Date
2015
Lien vers un document non conservé dans cette base
https://arxiv.org/abs/1506.06466v2
Indexation documentaire
Sciences connexes (physique, astrophysique)
Subject
Quasi-static thermodynamic; Hydrodynamic limits; Clausius equality
Nom de la revue
Journal of Statistical Physics
Volume
161
Numéro
5
Date de publication
2015
Pages article
1037-1058
Nom de l'éditeur
Kluwer Academic Publishers etc.
Auteur
De Masi, Anna
Olla, Stefano
Type
Article accepté pour publication ou publié
Résumé en anglais
We consider hydrodynamic limits of interacting particles systems with open boundaries, where the exterior parameters change in a time scale slower than the typical relaxation time scale. The limit deterministic profiles evolve quasi-statically. These limits define rigorously the thermodynamic quasi static transformations also for transitions between non-equilibrium stationary states. We study first the case of the symmetric simple exclusion, where duality can be used, and then we use relative entropy methods to extend to other models like zero range systems. Finally we consider a chain of anharmonic oscillators in contact with a thermal Langevin bath with a temperature gradient and a slowly varying tension applied to one end.