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Nonequilibrium stationary states of harmonic chains with bulk noises

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  • Statistical and Nonlinear Physics
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Abstract

We consider a chain composed of N coupled harmonic oscillators in contact with heat baths at temperature T ℓ 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.

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Authors and Affiliations

  1. Université de Lyon and CNRS, UMPA, UMR-CNRS 5669, ENS-Lyon, 46, allée d’Italie, 69364, Lyon Cedex 07, France

    C. Bernardin

  2. Department of Mathematics and Physics, Rutgers University, Piscataway, NJ, USA

    V. Kannan & J. L. Lebowitz

  3. Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, 00014, Helsingin Yliopisto, Finland

    J. Lukkarinen

Authors
  1. C. Bernardin
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  2. V. Kannan
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  3. J. L. Lebowitz
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  4. J. Lukkarinen
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Correspondence to C. Bernardin.

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Bernardin, C., Kannan, V., Lebowitz, J.L. et al. Nonequilibrium stationary states of harmonic chains with bulk noises. Eur. Phys. J. B 84, 685–689 (2011). https://doi.org/10.1140/epjb/e2011-20746-0

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  • DOI: https://doi.org/10.1140/epjb/e2011-20746-0

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