@article{bd7685e5f7b64939871c74e0728c7d24,
title = "Semi-analytical solution to the frequency-dependent Boltzmann transport equation for cross-plane heat conduction in thin films",
abstract = "Cross-plane heat transport in thin films with thicknesses comparable to the phonon mean free paths is of both fundamental and practical interest for applications such as light-emitting diodes and quantum well lasers. However, physical insight is difficult to obtain for the cross-plane geometry due to the challenge of solving the Boltzmann equation in a finite domain. Here, we present a semi-analytical series expansion method to solve the transient, frequency-dependent Boltzmann transport equation that is valid from the diffusive to ballistic transport regimes and rigorously includes the frequency-dependence of phonon properties. Further, our method is more than three orders of magnitude faster than prior numerical methods and provides a simple analytical expression for the thermal conductivity as a function of film thickness. Our result enables a straightforward physical understanding of cross-plane heat conduction in thin films.",
author = "Chengyun Hua and Minnich, {Austin J.}",
note = "Publisher Copyright: {\textcopyright} 2015 AIP Publishing LLC.",
year = "2015",
month = may,
day = "7",
doi = "10.1063/1.4919432",
language = "English",
volume = "117",
journal = "Journal of Applied Physics",
issn = "0021-8979",
publisher = "American Institute of Physics",
number = "17",
}