Glass Transition and Random Close Packing above Three Dimensions

作     者：Patrick Charbonneau Atsushi Ikeda Giorgio Parisi Francesco Zamponi 

作者机构：Departments of Chemistry and Physics Duke University Durham North Carolina 27708 USA LPTMC CNRS-UMR 7600 Université Pierre et Marie Curie boîte 121 4 Place Jussieu 75005 Paris France Laboratoire Charles Coulomb UMR 5221 CNRS and Université Montpellier 2 Montpellier France Dipartimento di Fisica Sapienza Universitá di Roma INFN Sezione di Roma I IPFC-CNR P.le A. Moro 2 I-00185 Roma Italy LPT École Normale Supérieure UMR 8549 CNRS 24 Rue Lhomond 75005 Paris France 

出 版 物：《Physical Review Letters》 (Phys Rev Lett)

年 卷 期：2011年第107卷第18期

页      面：185702-185702页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

基　　金：National Science Foundation, NSF, (1055586) Seventh Framework Programme, FP7, (247328) 

主　　题：GLASS transition temperature MODE-coupling theory (Phase transformations) PACKING (Mechanical engineering) CODING theory PHENOMENOLOGY 

摘      要：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.