On chaos in mean field spin glasses

Details On chaos in mean field spin glasses On chaos in mean field spin glasses

1994-12-16

arxiv.org/abs/cond-mat/9412083v1

Physics

Condensed Matter

19 pages, Latex

Scientific paper

10.1088/0305-4470/28/9/012

We study the correlations between two equilibrium states of SK spin glasses at different temperatures or magnetic fields. The question, presiously investigated by Kondor and Kondor and V\'egs\"o, is approached here constraining two copies of the same system at different external parameters to have a fixed overlap. We find that imposing an overlap different from the minimal one implies an extensive cost in free energy. This confirms by a different method the Kondor's finding that equilibrium states corresponding to different values of the external parameters are completely uncorrelated. We also consider the Generalized Random Energy Model of Derrida as an example of system with strong correlations among states at different temperatures.

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