Cahiers du CEREMADE

Unité Mixte de Recherche du C.N.R.S. N°7534
Abstract : We investigate the harmonic chain forced by an additive 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 felds at a diffusive scaling are described by a couple of generalized Ornstein-Uhlenbeck processes.
Equilibrium fluctuations for a system of harmonic oscillators with conservative noise
FRITZ Jòzsef, NAGY Katalin, OLLA Stéfano
Université de PARIS - DAUPHINE
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