Phonon heat conduction in layered anisotropic crystals
- Creators
-
Minnich, A. J.
Abstract
The thermal properties of anisotropic crystals are of both fundamental and practical interest, but transport phenomena in anisotropic materials such as graphite remain poorly understood because solutions of the Boltzmann equation often assume isotropy. Here, we extend an analytic solution of the transient, frequency-dependent Boltzmann equation to highly anisotropic solids and examine its predictions for graphite. We show that this simple model predicts key results, such as long c -axis phonon mean free paths and a negative correlation of cross-plane thermal conductivity with in-plane group velocity, that were previously observed with computationally expensive molecular-dynamics simulations. Further, using our analytic solution, we demonstrate a method to reconstruct the anisotropic mean free path spectrum of crystals with arbitrary dispersion relations without any prior knowledge of their harmonic or anharmonic properties using observations of quasiballistic heat conduction. These results provide a useful analytic framework to understand thermal transport in anisotropic crystals.
Additional Information
© 2015 American Physical Society. Received 17 September 2014; revised manuscript received 9 December 2014; published 17 February 2015. The author thanks Chengyun Hua and Ding Ding for performing several integrals. 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 & Development Relationship Agreement.Attached Files
Published - PhysRevB.91.085206.pdf
Submitted - 1409.5364v1.pdf
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Additional details
- Eprint ID
- 50205
- Resolver ID
- CaltechAUTHORS:20141006-102957226
- Robert Bosch LLC Bosch Energy Research Network
- 13.01.CC11
- NSF
- CBET 1254213
- Boeing-Caltech Strategic Research & Development Relationship Agreement
- Created
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2014-10-09Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field