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

  1. Kurt E. Shuler and
  2. Udayan Mohanty
  1. 1Department of Chemistry (B-014), University of California, San Diego, La Jolla, California 92093

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.

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