Monte Carlo calculation of effective diffusivities in two- and three-dimensional heterogeneous materials of variable structure

Mark R. Riley, Fernando J. Muzzio, Helen M. Buettner, Sebastian C. Reyes

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18 Scopus citations


A Monte Carlo technique that simulates tracer diffusion in multiphase materials of arbitrary complexity has been developed. Effective diffusivities are calculated for structures consisting of either overlapping or nonoverlapping inclusions with diffusivity Dc distributed in a continuous phase with diffusivity D0>Dc. Two-dimensional simulations for various values of D0/Dc generate normalized diffusivities that correspond closely to their three-dimensional counterparts; they nearly collapse to a common curve when a simple scaling relation is applied.

Original languageEnglish (US)
Pages (from-to)3500-3503
Number of pages4
JournalPhysical Review E
Issue number4
Publication statusPublished - Jan 1 1994


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

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