Abundance of regular orbits and out-of-equilibrium phase transitions in the thermodynamic limit for long-range systems - Équipe Systèmes dynamiques : théories et applications Accéder directement au contenu
Article Dans Une Revue Physical Review Letters Année : 2008

Abundance of regular orbits and out-of-equilibrium phase transitions in the thermodynamic limit for long-range systems

Résumé

We investigate the dynamics of many-body long-range interacting systems, taking the Hamiltonian Mean Field model as a case study. We show that an abundance of regular trajectories, associated with invariant tori of the single-particle dynamics, exists. The presence of such tori provides a dynamical interpretation of the emergence of long-lasting out-of-equilibrium regimes observed generically in long-range systems. This is alternative to a previous statistical mechanics approach to such phenomena which was based on a maximum entropy principle. Previously detected out-of-equilibrium phase transitions are also reinterpreted within this framework.
Fichier principal
Vignette du fichier
bachelard_prl_final.pdf (4.68 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00322931 , version 1 (19-09-2008)
hal-00322931 , version 2 (12-01-2009)

Identifiants

Citer

Romain Bachelard, Cristel Chandre, Duccio Fanelli, Xavier Leoncini, Stefano Ruffo. Abundance of regular orbits and out-of-equilibrium phase transitions in the thermodynamic limit for long-range systems. Physical Review Letters, 2008, 101 (26), pp.260603. ⟨10.1103/PhysRevLett.101.260603⟩. ⟨hal-00322931v2⟩
192 Consultations
106 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More