Hydrodynamic Limit for a Hamiltonian System with Boundary Conditions and Conservative Noise
Olla, Stefano; Even, Nadine (2014), Hydrodynamic Limit for a Hamiltonian System with Boundary Conditions and Conservative Noise, Archive for Rational Mechanics and Analysis, 213, 2, p. 561-585. http://dx.doi.org/10.1007/s00205-014-0741-1
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Article accepté pour publication ou publiéLien vers un document non conservé dans cette base
http://fr.arXiv.org/abs/1009.2175Date
2014Nom de la revue
Archive for Rational Mechanics and AnalysisVolume
213Numéro
2Éditeur
Springer
Pages
561-585
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Afficher la notice complèteRésumé (EN)
We study the hyperbolic scaling limit for a chain of N coupled anharmonic oscillators. The chain is open and with the following adiabatic boundary conditions: it is attached to a wall on the left and there is a force (tension) $\tau$ acting on the right.In order to provide the system of the good ergodic properties, we perturb the Hamiltonian dynamics with random local exchanges of velocities between the particles, so that momentum and energy are locally conserved. We prove that in the macroscopic limit the distribution of the density of particles, momentum and energy converge to the solution of the Euler equations, in the smooth regime of them.Mots-clés
adiabatic boundary conditions; entropy production; relative entropy; Euler equation; hydrodynamic limitPublications associées
Affichage des éléments liés par titre et auteur.
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Marchesani, Stefano; Olla, Stefano (2020) Document de travail / Working paper
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Komorowski, Tomasz; Olla, Stefano; Simon, Marielle (2021) Article accepté pour publication ou publié
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Fritz, Jozsef; Nagy, Katalin; Olla, Stefano (2006) Article accepté pour publication ou publié
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Marchesani, Stefano; Olla, Stefano (2020) Article accepté pour publication ou publié
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Marchesani, Stefano; Olla, Stefano (2020) Document de travail / Working paper