ON THE OUT-OF-EQUILIBRIUM RELAXATION OF THE SHERRINGTON-KIRKPATRICK MODEL

Starting from a set of assumptions on the long-time limit behaviour of the non-equilibrium relaxation of mean-field models in the thermodyna mic limit, we derive analytical results for the long-time relaxation o f the Sherrington-Kirkpatrick model, starting from a random configurat ion. The system never achieves local equilibrium in any fixed sector o f phase space, but remains in an asymptotic out-of-equilibrium regime. We clearly state and motivate the assumptions made. For the study of the out-of-equilibrium dynamics of spin-glass models, we propose as a tool, both numerical and analytical, the use of 'triangle relations' w hich describe the geometry of the configuration at three (long) differ ent times.