Issue |
EPL
Volume 96, Number 3, November 2011
|
|
---|---|---|
Article Number | 36004 | |
Number of page(s) | 6 | |
Section | Condensed Matter: Structural, Mechanical and Thermal Properties | |
DOI | https://doi.org/10.1209/0295-5075/96/36004 | |
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
Received:
11
July
2011
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
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