Entropy of particle packings : an illustration on a toy model

Details Entropy of particle packings : an illustration on a toy model Entropy of particle packings : an illustration on a toy model

1997-02-03

arxiv.org/abs/cond-mat/9702027v1

Physics

Condensed Matter

Statistical Mechanics

20 pages, 7 figures; to appear in Physica A

Scientific paper

A toy model of particles packings 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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