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Phonon-Quasiparticle Interactions in Dilute Solutions of He3 in Superfluid He4 : III. Attenuation of First Sound Above 0.2°K

Gordon Baym, W. F. Saam, Christoph Ebner

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Abstract

Utilizing a previously developed phonon Boltzmann equation we extend to higher temperatures an earlier calculation of first sound attenuation in dilute solutions of ${\mathrm{He}}^{3}$ in superfluid ${\mathrm{He}}^{4}$. The present calculation takes into account thermal phonon-${\mathrm{He}}^{3}$ scattering and is valid up to about 0.7\ifmmode^\circ\else\textdegree\fi{}K. The results are in good overall agreement with experiment.

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What this paper is about

Utilizing a previously developed phonon Boltzmann equation we extend to higher temperatures an earlier calculation of first sound attenuation in dilute solutions of ${\mathrm{He}}^{3}$ in superfluid ${\mathrm{He}}^{4}$. The present calculation takes into account thermal phonon-${\mathrm{He}}^{3}$ scattering and is valid up to about 0.7\ifmmode^\circ\else\textdegree\fi{}K. The results are in good overall agreement with experiment.

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Available abstract

Utilizing a previously developed phonon Boltzmann equation we extend to higher temperatures an earlier calculation of first sound attenuation in dilute solutions of ${\mathrm{He}}^{3}$ in superfluid ${\mathrm{He}}^{4}$. The present calculation takes into account thermal phonon-${\mathrm{He}}^{3}$ scattering and is valid up to about 0.7\ifmmode^\circ\else\textdegree\fi{}K. The results are in good overall agreement with experiment.

Key concepts: Quasiparticle, Phonon, Physics, Scattering, Superfluidity, Condensed matter physics, Superconductivity, Quantum mechanics

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Phonon-Quasiparticle Interactions in Dilute Solutions of He3 in Superfluid He4 : III. Attenuation of First Sound Above 0.2°K — Research Paper | ScholarLens