Barriers, trapping times and overlaps between local minima in the dynamics of the disordered Ising $p$-spin Model

Abstract

We study the low temperature out of equilibrium Monte Carlo dynamics of the disordered Ising $p$-spin Model with $p=3$ and a small number of spin variables. We focus on sequences of configurations that are stable against single spin flips obtained by instantaneous gradient descent from persistent ones. We analyze the statistics of energy gaps, energy barriers and trapping times on sub-sequences such that the overlap between consecutive configurations does not overcome a threshold. We compare our results to the predictions of various trap models finding the best agreement with the step model when the $p$-spin configurations are constrained to be uncorrelated.

10 pages, 7 figures

References in corpus (4)

• Supercooled Liquids for Pedestrians
• Activated Aging Dynamics and Effective Trap Model Description in the Random Energy Model
• Finite-dimensional vestige of spinodal criticality above the dynamical glass transition
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• Competition between Barrier- and Entropy-Driven Activation in Glasses
• Localization properties of the sparse Barrat-Mézard trap model