Energy repartition for a harmonic chain with local reservoirs

Gianmaria Falasco, Marco Baiesi, Leo Molinaro, Livia Conti, and Fulvio Baldovin

Phys. Rev. E 92, 022129 – Published 19 August 2015

Abstract

We exactly analyze the vibrational properties of a chain of harmonic oscillators in contact with local Langevin heat baths. Nonequilibrium steady-state fluctuations are found to be described by a set of mode temperatures, independent of the strengths of both the harmonic interaction and the viscous damping. Energy is equally distributed between the conjugate variables of a given mode but differently among different modes, in a manner which depends exclusively on the bath temperatures and on the boundary conditions. We outline how bath-temperature profiles can be designed to enhance or reduce fluctuations at specific frequencies in the power spectrum of the chain length.

Received 19 May 2015

DOI:https://doi.org/10.1103/PhysRevE.92.022129

Authors & Affiliations

Gianmaria Falasco^1,*, Marco Baiesi^2,3, Leo Molinaro², Livia Conti³, and Fulvio Baldovin^2,3,4,†

¹Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, D-04009 Leipzig, Germany
²Department of Physics and Astronomy, University of Padova, Via Marzolo 8, I-35131 Padova, Italy
³INFN, Sezione di Padova, Via Marzolo 8, I-35131 Padova, Italy
⁴Sezione CNISM Università di Padova, Via Marzolo 8, I-35131 Padova, Italy

^*falasco@itp.uni-leipzig.de
^†baldovin@pd.infn.it

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Issue

Vol. 92, Iss. 2 — August 2015

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