A complete graph effective medium approximation for lattice and continuum percolation
LPM - Ecole Polytechnique Fédérale de Lausanne - Station 17, CH-1015 Lausanne, Switzerland
Accepted: 15 September 2011
In this paper we introduce an effective medium theory that is capable of describing site percolation in both lattice and continuum three-dimensional systems. By exploiting self-consistency with a complete graph or network of identical conductors, the resulting effective medium equation allows for a straightforward estimate of the percolation threshold, which compares well with the available numerical results. The present formalism is easily generalized to describe transport in conductor-insulator composites with different microstructure properties.
PACS: 64.60.ah – Percolation / 05.60.Cd – Classical transport / 02.10.Yn – Matrix theory
© EPLA, 2011