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Application of Edwards' statistical mechanics to high-dimensional jammed sphere packings.

dc.contributor.author Charbonneau, Patrick
dc.contributor.author Jin, Y
dc.contributor.author Meyer, S
dc.contributor.author Song, C
dc.contributor.author Zamponi, Francesco
dc.coverage.spatial United States
dc.date.accessioned 2011-06-21T17:27:49Z
dc.date.accessioned 2016-08-03T13:44:12Z
dc.date.issued 2010-11
dc.identifier http://www.ncbi.nlm.nih.gov/pubmed/21230456
dc.identifier.uri https://hdl.handle.net/10161/12594
dc.description.abstract The isostatic jamming limit of frictionless spherical particles from Edwards' statistical mechanics [Song et al., Nature (London) 453, 629 (2008)] is generalized to arbitrary dimension d using a liquid-state description. The asymptotic high-dimensional behavior of the self-consistent relation is obtained by saddle-point evaluation and checked numerically. The resulting random close packing density scaling ϕ∼d2(-d) is consistent with that of other approaches, such as replica theory and density-functional theory. The validity of various structural approximations is assessed by comparing with three- to six-dimensional isostatic packings obtained from simulations. These numerical results support a growing accuracy of the theoretical approach with dimension. The approach could thus serve as a starting point to obtain a geometrical understanding of the higher-order correlations present in jammed packings.
dc.language eng
dc.language.iso en_US
dc.relation.ispartof Phys Rev E Stat Nonlin Soft Matter Phys
dc.relation.isversionof 10.1103/PhysRevE.82.051126
dc.relation.replaces http://hdl.handle.net/10161/4290
dc.relation.replaces 10161/4290
dc.subject Models, Theoretical
dc.subject Probability
dc.subject Thermodynamics
dc.title Application of Edwards' statistical mechanics to high-dimensional jammed sphere packings.
dc.title.alternative
dc.type Journal article
dc.description.version Version of Record
duke.date.pubdate 2010-11-18
duke.description.issue 5
duke.description.volume 82
dc.relation.journal Physical Review E
pubs.author-url http://www.ncbi.nlm.nih.gov/pubmed/21230456
pubs.begin-page 051126
pubs.issue 5 Pt 1
pubs.organisational-group Chemistry
pubs.organisational-group Duke
pubs.organisational-group Physics
pubs.organisational-group Trinity College of Arts & Sciences
pubs.publication-status Published
pubs.volume 82
dc.identifier.eissn 1550-2376


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