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Dynamics within metastable states in a mean-field spin glass

A. Barrat·R. Burioni·M. Mézard
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Abstract

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

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A. Barrat, R. Burioni, M. Mézard. 1995-11-17. Dynamics within metastable states in a mean-field spin glass. https://doi.org/10.1088/0305-4470%2F29%2F5%2F001

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