Numéro |
J. Phys. I France
Volume 4, Numéro 8, August 1994
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Page(s) | 1121 - 1132 | |
DOI | https://doi.org/10.1051/jp1:1994242 |
J. Phys. I France 4 (1994) 1121-1132
A model of binary assemblies of dises and its application to segregation study
J. P. Troadec1, A. Gervois2, C. Annie1 and J. Lemaître11 Groupe Matière Condensée et Matériaux, Université de Rennes 1, 35042 Rennes Cedex, France
2 Service de Physique Théorique, Direction des Sciences de la Matière CE Saclay, 91191 Gif-sur-Yvette Cedex, France
(Received 25 February 1994, accepied in final form 3 May 1994)
Abstract
We propose a theoretical model of random binary assemblies of discs which is the extension at
any packing fraction of a model previously described by Dodds for dense packings. In dilute
assemblies, the notion of contact between the grains must be replaced by that of
neighbourhood of the grains. We define the neighbours of a disc through the radical
tesselation. The model is tested on packings built grain after grain, obtained from numerical
simulations. Its results are then compared with experimental results obtained on assemblies
built on an air table this shows that the possibility of rearrangement in those assemblies
leads to segregation at a local scale.
© Les Editions de Physique 1994