Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2008-02-21
J. Phys. A: Math. Theor. 41 (2008) 205005
Physics
Condensed Matter
Disordered Systems and Neural Networks
12 pages, no figures
Scientific paper
10.1088/1751-8113/41/20/205005
We calculate the probability distribution of the overlap between a spin glass and a copy of itself in which the bonds are randomly perturbed in varying degrees. The overlap distribution is shown to go to a delta distribution in the thermodynamic limit for arbitrarily small perturbations (bond chaos) and we obtain the scaling behaviour of the distribution with system size N in the high and low temperature phases and exactly at the critical temperature. The results are relevant for the free energy fluctuations in the Sherrington-Kirkpatrick model.
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