DOI: 10.1140/epje/i2003-10006-x
3d Monte Carlo simulation of site-bond continuum percolation of spheres
M. Rottereau, J.C. Gimel, T. Nicolai and D. DurandPolymères Colloïdes Interfaces, CNRS UMR6120, Université du Maine, F-72085 Le Mans cedex 9, France jean-christophe.gimel@univ-lemans.fr
(Received 10 March 2003 / Published online: 21 May 2003)
Abstract
We present off-lattice Monte Carlo simulations of
site-bond percolation of semi-penetrable spheres or, equivalently,
of hard spheres with a finite bond range. We will show that the
crucial parameter is the effective volume fraction (
),
i.e. the volume that is occupied or within the bond range of at
least one particle. For the equivalent system of semi-penetrable
spheres
is the porosity. The bond percolation threshold
(
) can be described in terms of
by a simple
analytical expression:
, with
independent of the bond range and
a
constant that decreases with increasing bond range.
64.60.Ak - Renormalization-group, fractal, and percolation studies of phase transitions.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2003