Close to close packing

Oliver Penrose, George Stell

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


For various lattice gas models with nearest neighbor exclusion (and, in one case, second-nearest neighbor exclusion as well), we obtain lower bounds on m, the average number of particles on the nonexcluded lattice sites closest to a given particle. They are all of the form m/mcp= 1 -const · (Ncp/N - 1), where N is the number of occupied sites, mcp is the value of m at close packing, and Ncp is the value of N at close packing. An analogous result exists for hard disks in the plane.

Original languageEnglish
Pages (from-to)89-95
Number of pages7
JournalJournal of Statistical Physics
Issue number1-2
Publication statusPublished - 1 Jul 2000


  • Close packing
  • Hard disks
  • Inequalities
  • Lattice models
  • Nearest neighbor exclusion


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