Radial Quasiballistic Transport in Time-Domain Thermoreflectance Studied Using Monte Carlo Simulations
- Creators
- Ding, D.
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Minnich, A. J.
Abstract
Recently, a pump beam size dependence of thermal conductivity was observed in Si at cryogenic temperatures using time-domain thermal reflectance (TDTR). These observations were attributed to quasiballistic phonon transport, but the interpretation of the measurements has been semi-empirical. Here, we present a numerical study of the heat conduction that occurs in the full 3D geometry of a TDTR experiment, including an interface, using the Boltzmann transport equation. We identify the radial suppression function that describes the suppression in heat flux, compared to Fourier's law, that occurs due to quasiballistic transport and demonstrate good agreement with experimental data. We also discuss unresolved discrepancies that are important topics for future study.
Additional Information
© 2014 AIP Publishing LLC. Received 30 January 2014; accepted 26 March 2014; published online 8 April 2014. The authors thank R. B. Wilson and David G. Cahill for useful discussions. 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 CAREER Grant No. CBET 1254213, and by Boeing under the Boeing-Caltech Strategic Research and Development Relationship Agreement. D. Ding gratefully acknowledges the support by the Agency for Science, Technology and Research (Singapore).Attached Files
Published - 1.4870811.pdf
Submitted - 1402.1114v1.pdf
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Additional details
- Eprint ID
- 43866
- Resolver ID
- CaltechAUTHORS:20140219-084813829
- Robert Bosch LLC Bosch Energy Research Network
- 13.01.CC11
- NSF
- CBET 1254213
- Boeing-Caltech Strategic Research & Development Relationship Agreement
- Agency for Science, Technology and Research (Singapore)
- Created
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2014-02-19Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field