Abstract : We consider a chain composed of $N$ coupled harmonic oscillators in contact with heat baths at temperature $T_\ell$ and $T_r$ 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.
https://hal-ens-lyon.archives-ouvertes.fr/ensl-00621060
Contributor : Cedric Bernardin
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Submitted on : Wednesday, October 26, 2011 - 8:52:06 AM
Last modification on : Thursday, May 3, 2018 - 1:32:58 PM
Document(s) archivé(s) le : Friday, January 27, 2012 - 2:24:45 AM
Cedric Bernardin, Venkateshan Kannan, Joel Lebowitz, Jani Lukkarinen. Nonequilibrium Stationary States of Harmonic Chains with Bulk Noises: Harmonic Chains with Bulk Noises. European Physical Journal B: Condensed Matter and Complex Systems, Springer-Verlag, 2011, 84, pp.685-689. ⟨ensl-00621060v2⟩
