Out-of-equilibrium dynamics in systems with long-range interactions: characterizing quasi-stationary states

Abstract

Systems with long-range interactions (LRI) display unusual thermodynamical and dynamical properties that stem from the non-additive character of the interaction potential. We focus in this work on the lack of relaxation to thermal equilibrium when a LRI system is started out-of-equilibrium. Several attempts have been made at predicting the so-called quasi-stationary state (QSS) reached by the dynamics and at characterizing the resulting transition between magnetized and non-magnetized states. We review in this work recent theories and interpretations about the QSS. Several theories exist but none of them has provided yet a full account of the dynamics found in numerical simulations.

This paper is submitted to the "Complex Systems Science Archive" repository hosting the proceedings of the European Conference on Complex Systems 2012 http://eccs2012.eu/

References in corpus (6)

• Statistical mechanics and dynamics of solvable models with long-range interactions
• Thermodynamics and dynamics of systems with long-range interactions
• Out-of-equilibrium tricritical point in a system with long-range interactions
• Core-halo distribution in the Hamiltonian Mean-Field Model
• Self-consistent inhomogeneous steady states in Hamiltonian mean field dynamics
• Phase transitions of quasistationary states in the Hamiltonian Mean Field model