### Abstract

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 language | English (US) |
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Article number | 031107 |

Pages (from-to) | 031107/1-031107/10 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 67 |

Issue number | 3 1 |

State | Published - Mar 1 2003 |

### All Science Journal Classification (ASJC) codes

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

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## Cite this

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,

*67*(3 1), 031107/1-031107/10. [031107].