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Equilibrium fluctuations for a chain of anharmonic oscillators in the Euler scaling limit

Olla, Stefano; Xu, Lu (2020), Equilibrium fluctuations for a chain of anharmonic oscillators in the Euler scaling limit, Nonlinearity, 33, 4. 10.1088/1361-6544/ab60da

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Type
Article accepté pour publication ou publié
Date
2020
Nom de la revue
Nonlinearity
Volume
33
Numéro
4
Éditeur
IOP Science
Identifiant publication
Métadonnées
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Auteur(s)
Olla, Stefano cc
Xu, Lu
Résumé (EN)
We study the macroscopic behavior of the fluctuations in equilibrium for the conserved quantities of an anharmonic chain of oscillators under hyperbolic scaling of space and time. Under a stochastic perturbation of the dynamics conservative of such quantities, we prove that these fluctuations evolve macroscopically following the linearized Euler system of equations.
Mots-clés
Hydrodynamic Fluctuations; LInearized Euler equations; Hydrodynamic limits