Hamiltonian dynamics reveals the existence of quasi-stationary states for long-range systems in contact with a reservoir

TL;DR

This paper introduces a Hamiltonian dynamics framework for long-range interacting systems coupled with a thermal bath, confirming the persistence of quasi-stationary states and their reproducibility in experiments.

Contribution

It presents a novel Hamiltonian dynamics approach for long-range systems in contact with a reservoir, demonstrating the existence and stability of quasi-stationary states.

Findings

Quasi-stationary states persist despite environmental interactions

The dynamics aligns with statistical mechanics predictions

Quasi-stationary states are experimentally reproducible

Abstract

We introduce a Hamiltonian dynamics for the description of long-range interacting systems in contact with a thermal bath (i.e., in the canonical ensemble). The dynamics confirms statistical mechanics equilibrium predictions for the Hamiltonian Mean Field model and the equilibrium ensemble equivalence. We find that long-lasting quasi-stationary states persist in presence of the interaction with the environment. Our results indicate that quasi-stationary states are indeed reproducible in real physical experiments.