Glass transition and random close packing above three dimensions.


Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Charbonneau, P; Ikeda, A; Parisi, G; Zamponi, F

Published Date

  • October 25, 2011

Published In

Volume / Issue

  • 107 / 18

Start / End Page

  • 185702 -

PubMed ID

  • 22107645

Pubmed Central ID

  • 22107645

Electronic International Standard Serial Number (EISSN)

  • 1079-7114

International Standard Serial Number (ISSN)

  • 0031-9007

Digital Object Identifier (DOI)

  • 10.1103/physrevlett.107.185702


  • eng