# Percolation of holes between overlapping spheres : Monte Carlo calculation of the critical volume fraction

@article{Kertsz1981PercolationOH, title={Percolation of holes between overlapping spheres : Monte Carlo calculation of the critical volume fraction}, author={J{\'a}nos Kert{\'e}sz}, journal={Journal De Physique Lettres}, year={1981}, volume={42}, pages={393-395} }

Résumé. 2014 On utilise une méthode de simulation de type Monte Carlo pour calculer le seuil de percolation des trous entre sphères en recouvrement. Le volume critique, 0,966 ± 0,007 correspondant à la densité sans dimension 0,81 ± 0,05, est le point où apparait la localisation dans le modèle de Lorentz. Abstract. 2014 A Monte Carlo method is used to calculate the threshold of percolation of holes between overlapping spheres. At the critical volume fraction, 0.966 ± 0.007, corresponding to a…

## 64 Citations

### Equivalence of the void percolation problem for overlapping spheres and a network problem

- Physics
- 1983

The percolation problem for the complement of the union of randomly located, overlapping spheres is shown to be equivalent to a bond percolation problem on the edges of the Voronoi tesselation of the…

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A real space renormalization group is formulated for continuum (off-lattice) percolation problems. It is applied to the system of overlapping discs with a variety of distributions of disc radii.…

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### Simulation of a Hard-Sphere Fluid in Bicontinuous Random Media

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- 1989

Abstract The influence of solid-phase connectivity on size-exclusion partitioning and on diffusion of a dilute hard-sphere fluid in overlapping and nonoverlapping spheres models of porous media is…

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- 1992

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### Optimal percolation of disordered segregated composites.

- Materials SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2009

It is found that the percolation threshold is generally a nonmonotonous function of segregation, and that an optimal (i.e., minimum) critical concentration exists well before maximum segregation is reached.

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The central idea of this paper is based on finding the maximum concentration of occupied sites, p_{c,k}, for which the connectivity disappears, called the inverse percolation threshold, which determines a well-defined geometrical phase transition in the system.

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