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

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