Nonequilibrium Stationary States of Harmonic Chains with Bulk Noises

Cedric Bernardin (1) , Venkateshan Kannan (2) , Joel L. Lebowitz (2) , Jani Lukkarinen (3)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées
2 Center for Mathematical Sciences Research
3 Department of Mathematics and Statistics

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.

Mots clés: Non-equilibrium systems; long-range correlations

Domaines: Mécanique statistique [cond-mat.stat-mech]; Probabilités [math.PR]

Cedric Bernardin, Venkateshan Kannan, Joel L. Lebowitz, Jani Lukkarinen. Nonequilibrium Stationary States of Harmonic Chains with Bulk Noises: Harmonic Chains with Bulk Noises. 2011. ⟨ensl-00621060v1⟩