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Journal Articles Journal of Statistical Mechanics: Theory and Experiment Year : 2018

Activated Aging Dynamics and Effective Trap Model Description in the Random Energy Model

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Abstract

We study the out-of-equilibrium aging dynamics of the Random Energy Model (REM) ruled by a single spin-flip Metropolis dynamics. We focus on the dynamical evolution taking place on timescales diverging with the system size. Our aim is to show to what extent the activated dynamics displayed by the REM can be described in terms of an effective trap model. We identify two time regimes: the first one corresponds to the process of escaping from a basin in the energy landscape and to the subsequent exploration of high energy configurations, whereas the second one corresponds to the evolution from a deep basin to the other. By combining numerical simulations with analytical arguments we show why the trap model description does not hold in the former but becomes exact in the second.
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Dates and versions

cea-01682952 , version 1 (12-01-2018)

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M Baity-Jesi, G. Biroli, C. Cammarota. Activated Aging Dynamics and Effective Trap Model Description in the Random Energy Model. Journal of Statistical Mechanics: Theory and Experiment, 2018, 2018, pp.013301. ⟨10.1088/1742-5468/aa9f43⟩. ⟨cea-01682952⟩
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