Skip to main content

Part of the book series: NATO ASI Series ((NSSB,volume 257))

Abstract

The problem of the critical velocity for the flow of superfluid 4He through small orifices has been long standing.1–6 We reexamine it here in the light of the results obtained by phase slippage experiments. The occurence of phase slips 7–11 when the flow velocity v s exceeds a certain threshold v c marks the onset of dissipation in the superfluid. According to current views,12 dissipative slips of the phase by 2π are caused in 4He by vortex filaments crossing all the streamlines passing through the orifice. The initial stages of this process are, however, still unknown.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. R.P. Feynman, in Prog. Low Temp. Phys., vol. I, ed. C.J. Gorter ( North-Holland, Amsterdam, 1955 ) p. 17.

    Google Scholar 

  2. J. Wilks, The Properties of Liquid and Solid Helium (Clarendon Press, Oxford, 1967).

    Google Scholar 

  3. W.E. Keller, Helium-3 and Helium-4 ( Plenum, New York, 1969 );

    Google Scholar 

  4. R. de Bryun Ouboter, K.W. Taconis, W.M. van Alphen, Prog. Low Temp. Phys. vol.V, ed. C.J. Gorter ( North-Holland, Amsterdam, 1969 ).

    Google Scholar 

  5. W.F. Vinen, in Liquid Helium, Proc. Int. School of Physics Enrico Fermi, Course XXI (Academic Press, New York, 1963 ) p. 336.

    Google Scholar 

  6. A.L. Fetter, in The Physics of Liquid and Solid Helium, part 1, ed. K.H. Benneman, J.B. Ketterson ( Wiley-Interscience, New York, 1976 ) p. 238.

    Google Scholar 

  7. J.S. Langer, J.D. Reppy, Prog. Low Temp. Phys., Vol. VI, ed. C.J. Gorter (North-Holland, Amsterdam, 1970) Ch.l.

    Google Scholar 

  8. O. Avenel, E. Varoquaux, Phys. Rev. Lett. 55, 2704 (1985).

    Article  ADS  Google Scholar 

  9. E. Varoquaux, M.W. Meisel, O. Avenel, Phys. Rev. Lett. 57, 2291 (1986).

    Article  ADS  Google Scholar 

  10. E. Varoquaux, O. Avenel, M. Meisel, Can. J. Phys. 65, 1377 (1987).

    Article  ADS  Google Scholar 

  11. O. Avenel, E. Varoquaux, Phys. Rev. Lett. 59, 1168 (1987).

    Article  ADS  Google Scholar 

  12. O. Avenel, E. Varoquaux, Jpn. J. Appl. Phys. 26–3 1798 (1987).

    Google Scholar 

  13. P.W. Anderson, Rev. Mod. Phys. 38, 298 (1966).

    Article  ADS  Google Scholar 

  14. B.P. Beecken, W. Zimmermann, Jr., Phys. Rev. B 35, 74 (1987).

    Article  ADS  Google Scholar 

  15. B.P. Beecken, W. Zimmermann, Jr., Phys. Rev. B 35, 1630 (1987).

    Article  ADS  Google Scholar 

  16. O. Avenel, E. Varoquaux, W. Zimmermann, Jr., Proc. LT19 (1990).

    Google Scholar 

  17. W. Zimmermann, Jr., O. Avenel, E. Varoquaux, Proc. LT19 (1990).

    Google Scholar 

  18. D.D. Awschalom, K.W. Schwarz, Phys. Rev. Lett. 52, 49 (1984).

    Article  ADS  Google Scholar 

  19. K.W. Schwarz, Phys. Rev. Lett. 50, 364 (1983).

    Article  ADS  Google Scholar 

  20. K.W. Schwarz, Phys. Rev. Lett. 57, 1448 (1986).

    Article  ADS  Google Scholar 

  21. K.W. Schwarz, Phys. Rev. Lett. 59, 1167 (1987).

    Article  ADS  Google Scholar 

  22. O. Avenel, E. Varoquaux, Phys. Rev. Lett. 64, 416 (1988).

    Article  ADS  Google Scholar 

  23. R.M. Bowley, in Quantum Fluids and Solids-1989, eds. G.G. Ihas, Y. Takano (AIP, New York, 1989 ) p. 149.

    Google Scholar 

  24. P.C. Hendry, N.S. Lawson, P.V.E. McClintock, C.D.H. Williams, R.M.Bowley, Phys. R.v. Lett. 60, 604 (1988).

    Article  ADS  Google Scholar 

  25. C.M. Muirhead, W.F. Vinen, R.J. Donnelly, Phil. Trans. R. Soc. London A 311, 433 (1984).

    Article  ADS  Google Scholar 

  26. G.B. Hess, in Low Temperature Physics LT-13, vol. 1, ed. K.D. Timmerhaus, W.J. O’Sullivan, E.F. Hammel ( Plenum Press, New York, 1974 ) p. 302.

    Google Scholar 

  27. C.J. Adie, J.G.M. Armitae, 75th Jubilee Conference on Helium-4 ( World Scientific, Singapore, 1983 p. 174.

    Google Scholar 

  28. B.C. Crooker, Ph.D. thesis, Cornell University (1984), unpublished.

    Google Scholar 

  29. J.P. Huhn, C. Laroche, A. Libchaber, B. Perrin, Phys. Rev. A 5, 1830 (1972).

    Article  ADS  Google Scholar 

  30. J.P. Huhn, D. D’Humières, B. Perrin, A. Libchaber, Phys. Rev. A 9, 885 (1974);

    Article  ADS  Google Scholar 

  31. J-P. Hulin, Ph.D. Thesis, (Université de Paris, 1973), unpublished and private communication.

    Google Scholar 

  32. G.B. Hess, Phys. Rev. B 15, 5204 (1977).

    Article  ADS  Google Scholar 

  33. W. Zimmermann, Jr., unpublished.

    Google Scholar 

  34. H.A. Notarys, Phys. Rev. Lett. 22, 1240 (1969).

    Article  ADS  Google Scholar 

  35. S.J. Harrison, K. Mendelssohn in Low Temperature Physics LT-13, vol.1, ed. K.D. Timmerhaus, W.J. O’Sullivan, E.F. Hammel ( Plenum Press, New York, 1974 ) p. 298.

    Google Scholar 

  36. E.Y. Andrei, W.I. Glaberson, Phys. Lett. 79A, 431 (1980).

    Article  Google Scholar 

  37. Y.J. Brown, G.B. Hess, J. Low Temp. Phys. 49, 267 (1982).

    Article  ADS  Google Scholar 

  38. M.E. Banton, J. Low Temp. Phys. 74, 211 (1974).

    Article  ADS  Google Scholar 

  39. W.E. Keller, E F Hammel, Physics 2, 221 (1966).

    Google Scholar 

  40. E.N. Smith, Ph.D. Thesis (Cornell University, 1971), unpublished.

    Google Scholar 

  41. H.E. Corke, A.F. Hildebrandt, Phys. Rev. A 2, 1492 (1970).

    Article  ADS  Google Scholar 

  42. G.G. Nancolas, R.M. Bowley, P.V.E. McClintock, Phil. Trans. R. Soc. London A 313, 537 (1985).

    Article  ADS  Google Scholar 

  43. D.B. Crum, D.O. Edwards, R.E. Sarwinski, Phys. Rev. 9, 1312 (1974).

    Article  ADS  Google Scholar 

  44. M.W. Toft, J.M.G. Armitage, J. Low Temp. Phys. 52, 342 (1983).

    Article  ADS  Google Scholar 

  45. L.S. Rent, I.Z. Fisher, Sov. Phys. JETP 28, 375 (1969).

    ADS  Google Scholar 

  46. B.B. Sabo, Ph.D. Thesis (University of Minnesota, 1973), unpublished.

    Google Scholar 

  47. J. Davis, A. Amar, R. Packard, Poster at QFS89, Gainesville, FL (1989).

    Google Scholar 

  48. S.G. Hedge, W.I. Glaberson, Phys. Rev. Lett. 45, 190 (1980).

    Article  ADS  Google Scholar 

  49. P.W. Adams, M. Cieplak, W.I. Glaberson, Phys. Rev. B 32, 171 (1985).

    Article  ADS  Google Scholar 

  50. K.W. Schwarz, Phys. Rev. Lett. 64, 1130 (1990).

    Article  ADS  Google Scholar 

  51. K.W. Schwarz, Phys. Rev. Lett. 47, 251 (1981);

    Article  ADS  Google Scholar 

  52. K.W. Schwarz, Phys. Rev. B 31, 5782 (1985).

    Article  ADS  Google Scholar 

  53. M.W. Meisel, P. Kumar, Proc. LT19 (1990).

    Google Scholar 

  54. C. Colliex, private communication (1990).

    Google Scholar 

  55. P. Sudraud, P. Ballongue, E. Varoquaux, O. Avenel, J. Appl. Phys. 62, 2163 (1987).

    Article  ADS  Google Scholar 

  56. B.P. Beecken, W. Zimmermann, Jr., J. Vac. Tech. A 3, 1839 (1985).

    Article  ADS  Google Scholar 

  57. D.W. Moore, P.G. Saffman, Phil. Trans. R. Soc. London 272, 403 (1972).

    Article  ADS  MATH  Google Scholar 

  58. W.I. Glaberson, R.J. Donnelly, Phys. Rev. 141, 208 (1966).

    Article  ADS  Google Scholar 

  59. S.V. Iordanski, Soy. Phys. JETP 21, 467 (1965).

    ADS  Google Scholar 

  60. J.S. Langer, M.E. Fisher, Phys. Rev. Lett. 19, 560 (1967).

    Article  ADS  Google Scholar 

  61. J.R. Clow, J.D. Reppy, Phys. Rev. Lett. 9, 291 (1967).

    Article  ADS  Google Scholar 

  62. G.E. Volovik, JETP Lett. 15, 81 (1972).

    ADS  Google Scholar 

  63. S.C. Crow, AIAA Journal 8, 2172 (1970).

    Article  ADS  Google Scholar 

  64. S.E. Widnall, Ann. Rev. Fluid Mech. 7, 141 (1975).

    Article  ADS  Google Scholar 

  65. A.A. Sobyanin, A.A. Stratonnikov, Soy. Phys. JETP, 45, 613 (1987).

    ADS  Google Scholar 

  66. A. Pumir, E.D. Siggia, Phys. Fluids 30, 1606 (1987).

    Article  ADS  MATH  Google Scholar 

  67. Yu. Krasnov, Sov. J. Low Temp. Phys. 5, 519 (1979);

    Google Scholar 

  68. Yu. Krasnov, Sov. J. Low Temp. Phys. 6, 598 (1980).

    Google Scholar 

  69. S.I. Shevchenko, Sov. J. Low Temp. Phys. 9, 69 (1983).

    Google Scholar 

  70. G.V. Chester, in The Helium Liquids, ed. J.G.M. Armitage and I.E. Farquhar ( Academic Press, London, 1975 ) p. 35.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Plenum Press, New York

About this chapter

Cite this chapter

Varoquaux, E., Zimmermann, W., Avenel, O. (1991). Phase-Slippage Studies of the Critical Velocity in Helium-4. In: Wyatt, A.F.G., Lauter, H.J. (eds) Excitations in Two-Dimensional and Three-Dimensional Quantum Fluids. NATO ASI Series, vol 257. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5937-1_33

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-5937-1_33

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-5939-5

  • Online ISBN: 978-1-4684-5937-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics