Hydrodynamic Limit for a Hamiltonian system with Boundary Conditions and Conservative Noise - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Archive for Rational Mechanics and Analysis Année : 2014

Hydrodynamic Limit for a Hamiltonian system with Boundary Conditions and Conservative Noise

Nadine Even
  • Fonction : Auteur
  • PersonId : 947430

Résumé

We study the hyperbolic scaling limit for a chain of N coupled anharmonic oscillators. The chain is attached to a point on the left and there is a force (tension) $\tau$ acting on the right. In order to provide good ergodic properties to the system, 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 distributions of the elongation, momentum and energy, converge to the solution of the Euler system of equations, in the smooth regime.
Fichier principal
Vignette du fichier
onbc-rev4-2-14s.pdf (264.2 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00876562 , version 1 (24-10-2013)
hal-00876562 , version 2 (12-03-2014)
hal-00876562 , version 3 (28-05-2014)

Identifiants

Citer

Stefano Olla, Nadine Even. Hydrodynamic Limit for a Hamiltonian system with Boundary Conditions and Conservative Noise. Archive for Rational Mechanics and Analysis, 2014, 213, pp.561-585. ⟨10.1007/s00205-014-0741-1⟩. ⟨hal-00876562v3⟩
330 Consultations
1310 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More