Activated aging dynamics and effective trap model description in the random energy model. (3rd January 2018)

• Record Type: Journal Article
• Authors: Baity-Jesi, M; Biroli, G; Cammarota, C
• Is Part Of: Journal of statistical mechanics. (2018:Jan.)
• Publication Date: 2018-01-03
• Subjects: 7; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/aa9f43
• Languages: English
• ISSNs: 1742-5468

Abstract

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 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.