| A phase diagram for jammed matter. | |
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MedLine Citation:
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PMID: 18509438 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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The problem of finding the most efficient way to pack spheres has a long history, dating back to the crystalline arrays conjectured by Kepler and the random geometries explored by Bernal. Apart from its mathematical interest, the problem has practical relevance in a wide range of fields, from granular processing to fruit packing. There are currently numerous experiments showing that the loosest way to pack spheres (random loose packing) gives a density of approximately 55 per cent. On the other hand, the most compact way to pack spheres (random close packing) results in a maximum density of approximately 64 per cent. Although these values seem to be robust, there is as yet no physical interpretation for them. Here we present a statistical description of jammed states in which random close packing can be interpreted as the ground state of the ensemble of jammed matter. Our approach demonstrates that random packings of hard spheres in three dimensions cannot exceed a density limit of approximately 63.4 per cent. We construct a phase diagram that provides a unified view of the hard-sphere packing problem and illuminates various data, including the random-loose-packed state. |
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Authors:
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Chaoming Song; Ping Wang; Hernán A Makse |
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Publication Detail:
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Type: Journal Article; Research Support, U.S. Gov't, Non-P.H.S. |
Journal Detail:
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Title: Nature Volume: 453 ISSN: 1476-4687 ISO Abbreviation: Nature Publication Date: 2008 May |
Date Detail:
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Created Date: 2008-05-29 Completed Date: 2008-07-03 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 0410462 Medline TA: Nature Country: England |
Other Details:
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Languages: eng Pagination: 629-32 Citation Subset: - |
Affiliation:
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Levich Institute and Physics Department, City College of New York, New York, New York 10031, USA. |
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Descriptor/Qualifier:
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| Comments/Corrections | |
Comment In:
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Nature. 2008 May 29;453(7195):606-7
[PMID:
18509434
]
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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