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Shear viscosity of the B phase of superfluid 3He. II. s-p-d-wave approximation

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Abstract

The shear viscosity η(T) of superfluid 3He-B is studied throughout the temperature region 0⩽t⩽1 (t=T/T c). The Boltzmann equation for Bogoliubov-Valatin quasiparticles is solved by a variational method. In the calculation of the collision integral, the scattering amplitude is estimated in the s-p-d-wave approximation by taking into account the spin-dependent part as well as the spin-independent part. The reduced shear viscosity % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-qqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xHapdbiqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaacaaeaacq% aH3oaAaiaawoWaaiabg2da9iabeE7aOHqaciaa-HcaieaacaGFubGa% a8xkaGGaciab99caViabeE7aOjaa-HcacaGFubWaaSbaaKqaGgaaca% WFJbaaleqaaOGaa8xkaaaa!440E!\[\widetilde\eta = \eta (T)/\eta (T_c )\] in this approximation is smaller than those in the s-wave and s-p-wave approximations at all temperatures. The numerical result for \~η in the s-p-d- wave approximation is in good agreement with the recent experimental data of Parpia et al. and of Alvesalo et al. in the temperature range 0.5.⩽t⩽1.0.

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Author information

Author notes

  1. Yoshimasa A. Ono

    Present address: Department of Physics, Case Western Reserve University, Cleveland, Ohio

  2. Katsuhiko Nagai

    Present address: Department of Physics, Yamaguchi University, Yamaguchi, Japan

Authors and Affiliations

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

    Jun'ichiro Hara & Yoshimasa A. Ono

  2. Max-Plank-Institut für Physik und Astrophysik, Munich, West Germany

    Katsuhiko Nagai

  3. Department of Material Science, Hiroshima University, Hiroshima, Japan

    Kiyoshi Kawamura

Authors
  1. Jun'ichiro Hara
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  2. Yoshimasa A. Ono
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  3. Katsuhiko Nagai
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  4. Kiyoshi Kawamura
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Additional information

Supported in part by the Nishina Memorial Foundation and in part by the NSF under Grant No. DMR-76-24011.

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Hara, J., Ono, Y.A., Nagai, K. et al. Shear viscosity of the B phase of superfluid 3He. II. s-p-d-wave approximation. J Low Temp Phys 39, 603–621 (1980). https://doi.org/10.1007/BF00114897

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  • DOI: https://doi.org/10.1007/BF00114897

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