Volume 96, Number 3, November 2011
|Number of page(s)||6|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||19 October 2011|
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.