Random walk properties from lattice bond enumeration: Anisotropic diffusion in lattices with periodic and randomly distributed scatterers

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Abstract
A lattice bond enumeration method recently devised for the study of random walk problems is used to rederive, with relative ease, the classic Maxwell-Rayleigh formulas for the effective de conductivity of a heterogeneous solid composed of periodically (or randomly) arrayed spheres in a medium of a different material.