authors: Bulgadaev, S.A.
Kusmartsev, F.V.
Keywords: disordered systems
neural networks
statistical mechanics
Issue Date: 2005
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.
Description: This is a pre-print. It is also available at: http://arxiv.org/abs/cond-mat/0412729.
URI: https://dspace.lboro.ac.uk/2134/1250
Appears in Collections:Pre-Prints (Physics)

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