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Perspective: Basic understanding of condensed phases of matter via packing models

Author(s): Torquato, Salvatore

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dc.contributor.authorTorquato, Salvatore-
dc.date.accessioned2020-10-30T18:29:23Z-
dc.date.available2020-10-30T18:29:23Z-
dc.date.issued2018-07-14en_US
dc.identifier.citationTorquato, S. (2018). Perspective: Basic understanding of condensed phases of matter via packing models. Journal of Chemical Physics, 149 (2), 10.1063/1.5036657en_US
dc.identifier.issn0021-9606-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1m22h-
dc.descriptionVolume 149, Issue 2, 14 July 2018, Article number 020901en_US
dc.description.abstract© 2018 Author(s). Packing problems have been a source of fascination for millennia and their study has produced a rich literature that spans numerous disciplines. Investigations of hard-particle packing models have provided basic insights into the structure and bulk properties of condensed phases of matter, including low-temperature states (e.g., molecular and colloidal liquids, crystals, and glasses), multiphase heterogeneous media, granular media, and biological systems. The densest packings are of great interest in pure mathematics, including discrete geometry and number theory. This perspective reviews pertinent theoretical and computational literature concerning the equilibrium, metastable, and nonequilibrium packings of hard-particle packings in various Euclidean space dimensions. In the case of jammed packings, emphasis will be placed on the “geometric-structure” approach, which provides a powerful and unified means to quantitatively characterize individual packings via jamming categories and “order” maps. It incorporates extremal jammed states, including the densest packings, maximally random jammed states, and lowest-density jammed structures. Packings of identical spheres, spheres with a size distribution, and nonspherical particles are also surveyed. We close this review by identifying challenges and open questions for future research.en_US
dc.format.extent149, 020901-1 - 020901-32en_US
dc.language.isoen_USen_US
dc.relation.ispartofJournal of Chemical Physicsen_US
dc.rightsFinal published version. This is an open access article.en_US
dc.titlePerspective: Basic understanding of condensed phases of matter via packing modelsen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1063/1.5036657-
dc.date.eissued2018-07-10en_US
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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