Glass transition and random close packing above three dimensions.

dc.contributor.author

Charbonneau, Patrick

dc.contributor.author

Ikeda, Atsushi

dc.contributor.author

Parisi, Giorgio

dc.contributor.author

Zamponi, Francesco

dc.coverage.spatial

United States

dc.date.accessioned

2016-08-03T13:48:02Z

dc.date.issued

2011-10-28

dc.description.abstract

Motivated by a recently identified severe discrepancy between a static and a dynamic theory of glasses, we numerically investigate the behavior of dense hard spheres in spatial dimensions 3 to 12. Our results are consistent with the static replica theory, but disagree with the dynamic mode-coupling theory, indicating that key ingredients of high-dimensional physics are missing from the latter. We also obtain numerical estimates of the random close packing density, which provides new insights into the mathematical problem of packing spheres in large dimensions.

dc.identifier

http://www.ncbi.nlm.nih.gov/pubmed/22107645

dc.identifier.eissn

1079-7114

dc.identifier.uri

https://hdl.handle.net/10161/12598

dc.language

eng

dc.publisher

American Physical Society (APS)

dc.relation.ispartof

Phys Rev Lett

dc.relation.isversionof

10.1103/PhysRevLett.107.185702

dc.title

Glass transition and random close packing above three dimensions.

dc.type

Journal article

duke.contributor.orcid

Charbonneau, Patrick|0000-0001-7174-0821

pubs.author-url

http://www.ncbi.nlm.nih.gov/pubmed/22107645

pubs.begin-page

185702

pubs.issue

18

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

107

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