In this paper we study the equilibrium statistical mechanical as well as the dynamical properties of a Sherrington-Kirkpatrick model in a multi-bath setting introduced in Cugliandolo and Kurchan (1999 Physica A 263 242-51). We show that the free energy per particle in the thermodynamical limit obeys a variational principle of Parisi type. The relation between the resulting order parameters is discussed.

Equilibrium and dynamics of a multi-bath Sherrington-Kirkpatrick model

Contucci P.;Mingione E.
2019

Abstract

In this paper we study the equilibrium statistical mechanical as well as the dynamical properties of a Sherrington-Kirkpatrick model in a multi-bath setting introduced in Cugliandolo and Kurchan (1999 Physica A 263 242-51). We show that the free energy per particle in the thermodynamical limit obeys a variational principle of Parisi type. The relation between the resulting order parameters is discussed.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/741565
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