Packing and percolation of poly-disperse discs and spheres

Details Packing and percolation of poly-disperse discs and spheres Packing and percolation of poly-disperse discs and spheres

2005-08-26

arxiv.org/abs/cond-mat/0508633v1

The Proceedings of Second COE Workshop on Sphere Packings (2005)187-197

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages with 8 figures

Scientific paper

For the binary discs packed in two dimensions, the packing fraction of disc assembly becomes lower than that of the monodisperse system when the size ratio is close to unity. We show that the suppressed packing fraction is caused by an increase of the adjacent neighbours with long bonds where the adjacent neighbours is defined on the basis of the Laguerre (radical) tessellation. For the poly-disperse systems in two and three dimensions, the packing fraction is shown to have a minimuma as a function of the poly-dispersity. Percolation process in the densely packed discs and spheres is also studied. The critical area (volume) fraction in two (three) dimensions is shown to be a monotonically increasing (decreasing) function of the poly-dispersity.

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