Role of fluctuations in the phase transitions of coupled plaquette spin models of glasses
Giulio Biroli, Charlotte Rulquin, Gilles Tarjus, Marco Tarzia
SciPost Phys. 1, 007 (2016) · published 25 October 2016
- doi: 10.21468/SciPostPhys.1.1.007
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Abstract
We study the role of fluctuations on the thermodynamic glassy properties of plaquette spin models, more specifically on the transition involving an overlap order parameter in the presence of an attractive coupling between different replicas of the system. We consider both short-range fluctuations associated with the local environment on Bethe lattices and long-range fluctuations that distinguish Euclidean from Bethe lattices with the same local environment. We find that the phase diagram in the temperature-coupling plane is very sensitive to the former but, at least for the $3$-dimensional (square pyramid) model, appears qualitatively or semi-quantitatively unchanged by the latter. This surprising result suggests that the mean-field theory of glasses provides a reasonable account of the glassy thermodynamics of models otherwise described in terms of the kinetically constrained motion of localized defects and taken as a paradigm for the theory of dynamic facilitation. We discuss the possible implications for the dynamical behavior.
Cited by 12
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Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Giulio Biroli,
- 3 Charlotte Rulquin,
- 3 Gilles Tarjus,
- 3 Marco Tarzia
- 1 Commissariat à l'énergie atomique / CEA Saclay [CEA Saclay]
- 2 École Normale Supérieure [ENS]
- 3 Laboratoire de Physique Théorique de la Matière Condensée, Université Pierre et Marie Curie [LPTMC]