Glass transition and random close packing above three dimensions.
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.
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Journal articlePermalink
https://hdl.handle.net/10161/12598Published Version (Please cite this version)
10.1103/PhysRevLett.107.185702Publication Info
Charbonneau, Patrick; Ikeda, Atsushi; Parisi, Giorgio; & Zamponi, Francesco (2011). Glass transition and random close packing above three dimensions. Phys Rev Lett, 107(18). pp. 185702. 10.1103/PhysRevLett.107.185702. Retrieved from https://hdl.handle.net/10161/12598.This is constructed from limited available data and may be imprecise. To cite this
article, please review & use the official citation provided by the journal.
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Show full item recordScholars@Duke
Patrick Charbonneau
Professor of Chemistry
Professor Charbonneau studies soft matter. His work combines theory and simulation
to understand the glass problem, protein crystallization, microphase formation, and colloidal
assembly in external fields.

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