Effect of scratches on the conductivity of anisotropic thin films

摘要

The conductivity of a two-dimensional composite with natural anisotropy, a thin anisotropic film with a system of randomly distributed nonconducting scratches is considered. An exact expression for the conductivity in the approximation linear in the concentration of scratches is derived. The case of consider-able concentrations is examined using the generalized effective-medium theory. The conductivity near the percolation threshold is treated in the framework of similarity theory.