Abstract
A calculation of the heat transfer rate between phonons and quasiparticles in solutions of3He in4He is described. The phonon-quasiparticle interaction of Baym and Ebner is used, and two processes contributing to the heat transfer are considered. One process is phonon absorption and emission with the excess momentum distributed among the quasiparticles by quasiparticle-quasiparticle interactions. The other is quasielastic scattering of the phonons by quasiparticles. Numerical results are presented for 0.1% and 0.5% solutions. The calculated heat transfer rate for the 0.1% solution is in agreement with the one reported experiment atT≃40 mK, but is too small at higher temperatures (50≲T≲60 mK).
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McMullen, T. Theory of heat transfer between phonons and quasiparticles in dilute solutions of3He in4He. J Low Temp Phys 51, 33–54 (1983). https://doi.org/10.1007/BF00683412
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DOI: https://doi.org/10.1007/BF00683412