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Thermal Conductivity and Viscosity in Dilute 3He-4He Mixtures Below 0.6 K
Authors:Chung-In Um  Soo-Young Lee  Sahng-Kyoon Yoo  Thomas F George  Lakshmi N Pandey
Affiliation:(1) Department of Physics, College of Science, Korea University, Seoul, 136-701, Korea;(2) The Research Institute of Basic Science, Korea University, Seoul, 136-701, Korea;(3) Department of Physics, Seonam University, Namwon, Chunbuk, 590-170, Korea;(4) Office of the Chancellor/Departments and Chemistry and Physics & Astronomy, University of Wisconsin-Stevens Point, Stevens Point, Wisconsin 54481-3897, USA;(5) Departments of Chemistry and Physics, Washington State University, Pullman, Washington 99164-4630, USA
Abstract:The effects of three-phonon processes on the phonon thermal conductivity and phonon viscosity in dilute 3He-4He mixtures below 0.6 K are investigated. The characteristic scattering times for phonon-phonon interaction-limited thermal conductivity and viscosity are calculated from a collision matrix which contains information on the three-phonon processes. We find that due to phonon-3He interactions the phonon momentum range in which three-phonon processes occur is reduced in comparison with that of the pure 4He case. Results for thermal conductivity and viscosity show good agreement with experimental data without having to adjust the rates of phonon absorption by 3He and the rates of elastic scattering of phonons with 3He.
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