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

Forghani, Mojtaba; Hadjiconstantinou, Nicolas G.; Péraud, Jean-Philippe M.

doi:10.1103/PhysRevB.94.155439

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

Journal Article · Mon Oct 24 00:00:00 EDT 2016 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.94.155439· OSTI ID:1388455

Forghani, Mojtaba ^[1]; Hadjiconstantinou, Nicolas G. ^[1]; Péraud, Jean-Philippe M. ^[2]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Mechanical Engineering
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

We present a method for reconstructing the phonon relaxation time distribution τ_ω = 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 τ_ω = 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).

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Research Organization:: 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 Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0001299; FG02-09ER46577

OSTI ID:: 1388455

Alternate ID(s):: OSTI ID: 1329948

Journal Information:: Physical Review B, Vol. 94, Issue 15; Related Information: S3TEC partners with Massachusetts Institute of Technology (lead); Boston College; Oak Ridge National Laboratory; Rensselaer Polytechnic Institute; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 7 works

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