Chaos in temperature in the Sherrington-Kirkpatrick model.
We prove the existence of chaos in temperature in the Sherrington-Kirkpatrick model. The effect is exceedingly small, namely, of the ninth order in perturbation theory. The equations describing two systems at different temperatures constrained to have a fixed overlap are studied analytically and numerically, yielding information about the behavior of the overlap distribution function PT1(,T2)(q) in finite-size systems.
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Dipartimento di Scienze Fisiche, Università "Federico II," Complesso Monte S. Angelo, I-80126 Napoli, Italy. tommaso.rizzo@inwind.it
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