Percolation of holes between overlapping spheres : Monte Carlo calculation of the critical volume fraction
Open Access
- 1 January 1981
- journal article
- Published by EDP Sciences in Journal de Physique Lettres
- Vol. 42 (17), 393-395
- https://doi.org/10.1051/jphyslet:019810042017039300
Abstract
A Monte Carlo method is used to calculate the threshold of percolation of holes between overlapping spheres. At the critical volume fraction, 0.966 ± 0.007, corresponding to a dimensionless density of 0.81 ± 0.05 localization in the Lorentz model appearsKeywords
This publication has 13 references indexed in Scilit:
- Dynamical theory of diffusion and localization in a random, static fieldPhysical Review A, 1981
- Monte Carlo renormalisation-group approach to percolation on a continuum: test of universalityJournal of Physics A: General Physics, 1981
- Percolation theoryReports on Progress in Physics, 1980
- Sintering and random structuresPhysica Status Solidi (b), 1979
- Scaling theory of percolation clustersPhysics Reports, 1979
- Long-time correlation effects on displacement distributionsJournal of Statistical Physics, 1978
- Series expansions in a continuum percolation problemJournal of Physics A: General Physics, 1977
- Percolation on a Continuum and the Localization-Delocalization Transition in Amorphous SemiconductorsPhysical Review B, 1971
- A Monte Carlo solution of a two-dimensional unstructured cluster problemBiometrika, 1967
- Percolation processesMathematical Proceedings of the Cambridge Philosophical Society, 1957