Statistical mechanics of convex bodies

François Bavaud

Research output: Contribution to journalArticle

Abstract

The difficulties inherent in the construction of two-dimensional pressure ensembles are discussed, and are tackled by defining an energy cost depending on the convex hull of the set of particles. An energy proportional to the area of the convex hull is not able to prevent evaporation of the system, whereas an energy proportional to the area of the circumcircle of the convex hull ensures a thermodynamic behavior. In the latter model, which turns out to be exactly solvable, various characterizations are given of the geometry of a typical state. © 1989 Plenum Publishing Corporation.

Original languageEnglish
Pages (from-to)1059-1068
Number of pages10
JournalJournal of Statistical Physics
Volume57
Issue number5-6
DOIs
Publication statusPublished - Dec 1989

Keywords

  • container-free systems
  • isoperimetric deficit
  • Pressure ensemble
  • two-dimensional random polytopes

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