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Dimensional study of the dynamical arrest in a random Lorentz gas.

dc.contributor.author Charbonneau, Patrick
dc.contributor.author Jin, Y
dc.coverage.spatial United States
dc.date.accessioned 2016-08-03T15:53:16Z
dc.date.issued 2015-04
dc.identifier http://www.ncbi.nlm.nih.gov/pubmed/25974497
dc.identifier.uri https://hdl.handle.net/10161/12620
dc.description.abstract The random Lorentz gas (RLG) is a minimal model for transport in heterogeneous media. Upon increasing the obstacle density, it exhibits a growing subdiffusive transport regime and then a dynamical arrest. Here, we study the dimensional dependence of the dynamical arrest, which can be mapped onto the void percolation transition for Poisson-distributed point obstacles. We numerically determine the arrest in dimensions d=2-6. Comparison of the results with standard mode-coupling theory reveals that the dynamical theory prediction grows increasingly worse with d. In an effort to clarify the origin of this discrepancy, we relate the dynamical arrest in the RLG to the dynamic glass transition of the infinite-range Mari-Kurchan-model glass former. Through a mixed static and dynamical analysis, we then extract an improved dimensional scaling form as well as a geometrical upper bound for the arrest. The results suggest that understanding the asymptotic behavior of the random Lorentz gas may be key to surmounting fundamental difficulties with the mode-coupling theory of glasses.
dc.language eng
dc.relation.ispartof Phys Rev E Stat Nonlin Soft Matter Phys
dc.relation.isversionof 10.1103/PhysRevE.91.042313
dc.subject Gases
dc.subject Glass
dc.subject Hydrodynamics
dc.subject Models, Theoretical
dc.subject Phase Transition
dc.title Dimensional study of the dynamical arrest in a random Lorentz gas.
dc.type Journal article
pubs.author-url http://www.ncbi.nlm.nih.gov/pubmed/25974497
pubs.begin-page 042313
pubs.issue 4
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 91
dc.identifier.eissn 1550-2376


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