Glass transition and random close packing above three dimensions

Details Glass transition and random close packing above three dimensions Glass transition and random close packing above three dimensions

2011-07-23

arxiv.org/abs/1107.4666v3

Phys. Rev. Lett. 107, 185702 (2011)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.107.185702

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 dimension.

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