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Dimensional dependence of the Stokes-Einstein relation and its violation.

dc.contributor.author Charbonneau, Benoit
dc.contributor.author Charbonneau, Patrick
dc.contributor.author Jin, Y
dc.contributor.author Parisi, G
dc.contributor.author Zamponi, Francesco
dc.coverage.spatial United States
dc.date.accessioned 2016-08-03T15:35:52Z
dc.date.accessioned 2016-08-03T15:37:01Z
dc.date.issued 2013-10-28
dc.identifier http://www.ncbi.nlm.nih.gov/pubmed/24182044
dc.identifier.uri https://hdl.handle.net/10161/12610
dc.description.abstract We generalize to higher spatial dimensions the Stokes-Einstein relation (SER) as well as the leading correction to diffusivity in finite systems with periodic boundary conditions, and validate these results with numerical simulations. We then investigate the evolution of the high-density SER violation with dimension in simple hard sphere glass formers. The analysis suggests that this SER violation disappears around dimension d(u) = 8, above which it is not observed. The critical exponent associated with the violation appears to evolve linearly in 8 - d, below d = 8, as predicted by Biroli and Bouchaud [J. Phys.: Condens. Matter 19, 205101 (2007)], but the linear coefficient is not consistent with the prediction. The SER violation with d establishes a new benchmark for theory, and its complete description remains an open problem.
dc.language eng
dc.relation.ispartof J Chem Phys
dc.relation.isversionof 10.1063/1.4825177
dc.relation.replaces http://hdl.handle.net/10161/12609
dc.relation.replaces 10161/12609
dc.title Dimensional dependence of the Stokes-Einstein relation and its violation.
dc.type Journal article
pubs.author-url http://www.ncbi.nlm.nih.gov/pubmed/24182044
pubs.begin-page 164502
pubs.issue 16
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 139
dc.identifier.eissn 1089-7690


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