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Résumé |
We study the phenomenon of the locking of the order parameter (or
synchronization) in spin glasses at low temperatures. When two systems
with independent disorders are coupled, their overlaps become similar.
A crucial question is how this effect depends on the strength of the
coupling between the two systems.
This effect is related to finite-size free-energy corrections in
mean-field spin-glass models and to correlations in the Dyson
hierarchical spin glass, a model that mimics the physics of
finite-dimensional systems.
We study this phenomenon in the mean-field approach, both analytically
and numerically, and we finally compute the critical exponents for
finite-volume corrections in mean-field theory and for the decay of
correlations in the Dyson hierarchical model. |
