Quasiballistic heat transfer studied using the frequency-dependent Boltzmann transport equation
Name
Minnich-2011-Quasiballistic heat transfer studied using the.pdf
Size
529.87 KB
Format
Adobe PDF
Checksum (MD5)
a907f95f74fa8ad9427f56e74cc18ff8
Author(s)
Chen, Gang
Minnich, Austin Jerome
Mansoor, S.
Yilbas, B. S.
Date Issued
December 2011
Journal
Physical Review B
Publisher
American Physical Society (APS)
Citation
Minnich, A. et al. “Quasiballistic Heat Transfer Studied Using the Frequency-dependent Boltzmann Transport Equation.” Physical Review B 84.23 (2011): n. pag. Web. 2 Mar. 2012. © 2011 American Physical Society
Version
Final published version
Abstract
Quasiballistic heat transfer occurs when there is a temperature gradient over length scales comparable to phonon mean free paths (MFPs). This regime has been of interest recently because observation of quasiballistic transport can lead to useful information about phonon MFPs, knowledge of which is essential for engineering nanoscale thermal effects. Here, we use the Boltzmann transport equation (BTE) to understand how observations of quasiballistic transport can yield information about MFPs. We solve the transient, one-dimensional, frequency-dependent BTE for a double-layer structure of a metal film on a substrate, the same geometry that is used in transient thermoreflectance experiments, using a frequency-dependent interface condition. Our results indicate that phonons with MFPs longer than the thermal penetration depth do not contribute to the measured thermal conductivity, providing a means to probe the MFP distribution. We discuss discrepancies between our simulation and experimental observations which offer opportunities for future investigation.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevB.84.235207
