On the Out of Equilibrium Relaxation of the Sherrington - Kirkpatrick model
arXiv:cond-mat/9311016 · doi:10.1088/0305-4470/27/17/011
Abstract
We derive analytical results for the large-time relaxation of the Sherrington - Kirkpatrick model in the thermodynamic limit, starting from a random configuration. The system never achieves local equilibrium in any fixed sector of phase-space, but remains in an asymptotic out of equilibrium regime. We propose as a tool, both numerical and analytical, for the study of the out of equilibrium dynamics of spin-glass models the use of `triangle relations' which describe the geometry of the configurations at three (long) different times.
42 Pages + 3 Figures upon request