Heat flow in nanostructures in the Casimir regime

Humphrey J. Maris and Shin-ichiro Tamura
Phys. Rev. B 85, 054304 – Published 10 February 2012

Abstract

In small structures the phonon mean free path due to phonon-phonon interactions and defect scattering may exceed the sample dimensions. The thermal conductivity then becomes dependent on the size and shape of the sample. In this article we present calculations of the conductivity under these conditions for several different geometries. Numerical results are presented for Si and GaAs.

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  • Received 21 October 2011

DOI:https://doi.org/10.1103/PhysRevB.85.054304

©2012 American Physical Society

Authors & Affiliations

Humphrey J. Maris

  • Department of Physics, Brown University, Providence, Rhode Island 02912, USA

Shin-ichiro Tamura*

  • Hokkaido University, Sapporo 060, Japan

  • *s-tamura@eng.hokudai.ac.jp

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Issue

Vol. 85, Iss. 5 — 1 February 2012

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