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TECHNICAL PAPERS: Micro/Nanoscale Heat Transfer

Role of Phonon Dispersion in Lattice Thermal Conductivity Modeling

[+] Author and Article Information
J. D. Chung

Department of Mechanical Engineering, Sejong University, Seoul, 143-147, Korea

A. J. H. McGaughey, M. Kaviany

Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109-2125e-mail: kaviany@umich.edu

J. Heat Transfer 126(3), 376-380 (Jun 16, 2004) (5 pages) doi:10.1115/1.1723469 History: Received June 13, 2003; Revised January 09, 2004; Online June 16, 2004
Copyright © 2004 by ASME
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References

Figures

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Germanium phonon dispersion in the [100] direction. Experimental data 8 and five models used in this study for (a) LA phonons and (b) TA phonons.
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vg/vp2 for the five dispersion models plotted as a function of normalized wave number for (a) LA phonons and (b) TA phonons.
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Effect of refining the treatment of the dispersion on the prediction of the thermal conductivity of germanium. (a) Based on the original Holland fitting parameters, and (b) predictions refit to the experimental data.
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(a) Three phonon relaxation times for refit data from Fig. 3(b) at T=80 K. (b) Cumulative frequency dependence of the thermal conductivity for refit data from Fig. 3(b) at T=80 K. The thermal conductivity is plotted as a percentage of the total value for each case. The curves show three distinct regions. The transition between the first and second regions takes place at ω1, where the form of the TA relaxation time changes. The transition between the second and third regions occurs at ωmT, after which there is no contribution from TA phonons [see Eq. (1)].
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Contributions of LA and TA phonon branches to the thermal conductivity based on (a) Holland dispersion model, and (b) BZBC dispersion model.

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