On the Out of Equilibrium Relaxation of the Sherrington - Kirkpatrick model

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

References in corpus (4)

• Analytical Solution of the Off-Equilibrium Dynamics of a Long Range Spin-Glass Model
• Nonequilibrium Dynamics and Aging in the Three--Dimensional Ising Spin Glass Model
• Nonequilibrium Dynamics and Aging in the Three--Dimensional Ising Spin Glass Model
• Evidence of aging in mean-field spin glass models

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