The conductivity of the two component system of the chessboard type |
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| Authors: | Yu N Ovchinnikov A M Dyugaev |
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| Institution: | (1) Centre de Recherches sur les Tres Basses Temperatures, associe a UIF, CNRS, BP 166, P-38042 Grenoble Cedex 09, France;(2) L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow oblast, 142432, Russia;(3) Grenoble High Magnetic Field Laboratory, MPI-FKF and CNRS, BP 166, F-38042 Grenoble Cedex 09, France |
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| Abstract: | The effective conductivity of the sample with a chessboard structure is found. The corner points are singular for the electric field and charge density. The effective conductivity, charge density and electric potential are expressed in terms of a Weierstrass elliptic function. The results are valid for films and for cylindrical samples with the same cross-section structure. We confirm the conjecture of Dykhne about the value of the effective conductivity for the chessboard structure. |
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