Extending the range of validity of Fourier's law into the kinetic transport regime via asymptotic solution of the phonon Boltzmann transport equation

We derive the continuum equations and boundary conditions governing phonon-mediated heat transfer in the limit of a small but finite mean-free path from the asymptotic solution of the linearized Boltzmann equation in the relaxation time approximation. Our approach uses the ratio of the mean-free pat...

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Bibliographic Details
Main Authors: Peraud, Jean-Philippe M., Hadjiconstantinou, Nicolas
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Language:English
Published: American Physical Society 2016
Online Access:http://hdl.handle.net/1721.1/101024
https://orcid.org/0000-0001-9070-6231
https://orcid.org/0000-0002-1670-2264