ON THE CRITICAL DENSITY FOR CONTINUUM PERCOLATION OF SPHERES OF VARIABLE RADII

Authors
DHAR D
Citation
D. Dhar, ON THE CRITICAL DENSITY FOR CONTINUUM PERCOLATION OF SPHERES OF VARIABLE RADII, Physica. A, 242(3-4), 1997, pp. 341-346
Citations number
10
Categorie Soggetti
Physics
Journal title
Physica. A → ACNP
ISSN journal
03784371
Volume
242
Issue
3-4
Year of publication
1997
Pages
341 - 346
Database
ISI
SICI code
0378-4371(1997)242:3-4<341:OTCDFC>2.0.ZU;2-D
Abstract
We propose an approximate formula to determine the critical percolatio n density for continuum percolation of non-interacting spheres when th e radii of spheres are also random variables. We conjecture that this gives a strict lower bound to the critical density for all distributio ns of radii.