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Heat Transport between Heat Reservoirs Mediated by Quantum Systems

Published online by Cambridge University Press:  29 May 2013

George Y. Panasyuk ,
George A. Levin  and
Kirk L. Yerkes
George Y. Panasyuk
Affiliation:
Aerospace System Directorate, Air Force Research Laboratory, Wright-Patterson Air Force Base, Ohio 45433, U.S.A.
George A. Levin
Affiliation:
Aerospace System Directorate, Air Force Research Laboratory, Wright-Patterson Air Force Base, Ohio 45433, U.S.A.
Kirk L. Yerkes
Affiliation:
Aerospace System Directorate, Air Force Research Laboratory, Wright-Patterson Air Force Base, Ohio 45433, U.S.A.
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Abstract

We explore a model of heat transport between two heat reservoirs mediated by a quantum particle. The reservoirs are modeled as ensembles of harmonic modes linearly coupled to the mediator. The steady state heat current, as well as the thermal conductance are obtained for arbitrary coupling strength and will be analyzed for the cases of weak and strong coupling regimes. It is shown that the violation of the virial theorem – the imbalance between the average potential and kinetic energy of the mediator – can be considered as a measure of the coupling strength that takes into account all the relevant factors. The dependence of the thermal conductance on the coupling strength is non-monotonic and displays a maximum. Temperature dependence of the heat conductance may reach a plateau at intermediate temperatures, similar to the classical plateau at high temperatures. We will discuss the origin of Fourier’s law in a chain of macroscopically large, but finite subsystems coupled by the quantum mediators. We will also address the origin of the anomalously large heat current between the scanning tunneling microscope tip and the substrate in deep vacuum which was found in recent experiments.

Keywords

thermal conductivitysimulationnanostructure
Type
Articles
Information
MRS Online Proceedings Library (OPL) , Volume 1543: Symposium V – Nanoscale Thermoelectric Materials, Transport Phenomena, and Applications to Solid-State Cooling and Power Generation , 2013 , pp. 43 - 48
Copyright
Copyright © Materials Research Society 2013 

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References

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