Glass transition and random close packing above three dimensions.

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2011-10-28

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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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10.1103/PhysRevLett.107.185702

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Charbonneau, Patrick, Atsushi Ikeda, Giorgio Parisi and Francesco Zamponi (2011). Glass transition and random close packing above three dimensions. Phys Rev Lett, 107(18). p. 185702. 10.1103/PhysRevLett.107.185702 Retrieved from https://hdl.handle.net/10161/12598.

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Charbonneau

Patrick Charbonneau

Professor of Physics

Patrick Charbonneau is Professor of Physics at Duke University. His research in soft matter and statistical physics uses theory and computer simulations to study glassy materials and frustrated systems. He also contributes to the history of science, curating projects on quantum and statistical physics as well as food history.


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