Nonequilibrium Stationary States of Harmonic Chains with Bulk Noises: Harmonic Chains with Bulk Noises

Cedric Bernardin 1 Venkateshan Kannan 2 Joel Lebowitz 2 Jani Lukkarinen 3
1 JAD - Laboratoire Jean Alexandre Dieudonné
2 Center for Mathematical Sciences Research
3 Department of Mathematics and Statistics
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.
Mots-clés : Non-equilibrium systems long-range correlations
Type de document :
Article dans une revue
European Physical Journal B: Condensed Matter and Complex Systems, Springer-Verlag, 2011, 84, pp.685-689
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  • HAL Id : ensl-00621060, version 2
  • ARXIV : 1109.1993

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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〉

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