Size Effect on the Thermal Conductivity of High-Tc Thin-Film Superconductors

[+] Author and Article Information
M. I. Flik

Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139

C. L. Tien

Department of Mechanical Engineering, University of California, Berkeley, CA 94720

J. Heat Transfer 112(4), 872-881 (Nov 01, 1990) (10 pages) doi:10.1115/1.2910494 History: Received June 05, 1989; Revised February 12, 1990; Online May 23, 2008


Using the kinetic theory approximation and reported data, this study shows that at low temperatures, the phonon mean free path in polycrystalline ceramic YBa2 Cu3 O7 can be of the order of the thickness of thin-film superconductors. In this case, boundary scattering reduces the thermal conductivity with decreasing film thickness. A simple method accounts for the size effect on conduction in thin films. This analysis rests solely on geometric arguments and does not consider the effect of grain boundaries. For conduction along the film, this model approximates well an analytical solution of the Boltzmann transport equation, and is in good agreement with experimental data for thin lead films. The model is also employed to analyze the size effect on conduction across the film and the influence of anisotropy.

Copyright © 1990 by The American Society of Mechanical Engineers
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