Study of the ultrametric structure of Finite Dimensional Spin Glasses throught a constrained Monte Carlo dynamics

Details Study of the ultrametric structure of Finite Dimensional Spin Glasses throught a constrained Monte Carlo dynamics Study of the ultrametric structure of Finite Dimensional Spin Glasses throught a constrained Monte Carlo dynamics

1997-04-07

arxiv.org/abs/cond-mat/9704053v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

30 pages with 21 figures, Latex program in article style

Scientific paper

We report a very detailed relation about the study, by a constrained Monte Carlo dynamic, of a 4D EA spin glass model (J=+/- 1). In particular we concentrate our attention on the behaviour of the system under different bounds imposed in order to optimize the dynamic and try to understand the low energy states structure. We find that in the thermodynamic limit this structure is clearly ultrametric as already established for the SK model.

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