- 01-375 G. Ben Arous (EPFL), A. Bovier (WIAS), V. Gayrard (EPFL)
- Glauber Dynamics of the random energy model. 2.
Aging below the critical temperature
Oct 16, 01
(auto. generated ps),
of related papers
Abstract. We investigate the long-time behavior of the Glauber dynamics for the
random energy model below the critical temperature. We establish that
for a suitably chosen timescale that diverges with the size of the system,
one can prove that a natural autocorrelation function
exhibits aging. Moreover, we show that the
long-time asymptotics of this function coincide with those of the so-called
``REM-like trap model'' proposed by Bouchaud and Dean. Our results rely on
very precise estimates on the distribution of transition times of the process
between different states of extremely low energy.