Numerical detection of the Gardner transition in a mean-field glass former.

Published

Journal Article

Recent theoretical advances predict the existence, deep into the glass phase, of a novel phase transition, the so-called Gardner transition. This transition is associated with the emergence of a complex free energy landscape composed of many marginally stable sub-basins within a glass metabasin. In this study, we explore several methods to detect numerically the Gardner transition in a simple structural glass former, the infinite-range Mari-Kurchan model. The transition point is robustly located from three independent approaches: (i) the divergence of the characteristic relaxation time, (ii) the divergence of the caging susceptibility, and (iii) the abnormal tail in the probability distribution function of cage order parameters. We show that the numerical results are fully consistent with the theoretical expectation. The methods we propose may also be generalized to more realistic numerical models as well as to experimental systems.

Full Text

Duke Authors

Cited Authors

  • Charbonneau, P; Jin, Y; Parisi, G; Rainone, C; Seoane, B; Zamponi, F

Published Date

  • July 21, 2015

Published In

Volume / Issue

  • 92 / 1

Start / End Page

  • 012316 -

PubMed ID

  • 26274170

Pubmed Central ID

  • 26274170

Electronic International Standard Serial Number (EISSN)

  • 1550-2376

International Standard Serial Number (ISSN)

  • 1539-3755

Digital Object Identifier (DOI)

  • 10.1103/physreve.92.012316

Language

  • eng