https://doi.org/10.1140/epjb/e2011-20746-0
Regular Article
Nonequilibrium stationary states of harmonic chains with bulk noises
1
Universitéde Lyon and CNRS, UMPA, UMR-CNRS 5669,
ENS-Lyon, 46, allée d’Italie,
69364
Lyon Cedex 07,
France
2
Department of Mathematics and Physics, Rutgers
University, Piscataway, NJ,
USA
3
Department of Mathematics and Statistics, University of
Helsinki, P.O. Box
68, 00014
Helsingin Yliopisto,
Finland
a e-mail: cedric.bernardin@ens-lyon.fr
Received:
8
September
2011
Published online:
21
November
2011
We consider a chain composed of N coupled harmonic oscillators in contact with heat baths at temperature Tℓ and Tr at sites 1 and N respectively. The oscillators are also subjected to non-momentum conserving bulk stochastic noises. These make the heat conductivity satisfy Fourier’s law. Here we describe some new results about the hydrodynamical equations for typical macroscopic energy and displacement profiles, as well as their fluctuations and large deviations, in two simple models of this type.
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2011
