Effective conductivity of suspensions of hard spheres by Brownian motion simulation

In Chan Kim, S. Torquato

Research output: Contribution to journalArticle

93 Scopus citations

Abstract

A generalized Brownian motion simulation technique developed by Kim and Torquato [J. Appl. Phys. 68, 3892 (1990)] is applied to compute "exactly" the effective conductivity σe of heterogeneous media composed of regular and random distributions of hard spheres of conductivity σ2 in a matrix of conductivity σ1 for virtually the entire volume fraction range and for several values of the conductivity ratio α=σ2/ σ1, including superconducting spheres (α=∞) and perfectly insulating spheres (α=0). A key feature of the procedure is the use of first-passage-time equations in the two homogeneous phases and at the two-phase interface. The method is shown to yield σe accurately with a comparatively fast execution time. The microstructure-sensitive analytical approximation of σe for dispersions derived by Torquato [J. Appl. Phys. 58, 3790 (1985)] is shown to be in excellent agreement with our data for random suspensions for the wide range of conditions reported here.

Original languageEnglish (US)
Pages (from-to)2280-2289
Number of pages10
JournalJournal of Applied Physics
Volume69
Issue number4
DOIs
StatePublished - 1991

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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