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Explore the Hamiltonian dynamics of classical disordered macroscopic models in this 52-minute colloquium lecture that examines p-spin systems completely isolated from environmental influences using a classical framework that reproduces quantum quench protocols. Discover how asymptotic dynamics can achieve steady states of Gibbs-Boltzmann type for non-integrable interactions, while integrable two-body cases approach stationary states of Generalized Gibbs Boltzmann type. Learn about fascinating phase transitions occurring in both scenarios and examine efficient sampling methods for asymptotic measures. Gain insights from collaborative research involving multiple physicists working on statistical mechanics and disordered systems, with particular focus on the theoretical foundations of equilibration processes in isolated classical systems and their connections to quantum mechanical protocols.
