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Quasi-Static Hydrodynamic Limits

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Date
2015
Link to item file
https://arxiv.org/abs/1506.06466v2
Dewey
Sciences connexes (physique, astrophysique)
Sujet
Quasi-static thermodynamic; Hydrodynamic limits; Clausius equality
Journal issue
Journal of Statistical Physics
Volume
161
Number
5
Publication date
2015
Article pages
1037-1058
Publisher
Springer
DOI
http://dx.doi.org/10.1007/s10955-015-1383-x
URI
https://basepub.dauphine.fr/handle/123456789/16391
Collections
  • CEREMADE : Publications
Metadata
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Author
De Masi, Anna
Olla, Stefano
Type
Article accepté pour publication ou publié
Abstract (EN)
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.

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