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.; Kurchan J.; Mingione E.. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - STAMPA. - 52:32(2019), pp. 324001.324001-324001.324010. [10.1088/1751-8121/ab2ce4]
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.| File | Dimensione | Formato | |
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ckm-11585-741565_def.pdf
Open Access dal 17/07/2020
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