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 ( φe), 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 1 - φe is the porosity. The bond percolation threshold (p b) can be described in terms of φe by a simple analytical expression: log(φe)/log(φec) + log(p b)/log(p bc) = 1, with p bc = 0.12 independent of the bond range and φec a constant that decreases with increasing bond range.
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Received: 10 March 2003 / Accepted: 23 April 2003 / Published online: 21 May 2003
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ID="a"e-mail: jean-christophe.gimel@univ-lemans.fr
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Rottereau, M., Gimel, J., Nicolai, T. et al. 3d Monte Carlo simulation of site-bond continuum percolation of spheres. Eur Phys J E 11, 61–64 (2003). https://doi.org/10.1140/epje/i2003-10006-x
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DOI: https://doi.org/10.1140/epje/i2003-10006-x