THE CONDUCTIVITY OF TWO COMPONENT SYSTEM OF THE CHESS BOARD TYPE
Ovchinnikov Yu.N., Dyugaev A.M.

Received: December 16, 1999

PACS: 84.32.F

The effective conductivity of the sample with chess board 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 Weierstrass elliptic function. The results are valid for films and for cylindrical sample with the same structure of cross section. We confirm the conjecture of Dykhne about the value of the effective conductivity for the chess board structure.