Published 2011 | Version v1
Journal article Metadata-only

Nonequilibrium Stationary States of Harmonic Chains with Bulk Noises

Bernardin, Cedric
Kannan, Venkateshan
Lebowitz, Joel
Lukkarinen, Jani
Others:
Laboratoire Jean Alexandre Dieudonné (JAD) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)
Center for Mathematical Sciences Research ; Rutgers, The State University of New Jersey [New Brunswick] (RU) ; Rutgers University System (Rutgers)-Rutgers University System (Rutgers)
Department of Mathematics and Statistics

Description

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.

Additional details

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Created:
December 3, 2022
Modified:
November 30, 2023