Effective conductivity of heterogeneous multiphase media with circular inclusions

Aldo Fiori*, Igor Janković, Gedeon Dagan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


Determining the effective conductivity of heterogeneous media is a central problem in different fields of physics. The medium considered here contains cylinders (inclusions) of random conductivities that are distributed at random in an embedding matrix. For random systems, widely encountered in applications, we derive an approximative analytical solution that applies to significantly denser configurations than Maxwell first-order approximations. The analytic solution is tested against accurate numerical simulations. The widely used effective medium approach is shown to be exact for symmetric conductivity distributions and quite accurate for asymmetrical cases.

Original languageEnglish
Article number224502
JournalPhysical Review Letters
Issue number22
StatePublished - 10 Jun 2005


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