Abstract
Using a variant of the interpolating Hamiltonian technique, we show that there exists, inthe Sherrington–Kirkpatrick spin glass, an exact connection between the sample-to-samplefluctuations of the free energy and bond chaos involving two- and four-replica overlapsbetween replicas with different but correlated bonds. This relation is used to derive anupper bound of the fluctuations.
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More From: Journal of Statistical Mechanics: Theory and Experiment
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