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Equilibrium fluctuations for a system of harmonic oscillators with conservative noise

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Date
2006
Dewey
Analyse
Sujet
Harmonic chain; two-component models; equilibrium fluctuations; non-gradient methods; generalized Ornstein-Uhlenbeck processes
Journal issue
Journal of Statistical Physics
Volume
122
Number
3
Publication date
2006
Article pages
399-415
Publisher
Springer
DOI
http://dx.doi.org/10.1007/s10955-005-8070-2
URI
https://basepub.dauphine.fr/handle/123456789/6042
Collections
  • CEREMADE : Publications
Metadata
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Author
Fritz, Jozsef
Nagy, Katalin
Olla, Stefano
Type
Article accepté pour publication ou publié
Abstract (EN)
We investigate the harmonic chain forced by a multiplicative noise, the evolution is given by an infinite system of stochastic differential equations. Total energy and deformation are preserved, the conservation of momentum is destroyed by the noise. Gaussian product measures are the extremal stationary states of this model. Equilibrium fluctuations of the conserved fields at a diffusive scaling are described by a couple of generalized Ornstein-Uhlenbeck processes.

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