title: Chaos in temperature in the Sherrington-Kirkpatrick model.
abstract: 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.
authors.affiliation: Dipartimento di Scienze Fisiche, Università "Federico II," Complesso Monte S. Angelo, I-80126 Napoli, Italy. tommaso.rizzo@inwind.it
authors.forename: T
authors.initials: T
authors.lastname: Rizzo
authors.forename: A
authors.initials: A
authors.lastname: Crisanti