We devise a new algorithm to obtain the pair-connectedness function Per) for continuumpercolation models from computer simulations. It is shown to converge rapidly to the infinitesystem limit, even near the percolation threshold, thus providing accurate estimates of Per) for a wide range of densities. We specifically consider an interpenetrable-particle model (referred to as the penetrable-conc...

We study a model for an argon-like fluid parameterised in terms of a hard-core repulsion and a two-Yukawa potential. The liquid-gas phase behaviour of the model is obtained from the thermodynamically self-consistent Ornstein-Zernike approximation (SCOZA) of Høye and Stell, the solution of which lends itself particularly well to a pair potential of this form. The predictions for the critical poi...

The Casimir energy for a compact dielectric sphere is considered in a novel way, using the quantum statistical method introduced by Høye-Stell and others. Dilute media are assumed. It turns out that this method is a very powerful one: we are actually able to derive an expression for the Casimir energy that contains also the negative part resulting from the attractive van der Waals forces betwee...

Computer-simulation results are reported for the porosity of a model of two-phase random media composed of identical D-dimensional spheres (D = 2 or 3) distributed with an arbitrary degree of impenetrability A., 0<,1 < 1; A. = 0 corresponding to randomly centered or "fully penetrable" particles and A. = 1 corresponding to totally impenetrable particles. We specifically consider the D-dimensiona...

In an effort to generalize the self-consistent Ornstein-Zernike approximation (SCOZA)-an accurate liquid state theory that has been restricted so far to hard core systems-to arbitrary soft core systems we study a combination of SCOZA with a recently developed perturbation theory. The latter was constructed by Ben-Amotz and Stell [J. Phys. Chem. B 108, 6877 (2004)] as a reformulation of the Week...