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

TL;DR

This paper analytically investigates the out-of-equilibrium dynamics of a generalized p-spin glass model with state birth and death, revealing how temperature variations induce non-equilibrium behavior and linking it to thermodynamic states.

Contribution

It provides a comprehensive analytical description of off-equilibrium dynamics in a p-spin model with level-crossing states, connecting dynamics to thermodynamic TAP states.

Findings

Out-of-equilibrium dynamics depend on temperature changes.

States can be born or die during the evolution.

Connection established between dynamics and thermodynamic 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.