Numerical evidences of universal trap-like aging dynamics

Abstract

Trap models have been initially proposed as toy models for dynamical relaxation in extremely simplified rough potential energy landscapes. Their importance has considerably grown recently thanks to the discovery that the trap like aging mechanism is directly controlling the out-of-equilibrium relaxation processes of more sophisticated spin models, that are considered as the solvable counterpart of real disordered systems. Establishing on a firmer ground the connection between these spin model out-of-equilibrium behavior and the trap like aging mechanism would shed new light on the properties, still largely mysterious, of the activated out-of-equilibrium dynamics of disordered systems. In this work we discuss numerical evidences of emergent trap-like aging behavior in a variety of disordered models. Our numerical results are backed by analytic derivations and heuristic discussions. Such exploration reveals some of the tricks needed to analyze the trap behavior in spite of the occurrence of secondary processes, of the existence of dynamical correlations and of finite system's size effects.

25 pages, 15 figures

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• Theoretical perspective on the glass transition and amorphous materials
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Cited by in corpus (8)

• Relaxation dynamics of the Ising $p$-spin disordered model with finite number of variables
• Activated dynamics: an intermediate model between REM and p-spin
• Barriers, trapping times and overlaps between local minima in the dynamics of the disordered Ising $p$-spin Model
• Revisiting the Concept of Activation in Supercooled Liquids
• Glassy dynamics on networks: local spectra and return probabilities
• From entropic to energetic barriers in glassy dynamics: The Barrat-Mézard trap model on sparse networks
• Building a "trap model" of glassy dynamics from a local structural predictor of rearrangements
• Bringing together two paradigms of non-equilibrium: Fragile versus robust aging in driven glassy systems