3d Monte Carlo simulation of site-bond continuum percolation of spheresM. Rottereau, J.C. Gimel, T. Nicolai and D. Durand
Polymères Colloïdes Interfaces, CNRS UMR6120, Université du Maine, F-72085 Le Mans cedex 9, France firstname.lastname@example.org
(Received 10 March 2003 / Published online: 21 May 2003)
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