Skip to main content
Log in

Effective viscosity of3He-B at low temperatures

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

The effective shear viscosity of Poiseuille flow of superfluid3He-B between parallel plates is calculated as a function of temperature at different pressures. Roughness of the surface is adjusted for best fit with experiment, and Andreev scattering is included as evaluated for the self-consistently calculated order parameter. The agreement between theory and experiment is good at high pressures, making use of an ad hoc strong coupling correction to the gap. At low pressures, where the weak coupling theory ought to be accurate, mismatch between theory and experiment is serious. It is speculated that a temperature-dependent roughness of surfaces at low pressures could explain the difficulties there.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. C. J. Pethick, H. Smith, and P. Bhattacharyya,Phys. Rev. Lett. 34, 643 (1975).

    Google Scholar 

  2. C. N. Archie, T. A. Alvesalo, J. D. Reppy, and R. C. Richardson,J. Low Temp. Phys. 42, 295 (1981).

    Google Scholar 

  3. D. Einzel and P. Wölfle,J. Low Temp. Phys. 32, (1978).

  4. P. Wölfle and D. Einzel,J. Low Temp. Phys. 32, 39 (1978).

    Google Scholar 

  5. H. Højgaard Jensen, H. Smith, P. Wölfle, K. Nagai, and T. M. Bisggard,J. Low Temp. Phys. 41, 473 (1980).

    Google Scholar 

  6. D. Einzel, H. Højgaard Jensen, H. Smith, and P. Wölfle,J. Low Temp. Phys. 53, 695 (1983).

    Google Scholar 

  7. D. Einzel,J. Low Temp. Phys. 54, 427 (1984).

    Google Scholar 

  8. D. Einzel, P. Wölfle, H. Højgaard Jensen, and H. Smith,Phys. Rev. Lett. 52, 1705 (1984).

    Google Scholar 

  9. D. Einzel and J. M. Parpia,Phys. Rev. Lett. 58, 1937 (1987).

    Google Scholar 

  10. D. Einzel and J. M. Parpia,Jpn. J. Appl. Phys. 26 (Suppl. 26-3), 161 (1987).

    Google Scholar 

  11. J. P. Eisenstein, G. W. Swift, and R. E. Packard,Phys. Rev. Lett. 45, 1199 (1980).

    Google Scholar 

  12. J. M. Parpia and T. L. Rhodes,Phys. Rev. Lett. 51, 805 (1983).

    Google Scholar 

  13. D. C. Carless, H. E. Hall, and J. R. Hook,J. Low Temp. Phys. 50, 605 (1983).

    Google Scholar 

  14. A. W. Yanof and J. D. Reppy,Phys. Rev. Lett. 33, 631 (1974).

    Google Scholar 

  15. T. Chainer, Y. Morii, and H. Kojima,Phys. Rev. B21, 3941 (1980).

    Google Scholar 

  16. G. Eska, K. Neumaier, W. Schoepe, K. Uhlig, W. Wiedemann, and P. Wölfle,Phys. Rev. Lett. 44, 1337 (1980).

    Google Scholar 

  17. T. Kodama and H. Kojima,Phys. Lett. A 87, 103 (1981).

    Google Scholar 

  18. M. Knudsen,Kinetic Theory of Gases (Methuen, London, 1950).

    Google Scholar 

  19. J. C. Wheatley,Rev. Mod. Phys. 47, 415 (1975).

    Google Scholar 

  20. W. Zhang, J. Kurkijärvi, and E. V. Thuneberg,Phys. Lett. 109A, 238 (1985);Phys. Rev. B 36, 1987 (1987).

    Google Scholar 

  21. W. Zhang, J. Kurkijärvi, D. Rainer, E. V. Thuneberg,Phys. Rev. B 37, 3336 (1988).

    Google Scholar 

  22. Yu N. Ovchinnikov,Zh. Eksp. Teor. Fiz. 56, 1590 (1969) [Sov. Phys.-JETP 29, 853 (1969)].

    Google Scholar 

  23. F. J. Culetto, G. Kieselmann, and D. Rainer, inProceedings of the 17th International Conference on Low Temperature Physics, LT-17, U. Eckern, A. Schmid, W. Weber, and H. Wühl, eds. (North-Holland, Amsterdam, 1984), p. 1027.

    Google Scholar 

  24. G. Kieselmann and D. Rainer,Z. Phys. B 52, 267 (1983).

    Google Scholar 

  25. J. W. Serene and D. Rainer,Phys. Rep. 101, 221 (1983).

    Google Scholar 

  26. D. Bloyet, E. Varoquaux, C. Vibet, O. Avenel, P. M. Berglund, and R. Combescot,Phys. Rev. Lett. 42, 1158 (1979).

    Google Scholar 

  27. R. Salmelin and M. Salomaa, to be published.

  28. J. W. Serene and D. Rainer,J. Low Temp. Phys. 34, 589 (1979).

    Google Scholar 

  29. D. S. Greywall,Phys. Rev. B 29, 4833 (1984).

    Google Scholar 

  30. D. S. Greywall,Phys. Rev. B 33, 7520 (1986).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhang, W., Kurkijärvi, J. Effective viscosity of3He-B at low temperatures. J Low Temp Phys 73, 483–494 (1988). https://doi.org/10.1007/BF00683575

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00683575

Keywords

Navigation