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arXiv · 1805.04581

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

Marco Baity-Jesi·Alexandre Achard-de Lustrac·Giulio Biroli
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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.

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Marco Baity-Jesi, Alexandre Achard-de Lustrac, Giulio Biroli. 2018-05-11. Activated dynamics: an intermediate model between REM and p-spin. https://doi.org/10.1103/physreve.98.012133

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