Heat transport in active harmonic chains

Mei C. Zheng, Fred M. Ellis, Tsampikos Kottos, Ragnar Fleischmann, Theo Geisel, and Tomaž Prosen
Phys. Rev. E 84, 021119 – Published 9 August 2011

Abstract

We show that a harmonic lattice model with amplifying and attenuating elements, when coupled to two thermal baths, exhibits unique heat transport properties. Some of these novel features include anomalous nonequilibrium steady-state heat currents, negative differential thermal conductance, as well as nonreciprocal heat transport. We find that when these elements are arranged in a PT-symmetric manner, the domain of existence of the nonequilibrium steady state is maximized. We propose an electronic experimental setup based on resistive-inductive-capacitive (RLC) transmission lines, where our predictions can be tested.

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  • Received 23 February 2011

DOI:https://doi.org/10.1103/PhysRevE.84.021119

©2011 American Physical Society

Authors & Affiliations

Mei C. Zheng, Fred M. Ellis, and Tsampikos Kottos

  • Department of Physics, Wesleyan University, Middletown, Connecticut 06459, USA

Ragnar Fleischmann and Theo Geisel

  • Max-Planck-Institute for Dynamics and Self-organization, Am Faßberg 17, D-37077 Göttingen, Germany, and Institute for Nonlinear Dynamics, Department of Physics, University of Göttingen, D-37077 Göttingen, Germany

Tomaž Prosen

  • Physics Department, Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia

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Issue

Vol. 84, Iss. 2 — August 2011

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