Non-equilibrium steady states for networks of oscillators - Université Paris Cité Accéder directement au contenu
Article Dans Une Revue Electronic Journal of Probability Année : 2018

Non-equilibrium steady states for networks of oscillators

Résumé

Non-equilibrium steady states for chains of oscillators (masses) connected by harmonic and anharmonic springs and interacting with heat baths at different temperatures have been the subject of several studies. In this paper, we show how some of the results extend to more complicated networks. We establish the existence and uniqueness of the non-equilibrium steady state, and show that the system converges to it at an exponential rate. The arguments are based on controllability and conditions on the potentials at infinity.
Fichier principal
Vignette du fichier
1712.09413.pdf (593.94 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03895768 , version 1 (13-12-2022)

Identifiants

Citer

Noé Cuneo, Jean-Pierre Eckmann, Martin Hairer, Luc Rey-Bellet. Non-equilibrium steady states for networks of oscillators. Electronic Journal of Probability, 2018, 23, pp.55. ⟨10.1214/18-EJP177⟩. ⟨hal-03895768⟩
5 Consultations
9 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More