Dynamic phase diagram of the REM
Probability
2019-03-12 v1
Abstract
By studying the two-time overlap correlation function, we give a comprehensive analysis of the phase diagram of the Random Hopping Dynamics of the Random Energy Model (REM) on time-scales that are exponential in the volume. These results are derived from the convergence properties of the clock process associated to the dynamics and fine properties of the simple random walk in the -dimensional discrete cube.
Cite
@article{arxiv.1903.04446,
title = {Dynamic phase diagram of the REM},
author = {Véronique Gayrard and Lisa Hartung},
journal= {arXiv preprint arXiv:1903.04446},
year = {2019}
}
Comments
This paper is in large part based on the unpublished work arXiv:1008.3849. In particular, the analysis of the overlap correlation function is new as well as the study of the high temperature and short time-scale transition line between aging and stationarity