Dimensional study of the caging order parameter at the glass transition.

Journal Article

The glass problem is notoriously hard and controversial. Even at the mean-field level, little is agreed upon regarding why a fluid becomes sluggish while exhibiting but unremarkable structural changes. It is clear, however, that the process involves self-caging, which provides an order parameter for the transition. It is also broadly assumed that this cage should have a gaussian shape in the mean-field limit. Here we show that this ansatz does not hold. By performing simulations as a function of spatial dimension d, we find the cage to keep a nontrivial form. Quantitative mean-field descriptions of the glass transition, such as mode-coupling theory, density functional theory, and replica theory, all miss this crucial element. Although the mean-field random first-order transition scenario of the glass transition is qualitatively supported here and non-mean-field corrections are found to remain small on decreasing d, reconsideration of its implementation is needed for it to result in a coherent description of experimental observations.

Full Text

Duke Authors

Cited Authors

  • Charbonneau, P; Ikeda, A; Parisi, G; Zamponi, F

Published Date

  • August 28, 2012

Published In

Volume / Issue

  • 109 / 35

Start / End Page

  • 13939 - 13943

PubMed ID

  • 22891303

Electronic International Standard Serial Number (EISSN)

  • 1091-6490

Digital Object Identifier (DOI)

  • 10.1073/pnas.1211825109

Language

  • eng

Conference Location

  • United States