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Phonon-Quasiparticle Interactions in Dilute Solutions of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>in Superfluid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>. II. Phonon Boltzmann Equation and First Viscosity

Gordon BaymDepartment of Physics, University of Illinois, Urbana, Illinois 61801W. F. SaamDepartment of Physics, University of Illinois, Urbana, Illinois 61801
1968lv
ABI

Abstract

We construct the phonon Boltzmann equation taking into account previously calculated phonon-${\mathrm{He}}^{3}$ scattering and absorption processes; when phonon-phonon interactions can be neglected this equation is exactly soluble. The first viscosity of solutions containing 1.3 and 5% molar concentrations of ${\mathrm{He}}^{3}$ is calculated from this equation for $T\ensuremath{\lesssim}0.6$\ifmmode^\circ\else\textdegree\fi{}K.

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