Quasiballistic heat transfer studied using the frequency-dependent Boltzmann transport equation

Minnich, A. J.; Chen, G.; Mansoor, S.; Yilbas, B. S.

doi:10.1103/PhysRevB.84.235207

Title: Quasiballistic heat transfer studied using the frequency-dependent Boltzmann transport equation

Journal Article · Thu Dec 15 00:00:00 EST 2011 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PhysRevB.84.235207· OSTI ID:1386855

Minnich, A. J. ^[1]; Chen, G. ^[2]; Mansoor, S. ^[3]; Yilbas, B. S. ^[3]

California Inst. of Technology (CalTech), Pasadena, CA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
King Fahd Univ. of Petroleum and Minerals, Dhahran (Saudi Arabia)

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. Finally, 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.

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Research Organization:: Energy Frontier Research Centers (EFRC) (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0001299; FG02-09ER46577

OSTI ID:: 1386855

Alternate ID(s):: OSTI ID: 1098414

Journal Information:: Physical Review. B, Condensed Matter and Materials Physics, Vol. 84, Issue 23; Related Information: S3TEC partners with Massachusetts Institute of Technology (lead); Boston College; Oak Ridge National Laboratory; Rensselaer Polytechnic Institute; ISSN 1098-0121

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 105 works

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