Abstract
We give a short overview of the results for large deviations of dynamical quantities obtained for models of glassy systems. We introduce the paper with the study of kinetically constrained models (KCMs), first without external forcing. In these models, it has been shown using the thermodynamic formalism for histories, that there is a coexistence between an active and an inactive phase. Later, it has been found that adding a driving field to a KCM model leads to a singularity in the large deviation function of the current at large fields. Finally we report on recent studies on realistic glassy systems, and open directions for future research.
Highlights
Glasses are still a challenge for theorists
We give a short overview of the results for large deviations of dynamical quantities obtained for models of glassy systems
We introduce the paper with the study of kinetically constrained models (KCMs), first without external forcing
Summary
Glasses are still a challenge for theorists. After decades of active research, it has become evident that structural and static differences between supercooled liquids and glasses are minute, and that dynamics are essential to understand the nature of glasses. We review on results obtained in the framework of simple models (KCMs- Kinetically Constrained Models) for which no consideration on energy is needed. These models [2], for which the focus is put on dynamical rules, allow for the systematic study of relevant order parameters for spacetime trajectories such as the activity K(t) or the integrated current Q(t), and of their fluctuations, more precisely their large deviation function. In meanfield as well as in finite dimensional models, this translates into a singularity in the large deviation function for the activity at s = 0. We will present recent results for large deviations in realistic glasses, for which the computational task remains a challenge
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