RT Journal Article
T1 Numerical detection of the Gardner transition in a mean-field glass former
A1 Charbonneau, Patrick
A1 Jin, Yuliang
A1 Parisi, Giorgio
A1 Rainone, Corrado
A1 Seoane Bartolomé, Beatriz
A1 Zamponi, Francesco
AB 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.
PB American Physical Society
SN 2470-0045
YR 2015
FD 2015-07-21
LK https://hdl.handle.net/20.500.14352/116542
UL https://hdl.handle.net/20.500.14352/116542
LA eng
NO [1] P. Charbonneau, Y. Jin, G. Parisi, C. Rainone, B. Seoane, and F. Zamponi, Numerical detection of the Gardner transition in a mean-field glass former, Phys. Rev. E 92, 012316 (2015).
NO Se deposita la versión enviada (preprint) del artículo
NO Alfred P. Sloan Foundation
NO National Science Foundation (Estados Unidos)
NO Agence Nationale pour la Recherche (Francia)
NO Region Ile de France
NO Ministerio de Economía, Comercio y Empresa (España)
NO European Commission
DS Docta Complutense
RD 16 abr 2025