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Entropy of particle packings: An illustration on a toy model

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  • Monasson, Rémi
  • Pouliquen, Olivier

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.

Suggested Citation

  • Monasson, Rémi & Pouliquen, Olivier, 1997. "Entropy of particle packings: An illustration on a toy model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 236(3), pages 395-410.
    • Handle: RePEc:eee:phsmap:v:236:y:1997:i:3:p:395-410
    DOI: 10.1016/S0378-4371(96)00369-X
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    1. Jean Weiller, 1989. "François Perroux, un grand contestataire," Revue Française d'Économie, Programme National Persée, vol. 4(2), pages 27-41.
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