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

1997/01/25 by E. M. Baskin, Baskin, E. M., M. V. Entin +1
Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #cond-mat.dis-nn

paper · pdf · doi:10.48550/arxiv.cond-mat/9701190

LaTex document

arxiv created 1997/01/25 · arxiv updated 2009/11/30

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.

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