Nonextensive Thermodynamics and Glassy behaviour in Hamiltonian systems

TL;DR

This paper explores the complex out-of-equilibrium dynamics of Hamiltonian systems, specifically the Hamiltonian Mean Field model, highlighting its connection to nonextensive thermodynamics and glassy behavior.

Contribution

It demonstrates the relevance of nonextensive thermostatistics in understanding the anomalous pre-equilibrium dynamics of fully-coupled rotator models.

Findings

Revealed complex out-of-equilibrium behavior in HMF models

Linked nonextensive thermodynamics to glassy dynamics

Identified anomalous pre-equilibrium phenomena

Abstract

An instructive and apparently simple model of fully-coupled rotators, the so-called Hamiltonian Mean Field (HMF) model, together with a generalized version with variable interaction range, have revealed a very complex out-of-equilibrium dynamics which can be considered paradigmatic for nonextensive systems. In this short paper we illustrate the interesting anomalous pre-equilibrium dynamics, focusing on the novel connections to the generalized nonextensive thermostatistics and the recent links to glassy systems.