Published December 1, 2014
| Published
Journal Article
Open
Analytical Green's function of the multidimensional frequency-dependent phonon Boltzmann equation
- Creators
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Hua, Chengyun
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Minnich, Austin J.
Abstract
Thermal phonon transport at length scales comparable to mean free paths is governed by the Boltzmann equation, which is challenging to solve due to its high dimensionality. Here, we present an analytical Green's function for the frequency-dependent, multidimensional Boltzmann equation under the relaxation-time approximation. The new analytical solution is valid from diffusive to ballistic transport regimes and rigorously includes frequency dependence of phonon properties. We demonstrate that our result enables simple closed-form solutions for a number of multidimensional problems for which the only prior solution methods have been computationally expensive numerical simulations.
Additional Information
© 2014 American Physical Society. Received 19 August 2014; revised manuscript received 20 November 2014; published 31 December 2014. This work was sponsored in part by Robert Bosch, LLC, through Bosch Energy Research Network Grant No. 13.01.CC11, by the National Science Foundation under Grant No. CBET CAREER 1254213, and by Boeing under the Boeing-Caltech Strategic Research and Development Relationship Agreement.Attached Files
Published - PhysRevB.90.214306.pdf
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PhysRevB.90.214306.pdf
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Additional details
- Eprint ID
- 55948
- Resolver ID
- CaltechAUTHORS:20150320-133005322
- Bosch Energy Research Network
- 13.01.CC11
- NSF CAREER
- CBET 1254213
- Boeing-Caltech Strategic Research and Development Relationship Agreement
- Created
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2015-03-20Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field