Session P53: Disordered Systems: Packing

8:00 AM–11:00 AM, Wednesday, February 29, 2012
Room: 153B

Sponsoring Unit: GSNP
Chair: Lisa Manning, Syracuse University

Abstract ID: BAPS.2012.MAR.P53.7

Abstract: P53.00007 : Glass Transition and Random Close Packing above Three Dimensions

9:12 AM–9:24 AM

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  Patrick Charbonneau
    (Duke University)

  Atsushi Ikeda
    (Universite Montpellier 2)

  Giorgio Parisi
    (Sapienza Universita di Roma)

  Francesco Zamponi
    (Ecole Normale Superieure)

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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