Glass transition and random close packing above three dimensions
Disordered Systems and Neural Networks
2011-10-28 v3 Statistical Mechanics
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 dimension.
Cite
@article{arxiv.1107.4666,
title = {Glass transition and random close packing above three dimensions},
author = {Patrick Charbonneau and Atsushi Ikeda and Giorgio Parisi and Francesco Zamponi},
journal= {arXiv preprint arXiv:1107.4666},
year = {2011}
}
Comments
5 pages, 2 figures