The conductivity of the two component system of the chessboard type

  • Yu. N. Ovchinnikov
  • A. M. Dyugaev
Solids Electronic Properties


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.


Spectroscopy State Physics Field Theory Elementary Particle Quantum Field Theory 
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Copyright information

© MAIK "Nauka/Interperiodica" 2000

Authors and Affiliations

  • Yu. N. Ovchinnikov
    • 1
    • 2
  • A. M. Dyugaev
    • 3
  1. 1.Centre de Recherches sur les Tres Basses Temperatures, associe a UIF, CNRS, BP 166Grenoble Cedex 09France
  2. 2.L. D. Landau Institute for Theoretical PhysicsRussian Academy of SciencesChernogolovka, Moscow oblastRussia
  3. 3.Grenoble High Magnetic Field LaboratoryMPI-FKF and CNRS, BP 166Grenoble Cedex 09France

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