POWER TAILS OF ELECTRIC-FIELD DISTRIBUTION FUNCTION IN 2D METAL-INSULATOR COMPOSITES

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 funct ion is found to have power asymptotics for the fields much higher than the average field, independent of the proximity to the threshold, due to a finite probability of arbitrary short distance between the inclu sions. The strong field in the narrow necks between inclusions results in the induced persistent anisotropy of the system. The critical inde x for noise density is found, determined by the asymptotics of the ele ctric field distribution function.