Planar isotropic two-phase systemsin perpendicular magnetic field: effective conductivity
Disordered Systems and Neural Networks
2007-05-23 v1 Statistical Mechanics
Abstract
Three explicit approximate expressions for the effective conductivity sigma_e of various planar isotropic two-phase systems in a magnetic field are obtained using the dual linear fractional transformation, connecting sigma_e of these systems with and without magnetic field. The obtained results are applicable for two-phase systems (regular and nonregular as well as random), satisfying the symmetry and self-duality conditions, and allow to describe sigma_e of various two-dimensional and layered inhomogeneous media at arbitrary phase concentrations and magnetic fields. All these results admit a direct experimental checking.
Cite
@article{arxiv.cond-mat/0504160,
title = {Planar isotropic two-phase systemsin perpendicular magnetic field: effective conductivity},
author = {S. A. Bulgadaev and F. V. Kusmartsev},
journal= {arXiv preprint arXiv:cond-mat/0504160},
year = {2007}
}
Comments
10 pages, Latex2e, 3 figures