Entropy of particle packings: An illustration on a toy model

Rémi Monasson; Olivier Pouliquen

doi:10.1016/S0378-4371(96)00369-X

Entropy of particle packings: An illustration on a toy model

Rémi Monasson
, Olivier Pouliquen

Center for Atomic-scale Materials Physics (CAMP)
Laboratoire d'Hydrodynamique de l'Ecole Polytechnique

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

A toy model of particle packing is presented, which consists in arranging hexagons on a triangular lattice according to local stability rules. The number of stable packings is analytically computed and found to grow exponentially with the size of the lattice, which illustrates the concept of packing entropy first proposed by Edwards and collaborators. The analysis is carried out for both the monodispersed case and the more interesting, i.e. more disordered, bidispersed case.

langue originale	Anglais
Pages (de - à)	395-410
Nombre de pages	16
journal	Physica A: Statistical Mechanics and its Applications
Volume	236
Numéro de publication	3-4
Les DOIs	https://doi.org/10.1016/S0378-4371(96)00369-X
état	Publié - 1 mars 1997
Modification externe	Oui

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10.1016/S0378-4371(96)00369-X

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abstract = "A toy model of particle packing is presented, which consists in arranging hexagons on a triangular lattice according to local stability rules. The number of stable packings is analytically computed and found to grow exponentially with the size of the lattice, which illustrates the concept of packing entropy first proposed by Edwards and collaborators. The analysis is carried out for both the monodispersed case and the more interesting, i.e. more disordered, bidispersed case.",

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AB - A toy model of particle packing is presented, which consists in arranging hexagons on a triangular lattice according to local stability rules. The number of stable packings is analytically computed and found to grow exponentially with the size of the lattice, which illustrates the concept of packing entropy first proposed by Edwards and collaborators. The analysis is carried out for both the monodispersed case and the more interesting, i.e. more disordered, bidispersed case.

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Entropy of particle packings: An illustration on a toy model

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