Close to close packing

Oliver Penrose, George Stell

Research output: Contribution to journalArticle

Abstract

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
Volume100
Issue number1-2
DOIs
Publication statusPublished - 1 Jul 2000

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exclusion
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Keywords

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

Cite this

Penrose, Oliver ; Stell, George. / Close to close packing. In: Journal of Statistical Physics. 2000 ; Vol. 100, No. 1-2. pp. 89-95.
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Penrose, O & Stell, G 2000, 'Close to close packing', Journal of Statistical Physics, vol. 100, no. 1-2, pp. 89-95. https://doi.org/10.1023/A:1018679309775

Close to close packing. / Penrose, Oliver; Stell, George.

In: Journal of Statistical Physics, Vol. 100, No. 1-2, 01.07.2000, p. 89-95.

Research output: Contribution to journalArticle

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