Power Tails of Electric Field Distribution Function in 2D Metal-Insulator Composites

Abstract

The 2D "Swiss-cheese" model of conducting media with round insulator inclusions is studied in the 2nd order of inclusion concentration and near the percolation threshold. The electric field distribution function is found to have power asymptotics for fields much exceeding the average field, independently on the vicinity to the threshold, due to finite probability of arbitrary proximity of inclusions. The strong field in the narrow necks between inclusions results in the induced persistent anisotropy of the system. The critical index for noise density is found, determined by the asymptotics of electric field distribution function.