Off-equilibrium confined dynamics in a glassy system with level-crossing states

Abstract

We study analytically the dynamics of a generalized p-spin model, starting with a thermalized initial condition. The model presents birth and death of states, hence the dynamics (even starting at equilibrium) may go out of equilibrium when the temperature is varied. We give a full description of this constrained out of equilibrium behavior and we clarify the connection to the thermodynamics by computing (sub-dominant) TAP states, constrained to the starting equilibrium configuration.

arXiv comment10 pages, 3 figures; longer version with appendix

References in corpus (12)

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• On the stationary points of the TAP free energy
• Metastable states in glassy systems
• Dynamics within metastable states in a mean-field spin glass
• On the cooling-schedule dependence of the dynamics of mean-field glasses
• Temperature evolution and bifurcations of metastable states in mean-field spin glasses, with connections with structural glasses
• The Complexity of Ising Spin Glasses
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• On the formal equivalence of the TAP and thermodynamic methods in the SK model
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Cited by in corpus (10)

• A Landscape Analysis of Constraint Satisfaction Problems
• Generalization of the cavity method for adiabatic evolution of Gibbs states
• Following Gibbs States Adiabatically - The Energy Landscape of Mean Field Glassy Systems
• Rethinking mean-field glassy dynamics and its relation with the energy landscape: the awkward case of the spherical mixed p-spin model
• Gradient descent dynamics in the mixed $p$-spin spherical model: finite size simulation and comparison with mean-field integration
• Exactly solvable spin-glass models with ferromagnetic couplings: the spherical multi-$p$-spin model in a self-induced field
• Following states in temperature in the spherical s+p-spin glass model
• Large deviations of glassy effective potentials
• A constrained TAP approach for disordered spin models: application to the mixed spherical case
• Strong ergodicity breaking in dynamical mean-field equations for mixed p-spin glasses