Equilibrium fluctuations for a system of harmonic oscillators with conservative noise
Fritz, Jozsef; Nagy, Katalin; Olla, Stefano (2006), Equilibrium fluctuations for a system of harmonic oscillators with conservative noise, Journal of Statistical Physics, 122, 3, p. 399-415. http://dx.doi.org/10.1007/s10955-005-8070-2
TypeArticle accepté pour publication ou publié
Journal nameJournal of Statistical Physics
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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.
Subjects / KeywordsHarmonic chain; two-component models; equilibrium fluctuations; non-gradient methods; generalized Ornstein-Uhlenbeck processes
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Komorowski, Tomasz; Olla, Stefano; Ryzhik, Lenya; Spohn, Herbert (2020) Article accepté pour publication ou publié