Quasi-Static Hydrodynamic Limits
De Masi, Anna; Olla, Stefano (2015), Quasi-Static Hydrodynamic Limits, Journal of Statistical Physics, 161, 5, p. 1037-1058. 10.1007/s10955-015-1383-x
TypeArticle accepté pour publication ou publié
External document linkhttps://arxiv.org/abs/1506.06466v2
Journal nameJournal of Statistical Physics
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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.
Subjects / KeywordsQuasi-static thermodynamic; Hydrodynamic limits; Clausius equality
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