Rejuvenation in the random energy model

2001/05/07 by Marta Sales, M Sales, Jean‐Philippe Bouchaud +1 · 1 citation
Mathematics · Physics and Astronomy · #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1209/epl/i2001-00111-0

9 pages, 1 eps figure

arxiv created 2001/05/07 · openalex publication_date 2001/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We show that the Random Energy Model has interesting rejuvenation properties in its frozen phase. Different "susceptibilities" to temperature changes, for the free energy and for other ("magnetic" ) observables, can be computed exactly. These susceptibilities diverge at the transition temperature, as (1 − T / T c ) −3 for the free energy.

Citations

• Out of equilibrium dynamics in spin-glasses and other glassy systems
• Nonequilibrium dynamics of spin glasses
• Solution of the generalised random energy model

Cited by

• Temperature shifts in the Sinai model: static and dynamical effects