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Title: Variational approach to extracting the phonon mean free path distribution from the spectral Boltzmann transport equation

Abstract

The phonon Boltzmann transport equation (BTE) is a powerful tool for studying nondiffusive thermal transport. Here, we develop a new universal variational approach to solving the BTE that enables extraction of phonon mean free path (MFP) distributions from experiments exploring nondiffusive transport. By utilizing the known Fourier heat conduction solution as a trial function, we propose a direct approach to calculating the effective thermal conductivity from the BTE. We reveal this technique on the transient thermal grating experiment, which is a useful tool for studying nondiffusive thermal transport and probing the MFP distribution of materials. We obtain a closed form expression for a suppression function that is materials dependent, successfully addressing the nonuniversality of the suppression function used in the past, while providing a general approach to studying thermal properties in the nondiffusive regime.

Authors:
 [1];  [1];  [1];  [1];  [1];  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC) (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1371459
Alternate Identifier(s):
OSTI ID: 1245886
Grant/Contract Number:  
SC0001299; FG02-09ER46577; SC0001299/DE-FG02-09ER46577
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 93; Journal Issue: 15; Related Information: S3TEC partners with Massachusetts Institute of Technology (lead); Boston College; Oak Ridge National Laboratory; Rensselaer Polytechnic Institute; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; solar (photovoltaic); solar (thermal); solid state lighting; phonons; thermal conductivity; thermoelectric; defects; mechanical behavior; charge transport; spin dynamics; materials and chemistry by design; optics, synthesis (novel materials); synthesis (self-assembly); synthesis (scalable processing)

Citation Formats

Chiloyan, Vazrik, Zeng, Lingping, Huberman, Samuel, Maznev, Alexei A., Nelson, Keith A., and Chen, Gang. Variational approach to extracting the phonon mean free path distribution from the spectral Boltzmann transport equation. United States: N. p., 2016. Web. doi:10.1103/PhysRevB.93.155201.
Chiloyan, Vazrik, Zeng, Lingping, Huberman, Samuel, Maznev, Alexei A., Nelson, Keith A., & Chen, Gang. Variational approach to extracting the phonon mean free path distribution from the spectral Boltzmann transport equation. United States. doi:10.1103/PhysRevB.93.155201.
Chiloyan, Vazrik, Zeng, Lingping, Huberman, Samuel, Maznev, Alexei A., Nelson, Keith A., and Chen, Gang. Wed . "Variational approach to extracting the phonon mean free path distribution from the spectral Boltzmann transport equation". United States. doi:10.1103/PhysRevB.93.155201. https://www.osti.gov/servlets/purl/1371459.
@article{osti_1371459,
title = {Variational approach to extracting the phonon mean free path distribution from the spectral Boltzmann transport equation},
author = {Chiloyan, Vazrik and Zeng, Lingping and Huberman, Samuel and Maznev, Alexei A. and Nelson, Keith A. and Chen, Gang},
abstractNote = {The phonon Boltzmann transport equation (BTE) is a powerful tool for studying nondiffusive thermal transport. Here, we develop a new universal variational approach to solving the BTE that enables extraction of phonon mean free path (MFP) distributions from experiments exploring nondiffusive transport. By utilizing the known Fourier heat conduction solution as a trial function, we propose a direct approach to calculating the effective thermal conductivity from the BTE. We reveal this technique on the transient thermal grating experiment, which is a useful tool for studying nondiffusive thermal transport and probing the MFP distribution of materials. We obtain a closed form expression for a suppression function that is materials dependent, successfully addressing the nonuniversality of the suppression function used in the past, while providing a general approach to studying thermal properties in the nondiffusive regime.},
doi = {10.1103/PhysRevB.93.155201},
journal = {Physical Review B},
number = 15,
volume = 93,
place = {United States},
year = {2016},
month = {4}
}

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Cited by: 12 works
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