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Hopping and the Stokes-Einstein relation breakdown in simple glass formers.

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 2016-08-03T15:49:59Z
dc.date.issued 2014-10-21
dc.identifier http://www.ncbi.nlm.nih.gov/pubmed/25288722
dc.identifier 1417182111
dc.identifier.uri https://hdl.handle.net/10161/12617
dc.description.abstract One of the most actively debated issues in the study of the glass transition is whether a mean-field description is a reasonable starting point for understanding experimental glass formers. Although the mean-field theory of the glass transition--like that of other statistical systems--is exact when the spatial dimension d → ∞, the evolution of systems properties with d may not be smooth. Finite-dimensional effects could dramatically change what happens in physical dimensions,d = 2, 3. For standard phase transitions finite-dimensional effects are typically captured by renormalization group methods, but for glasses the corrections are much more subtle and only partially understood. Here, we investigate hopping between localized cages formed by neighboring particles in a model that allows to cleanly isolate that effect. By bringing together results from replica theory, cavity reconstruction, void percolation, and molecular dynamics, we obtain insights into how hopping induces a breakdown of the Stokes-Einstein relation and modifies the mean-field scenario in experimental systems. Although hopping is found to supersede the dynamical glass transition, it nonetheless leaves a sizable part of the critical regime untouched. By providing a constructive framework for identifying and quantifying the role of hopping, we thus take an important step toward describing dynamic facilitation in the framework of the mean-field theory of glasses.
dc.language eng
dc.relation.ispartof Proc Natl Acad Sci U S A
dc.relation.isversionof 10.1073/pnas.1417182111
dc.subject activated processes
dc.subject cavity method
dc.subject random first-order transition
dc.title Hopping and the Stokes-Einstein relation breakdown in simple glass formers.
dc.type Journal article
pubs.author-url http://www.ncbi.nlm.nih.gov/pubmed/25288722
pubs.begin-page 15025
pubs.end-page 15030
pubs.issue 42
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 111
dc.identifier.eissn 1091-6490


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