Activated dynamics: an intermediate model between REM and p-spin

Abstract

In order to study the activated dynamics of mean-field glasses, which takes place on times of order exp(N), where N is the system size, we introduce a new model, the Correlated Random Energy Model (CREM), that allows for a smooth interpolation between the REM and the p-spin models. We study numerically and analytically the CREM in the intermediate regime between REM and p-spin. We fully characterize its energy landscape, which is like a golf-course but, at variance with the REM, has metabasins (or holes) containing several configurations. We find that an effective trap-like description for the dynamics emerges, provided that one identifies metabasins in the CREM with configurations in the trap model.

arXiv comment7 pages, 2 figures

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Cited by in corpus (10)

• Path Integral Approach Unveils the Role of Complex Energy Landscape for Activated Dynamics of Glassy Systems
• Relaxation dynamics of the Ising $p$-spin disordered model with finite number of variables
• 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
• Finite size effects and loss of self-averageness in the relaxational dynamics of the spherical Sherrington-Kirkpatrick model
• Effective Trap-like Activated Dynamics in a Continuous Landscape
• Competition between Barrier- and Entropy-Driven Activation in Glasses
• Maximum-energy records in glassy energy landscapes
• Rare Trajectories in a Prototypical Mean-field Disordered Model: Insights into Landscape and Instantons
• Localization properties of the sparse Barrat-Mézard trap model