Numerical simulations of time-dependent thermal energy transport in semiconductor thin films are performed using the Lattice Boltzmann Method applied to phonon transport. The discrete Lattice Boltzmann Method is derived from the continuous Boltzmann transport equation assuming nonlinear, frequency-dependent phonon dispersion for acoustic and optical phonons. Results indicate that the heat conduction in silicon thin films displays a transition from diffusive to ballistic energy transport as the characteristic length of the system becomes comparable to the phonon mean free path, and that the thermal energy transport process is characterized by the propagation of multiple, superimposed phonon waves. The methodology is used to characterize the time-dependent temperature profiles inside films of decreasing thickness. Thickness-dependent thermal conductivity values are computed based on steady-state temperature distributions obtained from the numerical models. It is found that reducing feature size into the subcontinuum regime decreases the thermal conductivity when compared to bulk values, at a higher rate than what was displayed by the Debye-based gray Lattice Boltzmann Method.
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ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference collocated with the ASME 2007 InterPACK Conference
July 8–12, 2007
Vancouver, British Columbia, Canada
Conference Sponsors:
- Heat Transfer Division
ISBN:
0-7918-4276-2
PROCEEDINGS PAPER
Thin Film Phonon Heat Conduction by the Dispersion Lattice Boltzmann Method Available to Purchase
Rodrigo A. Escobar,
Rodrigo A. Escobar
Pontificia Universidad Cato´lica de Chile, Santiago, Chile
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Cristina H. Amon,
Cristina H. Amon
University of Toronto, Toronto, ON, Canada
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Amador M. Guzma´n
Amador M. Guzma´n
Universidad de Santiago de Chile, Santiago, Chile
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Rodrigo A. Escobar
Pontificia Universidad Cato´lica de Chile, Santiago, Chile
Cristina H. Amon
University of Toronto, Toronto, ON, Canada
Amador M. Guzma´n
Universidad de Santiago de Chile, Santiago, Chile
Paper No:
HT2007-32130, pp. 257-266; 10 pages
Published Online:
August 24, 2009
Citation
Escobar, RA, Amon, CH, & Guzma´n, AM. "Thin Film Phonon Heat Conduction by the Dispersion Lattice Boltzmann Method." Proceedings of the ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference collocated with the ASME 2007 InterPACK Conference. ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference, Volume 3. Vancouver, British Columbia, Canada. July 8–12, 2007. pp. 257-266. ASME. https://doi.org/10.1115/HT2007-32130
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