Percolation and conductivity of random two-dimensional composites
- 20 June 1981
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 14 (17) , 2361-2376
- https://doi.org/10.1088/0022-3719/14/17/009
Abstract
Tessellating an area into convex polygons and labelling a given number of randomly chosen polygons as conducting, the rest not, creates a useful model of a disordered composite. The percolation and conduction properties of composites generated from the random Voronoi tessellation are compared with those from regular tessellations, namely the square and the hexagonal. Percolation properties of interest are the conducting cluster distribution, the percolation threshold, and the percolation probability. Conduction properties are obtained by a lattice network reduction (a finite difference type approximation to conduction) and by finite element analysis.Keywords
This publication has 20 references indexed in Scilit:
- Percolation and ConductionReviews of Modern Physics, 1973
- Inhomogeneous Transport Regime in Disordered MaterialsPhysical Review Letters, 1973
- Classical Transport in Disordered Media: Scaling and Effective-Medium TheoriesPhysical Review Letters, 1971
- Mobility of Excess Electrons in Gaseous He: A Semiclassical ApproachPhysical Review Letters, 1971
- Random packings and the structure of simple liquids. I. The geometry of random close packingProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1970
- Simple Model for Density of States and Mobility of an Electron in a Gas of Hard-Core ScatterersPhysical Review Letters, 1970
- A new Monte Carlo method for percolation problems on a latticeMathematical Proceedings of the Cambridge Philosophical Society, 1963
- Percolation processesMathematical Proceedings of the Cambridge Philosophical Society, 1957
- Percolation processesMathematical Proceedings of the Cambridge Philosophical Society, 1957
- Berechnung verschiedener physikalischer Konstanten von heterogenen Substanzen. I. Dielektrizitätskonstanten und Leitfähigkeiten der Mischkörper aus isotropen SubstanzenAnnalen der Physik, 1935