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Quasi-Static Energy Transport between Nanoparticles

Published online by Cambridge University Press:  16 June 2015

George Y. Panasyuk
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 energy transfer between non-equal nanoparticles mediated by a quantum system. The nanoparticles are considered as thermal reservoirs described as ensembles of finite numbers of harmonic oscillators within the Drude-Ullersma model having mode spacings Δ1 and Δ2. Our approach is based on the generalized quantum Langevin equation. The quasi-static energy transport between the thermal reservoirs is investigated. As is shown, the double degeneracy of the mode frequencies, which occurred in the previously considered case when Δ1 = Δ2, is removed in the present case of non-equal mode spacings. Equations describing long-time (t ∼1/Δ1,2) relaxation for the mode temperatures (or the ensemble averaged mode energies) are solved and the resulting expression for the total energy current between the nanoparticles is derived and explored.

Type
Articles
Copyright
Copyright © Materials Research Society 2015 

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References

REFERENCES

Hache, F., Ricard, D., and Flytzanis, C., J. Opt. Soc. Am. B 3, 1647 (1986).CrossRefGoogle Scholar
Rautian, S. G., Sov. Phys. JETP 85, 451 (1997).CrossRefGoogle Scholar
Panasyuk, G. Y., Schotland, J. C., and Markel, V. A., Phys. Rev. Lett. 100, 047402 (2008).CrossRefGoogle Scholar
Sopu, D., Kotakoski, J., and Albe, K., Phys. Rev. B 83, 245416 (2011).CrossRefGoogle Scholar
Pohl, J., Stahl, C., and Albe Beilstein, K., J. Nanotechnol. 3, 1 (2012).Google Scholar
Cuansing, E. C., Li, H., and Wang, J. S., Phys. Rev. E 86, 031132 (2012).CrossRefGoogle Scholar
Panasyuk, G. Y. and Yerkes, K. L., Phys. Rev. E 87, 062118 (2013).CrossRefGoogle Scholar
Panasyuk, G. Y., Haugan, T. J., and Yerkes, K. L., Mater. Res. Soc. Symp. Proc. 1704 © 2014 Materials Research Society DOI: 10.1557/opl.2014.808.CrossRefGoogle Scholar
Nieuwenhuizen, Th. M. and Allahverdian, A. E., Phys. Rev. E 66, 036102 (2002).CrossRefGoogle Scholar