Aging in the random energy model
Disordered Systems and Neural Networks
2019-05-15 v1
Abstract
In this letter we announce rigorous results on the phenomenon of aging in the Glauber dynamics of the random energy model and their relation to Bouchaud's 'REM-like' trap model. We show that, below the critical temperature, if we consider a time-scale that diverges with the system size in such a way that equilibrium is almost, but not quite reached on that scale, a suitably defined autocorrelation function has the same asymptotic behaviour than its analog in the trap model.
Keywords
Cite
@article{arxiv.cond-mat/0110223,
title = {Aging in the random energy model},
author = {G. Ben Arous and A. Bovier and V. Gayrard},
journal= {arXiv preprint arXiv:cond-mat/0110223},
year = {2019}
}
Comments
4pp, PS