Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9868386 | Physics Letters A | 2005 | 12 Pages |
Abstract
Using a fact that the effective conductivity ÏËe of 2D random heterophase systems in the orthogonal magnetic field is transformed under some subgroup of the linear fractional group, connected with a group of linear transformations of two conserved currents, the exact values for ÏËe of isotropic heterophase systems are found. As known, for binary (N=2) systems a determination of exact values of both conductivities (diagonal Ïed and transverse Hall Ïet) is possible only at equal phase concentrations and arbitrary values of partial conductivities. For heterophase (N⩾3) systems this method gives exact values of effective conductivities, when their partial conductivities belong to some hypersurfaces in the space of these partial conductivities and some phase concentrations are pairwise equal. In all these cases Ïe does not depend on phase concentrations. The complete, 3-parametric, explicit transformation, connecting Ïe in binary systems with a magnetic field and without it, is constructed.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
S.A. Bulgadaev, F.V. Kusmartsev,