Toward the jamming threshold of sphere packings: Tunneled crystals

S. Torquato, F. H. Stillinger

Research output: Contribution to journalArticle

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Abstract

We have discovered a family of three-dimensional crystal sphere packings that are strictly jammed (i.e., mechanically stable) and yet possess an anomalously low density. This family constitutes an uncountably infinite number of crystal packings that are subpackings of the densest crystal packings and are characterized by a high concentration of self-avoiding "tunnels" (chains of vacancies) that permeate the structures. The fundamental geometric characteristics of these tunneled crystals command interest in their own right and are described here in some detail. These include the lattice vectors (that specify the packing configurations), coordination structure, Voronoi cells, and density fluctuations. The tunneled crystals are not only candidate structures for achieving the jamming threshold (lowest-density rigid packing), but may have substantially broader significance for condensed matter physics and materials science.

Original languageEnglish (US)
Article number093511
JournalJournal of Applied Physics
Volume102
Issue number9
DOIs
StatePublished - Nov 23 2007

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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