Lattice-based random jammed configurations for hard particles

F. H. Stillinger, H. Sakai, S. Torquato

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


Jammed packings that arise from particle removals from the close-packed triangular lattice (disks), and from the face-centered and body-centered cubic lattices (spheres), were examined. Three categories of jammed packings were distinguished: locally jammed, collectively jammed, and strictly jammed. Upper limits on the vacancy concentrations for each category were identified, as well as some of those vacancy-cluster configurations that would violate the jamming classification. Using the notion of particle-environment attrition factors, approximate local jamming enumeration functions of vacancy concentration for the three lattices were derived, and in each case a single enumeration (entropy) maximum appeared as a function of that vacancy concentration.

Original languageEnglish (US)
Article number031107
Pages (from-to)031107/1-031107/10
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number3 1
StatePublished - Mar 2003

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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