Transport properties of continuum systems near the percolation threshold

Abstract

We present the results of studies of transport properties of several classes of continuum disordered systems near the percolation threshold. We find that the problem can be mapped onto a percolation network with randomly occupied bonds, whose strengths of transport have a wide distribution. We show, using both the variational method and the scaling approaches, that these wide distributions of bond strengths can considerably increase the values of the various transport percolation exponents. We are able to place bounds, which are rather narrow, to these new transport percolation exponents.