First-passage-time calculation of the conductivity of continuum models of multiphase composites

In Chan Kim, S. Torquato

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


We formulate a Brownian-motion simulation technique to compute exactly the effective conductivity of general continuum (off-lattice) models of n-phase heterogeneous media having phase conductivities 1,...,n, where can be finite or infinite. The appropriate first-passage-time equations at the multiphase interface are derived to reduce significantly the computation time. The method is illustrated by calculating for regular and random arrays of d-dimensional, nonoverlapping spheres (d=2 and 3) for a wide range of conductivity ratios (including perfectly insulating and superconducting particles) and volume fractions.

Original languageEnglish (US)
Pages (from-to)3198-3201
Number of pages4
JournalPhysical Review A
Issue number6
StatePublished - 1991
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics


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