Out-of-equilibrium dynamical fluctuations in glassy systems

TL;DR

This paper investigates out-of-equilibrium fluctuations in glassy systems, showing that models without quenched disorder exhibit similar scaling behaviors to those with disorder, driven by a critical-like dynamical correlation length.

Contribution

It demonstrates that glassy models without quenched disorder share fluctuation scaling properties with disordered models, emphasizing the role of a dynamical correlation length.

Findings

Models without quenched disorder show similar fluctuation scalings as disordered models.

Development of a critical-like dynamical correlation length underpins the observed scaling.

A Gumbel-like distribution describes the evolution of fluctuations.

Abstract

In this paper we extend the earlier treatment of out-of-equilibrium mesoscopic fluctuations in glassy systems in several significant ways. First, via extensive simulations, we demonstrate that models of glassy behavior without quenched disorder display scalings of the probability of local two-time correlators that are qualitatively similar to that of models with short-ranged quenched interactions. The key ingredient for such scaling properties is shown to be the development of a critical-like dynamical correlation length, and not other microscopic details. This robust data collapse may be described in terms of a time-evolving Gumbel-like distribution. We develop a theory to describe both the form and evolution of these distributions based on a effective sigma-model approach.