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Activated aging dynamics and effective trap model description in the random energy model

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Chiara Cammarota, Giulio Biroli

Original languageEnglish
Article number013301
Pages (from-to)013301-25
Number of pages25
JournalJournal of Statistical Mechanics (JSTAT)
Accepted/In press29 Nov 2017
Published3 Jan 2018

King's Authors


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 time-scales 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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