• français
    • English
  • English 
    • français
    • English
  • Login
JavaScript is disabled for your browser. Some features of this site may not work without it.
BIRD Home

Browse

This CollectionBy Issue DateAuthorsTitlesSubjectsJournals BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesSubjectsJournals

My Account

Login

Statistics

View Usage Statistics

Macroscopic energy diffusion for a chain of anharmonic oscillators

Thumbnail
Date
2013
Link to item file
http://hal.archives-ouvertes.fr/hal-00626266/fr/
Dewey
Sciences connexes (physique, astrophysique)
Sujet
spectral gap; non-gradient models; hydrodynamic limit; thermal conductivity; heat diffusion
Journal issue
Probability Theory and Related Fields
Volume
157
Number
3-4
Publication date
2013
Article pages
721-775
Publisher
Springer
DOI
http://dx.doi.org/10.1007/s00440-012-0469-5
URI
https://basepub.dauphine.fr/handle/123456789/7008
Collections
  • CEREMADE : Publications
Metadata
Show full item record
Author
Sasada, Makiko
Olla, Stefano
Type
Article accepté pour publication ou publié
Abstract (EN)
We study the energy diffusion in a chain of anharmonic oscillators where the Hamiltonian dynamics is perturbed by a local energy conserving noise. We prove that under diffusive rescaling of space-time, energy fluctuations diffuse and evolve following an infinite dimensional linear stochastic differential equation driven by the linearized heat equation. We also give variational expressions for the thermal diffusivity and some upper and lower bounds.

  • Accueil Bibliothèque
  • Site de l'Université Paris-Dauphine
  • Contact
SCD Paris Dauphine - Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16

 Content on this site is licensed under a Creative Commons 2.0 France (CC BY-NC-ND 2.0) license.