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Title: Thermal transport exceeding bulk heat conduction due to nonthermal micro/nanoscale phonon populations

Abstract

While classical size effects usually lead to a reduced effective thermal conductivity, we report here that nonthermal phonon populations produced by a micro/nanoscale heat source can lead to enhanced heat conduction, exceeding the prediction from Fourier's law. We study nondiffusive thermal transport by phonons at small distances within the framework of the Boltzmann transport equation (BTE) and demonstrate that the transport is significantly affected by the distribution of phonons emitted by the source. We discuss analytical solutions of the steady-state BTE for a source with a sinusoidal spatial profile, as well as for a three-dimensional Gaussian “hot spot,” and provide numerical results for single crystal silicon at room temperature. If a micro/nanoscale heat source produces a thermal phonon distribution, it gets hotter than that predicted by the heat diffusion equation; however, if the source predominantly produces low-frequency acoustic phonons with long mean free paths, it may get significantly cooler than that predicted by the heat equation, yielding an enhanced heat transport beyond bulk heat conduction.

Authors:
 [1];  [1];  [2];  [2]; ORCiD logo [1]
+ Show Author Affiliations
  1. Massachusetts Institute of Technology, Cambridge, MA (United States). Department of Mechanical Engineering
  2. Massachusetts Institute of Technology, Cambridge, MA (United States). Department of Chemistry
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1801477
Alternate Identifier(s):
OSTI ID: 1615419
Grant/Contract Number:  
SC0001299; SC0001299/DE-FG02-09ER46577
Resource Type:
Accepted Manuscript
Journal Name:
Applied Physics Letters
Additional Journal Information:
Journal Volume: 116; Journal Issue: 16; Journal ID: ISSN 0003-6951
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; Physics; Thermodynamic states and processes; Nonequilibrium statistical mechanics; Phonons; Thermal transport

Citation Formats

Chiloyan, Vazrik, Huberman, Samuel, Maznev, Alexei A., Nelson, Keith A., and Chen, Gang. Thermal transport exceeding bulk heat conduction due to nonthermal micro/nanoscale phonon populations. United States: N. p., 2020. Web. doi:10.1063/1.5139069.
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Chiloyan, Vazrik, Huberman, Samuel, Maznev, Alexei A., Nelson, Keith A., & Chen, Gang. Thermal transport exceeding bulk heat conduction due to nonthermal micro/nanoscale phonon populations. United States. https://doi.org/10.1063/1.5139069
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Chiloyan, Vazrik, Huberman, Samuel, Maznev, Alexei A., Nelson, Keith A., and Chen, Gang. Mon . "Thermal transport exceeding bulk heat conduction due to nonthermal micro/nanoscale phonon populations". United States. https://doi.org/10.1063/1.5139069. https://www.osti.gov/servlets/purl/1801477.
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@article{osti_1801477,
title = {Thermal transport exceeding bulk heat conduction due to nonthermal micro/nanoscale phonon populations},
author = {Chiloyan, Vazrik and Huberman, Samuel and Maznev, Alexei A. and Nelson, Keith A. and Chen, Gang},
abstractNote = {While classical size effects usually lead to a reduced effective thermal conductivity, we report here that nonthermal phonon populations produced by a micro/nanoscale heat source can lead to enhanced heat conduction, exceeding the prediction from Fourier's law. We study nondiffusive thermal transport by phonons at small distances within the framework of the Boltzmann transport equation (BTE) and demonstrate that the transport is significantly affected by the distribution of phonons emitted by the source. We discuss analytical solutions of the steady-state BTE for a source with a sinusoidal spatial profile, as well as for a three-dimensional Gaussian “hot spot,” and provide numerical results for single crystal silicon at room temperature. If a micro/nanoscale heat source produces a thermal phonon distribution, it gets hotter than that predicted by the heat diffusion equation; however, if the source predominantly produces low-frequency acoustic phonons with long mean free paths, it may get significantly cooler than that predicted by the heat equation, yielding an enhanced heat transport beyond bulk heat conduction.},
doi = {10.1063/1.5139069},
journal = {Applied Physics Letters},
number = 16,
volume = 116,
place = {United States},
year = {Mon Apr 20 00:00:00 EDT 2020},
month = {Mon Apr 20 00:00:00 EDT 2020}
}
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Journal Article:
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https://doi.org/10.1063/1.5139069
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