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Size Effects in Quasi-Static Energy Transport for Microscopic Quantum Systems

Published online by Cambridge University Press:  19 August 2014

George Y. Panasyuk ,
Timothy J. Haugan  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.
Timothy J. Haugan
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 consider finite size effects on energy transfer between nanoparticles mediated by quantum systems. The nanoparticles are considered as heat reservoirs with a finite number of modes. An expression for the quasi-static energy transport between the heat reservoirs having a finite mode frequency spacing Δ is derived. The resulting equations describing long-term (t ≥1/Δ) relaxation for the mode temperatures and the average temperatures of the nanoparticles are solved. The solutions depend on small number of measurable parameters and show unusual peculiarities in their temporal variations. As is shown, Fourier’s law in a chain of identical subsystems (nanoparticles) can be validated only on a short time scale. For a larger times, when t ∼ 1/Δ, the temperatures of different modes deviate from each other, thus preventing thermal equilibrium in each subsystem, and the validity of Fourier’s law cannot be established.

Keywords

thermal conductivitysimulationmicrostructure
Type
Articles
Information
MRS Online Proceedings Library (OPL) , Volume 1704: Symposium QQ – Computationally Enabled Discoveries in Synthesis, Structure and Properties of Nanoscale Materials , 2014 , mrss14-1704-qq09-05
Copyright
Copyright © Materials Research Society 2014 

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References

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