DYNAMICS WITHIN METASTABLE STATES IN A MEAN-FIELD SPIN-GLASS

In this letter we present a dynamical study of the structure of metast able states (corresponding to TAP solutions) in a mean-held spin-glass model. After reviewing known results of the statical approach, we use dynamics: starting from an initial condition thermalized at a tempera ture between the statical and the dynamical transition temperatures, w e are able to study the relaxational dynamics within metastable states and we show that they are characterized by a true breaking of ergodic ity and exponential relaxation.