Monte Carlo study of non-diffusive relaxation of a transient thermal grating in thin membranes
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Author(s) • • • • • • •
Zeng, Lingping
Chiloyan, Vazrik
Peraud, Jean-Philippe M.
Chen, Gang
Huberman, Samuel C.
Maznev, Alexei
Hadjiconstantinou, Nicolas
Nelson, Keith Adam
Date Issued
February 2016
Journal
Applied Physics Letters
Publisher
American Institute of Physics (AIP)
Citation
Zeng, Lingping, Vazrik Chiloyan, Samuel Huberman, Alex A. Maznev, Jean-Philippe M. Peraud, Nicolas G. Hadjiconstantinou, Keith A. Nelson, and Gang Chen. “Monte Carlo Study of Non-Diffusive Relaxation of a Transient Thermal Grating in Thin Membranes.” Applied Physics Letters 108, no. 6 (February 8, 2016): 063107.
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Abstract
The impact of boundary scattering on non-diffusive thermal relaxation of a transient grating in thin membranes is rigorously analyzed using the multidimensional phononBoltzmann equation. The gray Boltzmann simulation results indicate that approximating models derived from previously reported one-dimensional relaxation model and Fuchs-Sondheimer model fail to describe the thermal relaxation of membranes with thickness comparable with phonon mean free path. Effective thermal conductivities from spectral Boltzmann simulations free of any fitting parameters are shown to agree reasonably well with experimental results. These findings are important for improving our fundamental understanding of non-diffusive thermal transport in membranes and other nanostructures.
MIT Department
Massachusetts Institute of Technology. Department of Chemistry
Massachusetts Institute of Technology. Department of Mechanical Engineering
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DOI of Published Version
https://doi.org/10.1063/1.4941766