Calculation of the Green's function from high- and low-density series expansions for disordered transport

Abstract

We investigate density expansions for the configurationally averaged Green's function for a random walk on a (site) disordered lattice. Two-point Padé summation techniques are used in conjunction with scaling arguments to examine behavior near the percolation density. Recent proposals for the structure of the percolation cluster are discussed in light of the results.