TECHNICAL PAPERS: Microscale Heat Transfer

Monte Carlo Study of Phonon Transport in Solid Thin Films Including Dispersion and Polarization

[+] Author and Article Information
Sandip Mazumder

CFD Research Corporation, 215 Wynn Drive, Huntsville, AL 35805

Arunava Majumdar

6185 Etcheverry Hall, Department of Mechanical Engineering, University of California, Berkeley, CA 94720-1740e-mail: majumdar@me.berkeley.edu

J. Heat Transfer 123(4), 749-759 (Jan 20, 2001) (11 pages) doi:10.1115/1.1377018 History: Received April 24, 2000; Revised January 20, 2001
Copyright © 2001 by ASME
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Pictorial representation of phonon initial position, P, in (a) two-dimensional triangular element, and (b) three-dimensional tetrahedral element
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Coordinate system showing the direction of phonon emission and the associated angles
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Comparison of temperature profile obtained by Monte Carlo solution of the BTE for phonons with analytical results in the ballistic limit
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Comparison of temperature profile obtained by Monte Carlo solution of the BTE for phonons with analytical results in the diffusion limit
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Comparison of temperature profile obtained by Monte Carlo solution of the BTE for phonons with analytical results in the diffusion limit for a two-dimensional geometry: (a) analytical solution, (b) Monte Carlo solution of BTE, and (c) difference in (a) and (b). The left wall was set to 600 K, the top wall to 500 K, the right wall to 400 K, and the bottom wall to 300 K.
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Temperature profiles in a one-dimensional GaAs film for various degrees of specularity (d) of the film boundaries
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Temperature profiles in a GaAs film for various levels of impurity (r)
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Dispersion relation (only acoustic branches shown) of silicon in the (001) direction (adopted from Brockhouse 29)
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Thermal conductivity across a 3 μm pure silicon film: numerical predictions with and without boundary scattering compared to experimental data 28
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Thermal conductivity across a 3 μm boron-doped (1025 atoms/m3) silicon film: numerical predictions compared to experimental data 28. The same plot is plotted on a logarithmic scale and shown in the inset.



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