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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2005, Volume 81, Issue 3, Pages 157–161
(Mi jetpl1669)
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This article is cited in 10 scientific papers (total in 10 papers)
CONDENSED MATTER
Effective conductivity of 2D isotropic two-phase systems in magnetic field
S. A. Bulgadaeva, F. V. Kusmartsevb a Landau Institute for Theoretical Physics RAS,
142432 Chernogolovka, Moscow Region, Russia
b Department of Physics, Loughborough University, Loughborough, LE11
3TU, UK
Abstract:
Using the linear fractional transformation, connecting effective conductivities $\widehat \sigma_{e}$ of isotropic two-phase systems with and without magnetic field, explicit approximate expressions for $\widehat\sigma_{e}$ in a magnetic field are obtained. They allow to describe $\widehat \sigma_{e}$ of various inhomogeneous media at arbitrary phase concentration x and magnetic fields. The x-dependence plots of $\widehat\sigma_{e}$ 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 to different two-phase systems (regular and nonregular as well as random), satisfying the symmetry and self-duality conditions, and admit a direct experimental checking.
Received: 21.12.2004
Citation:
S. A. Bulgadaev, F. V. Kusmartsev, “Effective conductivity of 2D isotropic two-phase systems in magnetic field”, Pis'ma v Zh. Èksper. Teoret. Fiz., 81:3 (2005), 157–161; JETP Letters, 81:3 (2005), 125–130
Linking options:
https://www.mathnet.ru/eng/jetpl1669 https://www.mathnet.ru/eng/jetpl/v81/i3/p157
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