Equilibrium and Dynamics of a Multi-Bath Sherrington-Kirkpatrick Model

Abstract

In this paper we study the equilibrium statistical mechanical as well as the dynamical properties of a Sherrington and Kirkpatrick model in a multi-bath setting introduced in [4]. 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.

References in corpus (9)

• Energy flow, partial equilibration and effective temperatures in systems with slow dynamics
• Broken Replica Symmetry Bounds in the Mean Field Spin Glass Model
• On the Out of Equilibrium Relaxation of the Sherrington - Kirkpatrick model
• The structural glass transition and the entropy of the metastable states
• Measuring equilibrium properties in aging systems
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• Thermal properties of slow dynamics
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Cited by in corpus (4)

• Statistical mechanics of an integrable system
• Thermalization without chaos in harmonic systems
• Stationarization and Multithermalization in spin glasses
• Thermalization with a multibath: an investigation in simple models