Glass transition and random close packing above three dimensions.
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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.
Published Version (Please cite this version)10.1103/PhysRevLett.107.185702
Publication InfoCharbonneau, Patrick; Ikeda, A; Parisi, G; & 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 http://hdl.handle.net/10161/12598.
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Associate 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.