Theory of the Phonon Contribution to the Attenuation of Second Sound in 3He–4He Mixtures

G. McHale, M. A. Jones, R. M. Bowley

Research output: Contribution to journalArticle

Abstract

We have extended Saam's theory of the attenuation of second sound in 3He-4He mixtures to finite frequencies and have included both phonon-phonon interactions and phonon-roton interactions. The theory accounts qualitatively both for the peak in the attenuation of second sound around 0.5K found by Greywall and for the frequency dependence of the attenuation. We obtain a good quantitative fit to the data of Greywall taken at 20 bar when we include the five phonon process. For the data at 0 bar the agreement is good up to 0.3K; above this temperature the agreement is considerably poorer. We ascribe this discrepancy to the three phonon process which is an allowed process at zero bar.

Original languageEnglish
Pages (from-to)19-20
Number of pages2
JournalJapanese Journal of Applied Physics
Volume26
Issue numberS3-1
DOIs
Publication statusPublished - Aug 1987

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