On the out-of-equilibrium relaxation of the Sherrington-Kirkpatrick model

Abstract

We derive analytical results for the large-time relaxation of the Sherrington\n- Kirkpatrick model in the thermodynamic limit, starting from a random\nconfiguration. The system never achieves local equilibrium in any fixed sector\nof phase-space, but remains in an asymptotic out of equilibrium regime. We\npropose as a tool, both numerical and analytical, for the study of the out of\nequilibrium dynamics of spin-glass models the use of `triangle relations' which\ndescribe the geometry of the configurations at three (long) different times.\n