On the out of equilibrium order parameters in long-range spin-glases

Details On the out of equilibrium order parameters in long-range spin-glases On the out of equilibrium order parameters in long-range spin-glases

1994-09-28

arxiv.org/abs/cond-mat/9409119v2

J. Phys. A 28 (1995) 1831

Physics

Condensed Matter

25 pages, Univ. di Roma I preprint #1049 (we replaced the file by the RevTex file, figures available upon request)

Scientific paper

10.1088/0305-4470/28/7/008

We show that the dynamical order parameters can be reexpressed in terms of the distribution of the staggered auto-correlation and response functions. We calculate these distributions for the out of equilibrium dynamics of the Sherrington-Kirpatrick model at long times. The results suggest that the landscape this model visits at different long times in an out of equilibrium relaxation process is, in a sense, self-similar. Furthermore, there is a similarity between the landscape seen out of equilibrium at long times and the equilibrium landscape. The calculation is greatly simplified by making use of the superspace notation in the dynamical approach. This notation also highlights the rather mysterious formal connection between the dynamical and replica approaches.

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