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

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

1993-11-08

arxiv.org/abs/cond-mat/9311016v1

J. Phys. A {\bf 27} 5749 (1994)

Physics

Condensed Matter

42 Pages + 3 Figures upon request

Scientific paper

10.1088/0305-4470/27/17/011

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.

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