Second-order diffusion limit for the phonon transport equation: asymptotics and numerics
Author:
Funder
National Science Foundation
Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada
Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s42985-022-00172-5.pdf
Reference20 articles.
1. Péraud, J.-P.M., Hadjiconstantinou, N.G.: Extending the range of validity of Fourier’s law into the kinetic transport regime via asymptotic solution of the phonon Boltzmann transport equation. Phys. Rev. B 93(4), 045424 (2016)
2. Hu, Y., Zeng, L., Minnich, A.J., Dresselhaus, M.S., Chen, G.: Spectral mapping of thermal conductivity through nanoscale ballistic transport. Nat. Nanotechnol. 10(8), 701–706 (2015)
3. Minnich, A.J., Chen, G., Mansoor, S., Yilbas, B.S.: Quasiballistic heat transfer studied using the frequency-dependent Boltzmann transport equation. Phys. Rev. B 84(23), 235207 (2011)
4. Hua, C., Minnich, A.J.: Transport regimes in quasiballistic heat conduction. Phys. Rev. B 89(9), 094302 (2014)
5. Degond, P., Jin, S.: A smooth transition model between kinetic and diffusion equations. SIAM J. Numer. Anal. 42(6), 2671–2687 (2005)
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