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Title: Reconstruction of the phonon relaxation times using solutions of the Boltzmann transport equation

Abstract

We present a method for reconstructing the phonon relaxation time distribution τω = τ ( ω ) (including polarization) in a material from thermal spectroscopy data. The distinguishing feature of this approach is that it does not make use of the effective thermal conductivity concept and associated approximations. The reconstruction is posed as an optimization problem in which the relaxation times τω = τ (ω) are determined by minimizing the discrepancy between the experimental relaxation traces and solutions of the Boltzmann transport equation for the same problem. The latter may be analytical, in which case the procedure is very efficient, or numerical. The proposed method is illustrated using Monte Carlo solutions of thermal grating relaxation as synthetic experimental data. Lastly, the reconstruction is shown to agree very well with the relaxation times used to generate the synthetic Monte Carlo data and remains robust in the presence of uncertainty (noise).

Authors:
 [1];  [1];  [2]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Mechanical Engineering
  2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (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)
OSTI Identifier:
1388455
Alternate Identifier(s):
OSTI ID: 1329948
Grant/Contract Number:  
SC0001299; FG02-09ER46577
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 94; 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:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Forghani, Mojtaba, Hadjiconstantinou, Nicolas G., and Péraud, Jean-Philippe M.. Reconstruction of the phonon relaxation times using solutions of the Boltzmann transport equation. United States: N. p., 2016. Web. doi:10.1103/PhysRevB.94.155439.
Forghani, Mojtaba, Hadjiconstantinou, Nicolas G., & Péraud, Jean-Philippe M.. Reconstruction of the phonon relaxation times using solutions of the Boltzmann transport equation. United States. https://doi.org/10.1103/PhysRevB.94.155439
Forghani, Mojtaba, Hadjiconstantinou, Nicolas G., and Péraud, Jean-Philippe M.. Mon . "Reconstruction of the phonon relaxation times using solutions of the Boltzmann transport equation". United States. https://doi.org/10.1103/PhysRevB.94.155439. https://www.osti.gov/servlets/purl/1388455.
@article{osti_1388455,
title = {Reconstruction of the phonon relaxation times using solutions of the Boltzmann transport equation},
author = {Forghani, Mojtaba and Hadjiconstantinou, Nicolas G. and Péraud, Jean-Philippe M.},
abstractNote = {We present a method for reconstructing the phonon relaxation time distribution τω = τ ( ω ) (including polarization) in a material from thermal spectroscopy data. The distinguishing feature of this approach is that it does not make use of the effective thermal conductivity concept and associated approximations. The reconstruction is posed as an optimization problem in which the relaxation times τω = τ (ω) are determined by minimizing the discrepancy between the experimental relaxation traces and solutions of the Boltzmann transport equation for the same problem. The latter may be analytical, in which case the procedure is very efficient, or numerical. The proposed method is illustrated using Monte Carlo solutions of thermal grating relaxation as synthetic experimental data. Lastly, the reconstruction is shown to agree very well with the relaxation times used to generate the synthetic Monte Carlo data and remains robust in the presence of uncertainty (noise).},
doi = {10.1103/PhysRevB.94.155439},
journal = {Physical Review B},
number = 15,
volume = 94,
place = {United States},
year = {Mon Oct 24 00:00:00 EDT 2016},
month = {Mon Oct 24 00:00:00 EDT 2016}
}

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Cited by: 7 works
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Works referencing / citing this record:

Phonon relaxation time reconstruction from transient thermal grating experiments and comparison with density functional theory predictions
journal, January 2019

  • Forghani, Mojtaba; Hadjiconstantinou, Nicolas G.
  • Applied Physics Letters, Vol. 114, Issue 2
  • DOI: 10.1063/1.5062846