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The transition from first sound to zero sound in a normal Fermi liquid

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Abstract

The properties of sound in a Fermi liquid are discussed for the case when the frequency of the wave is comparable with the collision frequency. We show that if the zero-sound velocity is very much greater than the Fermi velocity, as it is in liquid3He, the kinetic equation is of the same form as for the frequency-dependent conductivity of a normal Fermi liquid. By employing upper and lower bounds for the frequency-dependent conductivity obtained by Ah-Sam, Højgaard Jensen, and Smith, we obtain bounds on the velocity and attenuation of sound. Other bounds, which are in many cases better than these, have also been found and employed. Both the velocity and attenuation are reduced compared with what one would expect on the basis of a simple interpolation formula consistent with the exact results for the zero-sound and first-sound regimes. For liquid3He the reductions in the attenuation are expected to be of the order of about3%.

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Authors and Affiliations

  1. Nordita, Copenhagen, Denmark

    E. Egilsson & C. J. Pethick

  2. Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois

    C. J. Pethick

Authors
  1. E. Egilsson
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  2. C. J. Pethick
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Research supported in part by NSF grant DMR 76-24011.

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Egilsson, E., Pethick, C.J. The transition from first sound to zero sound in a normal Fermi liquid. J Low Temp Phys 29, 99–118 (1977). https://doi.org/10.1007/BF00659091

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  • DOI: https://doi.org/10.1007/BF00659091

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