Skip to main content

The Experimental Evidence for Vortex Nucleation in 4He

  • Chapter
  • First Online:
Quantized Vortex Dynamics and Superfluid Turbulence

Part of the book series: Lecture Notes in Physics ((LNP,volume 571))

Abstract

This update on the problem of vortex nucleation in superflows through micro-apertures follows the recent reviews of the subject by Zimmermann [1] and one of the authors [2]. Recent developments of the model of vortex nucleation involving a vortex half-ring are assessed with an emphasis on the statistical properties of the critical velocity transition. The occurrence of collapses and multiple slips is then discussed in relation with the problem of vortex nucleation.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
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
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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.

References

  1. W. Zimmermann Jr., C.A. Lindensmith, J.A. Flaten, J. Low Temp. Phys. 110, 497 (1998), and references therein

    Article  Google Scholar 

  2. E. Varoquaux, in: Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions, ed. by Y.M Bunkov, H. Godfrin (Kluwer Academic, The Netherlands 2000) p. 303 and references therein

    Google Scholar 

  3. S. Burkhart, M. Bernard, O. Avenel, E. Varoquaux: Phys. Rev. Lett. 72, 380 (1994)

    Article  ADS  Google Scholar 

  4. W. Zimmermann, Jr: J. Low Temp. Phys. 93, 1003 (1993)

    Article  ADS  Google Scholar 

  5. O. Avenel, G.G. Ihas, E. Varoquaux: J. Low Temp. Phys. 93 1031 (1993)

    Article  ADS  Google Scholar 

  6. E. Varoquaux, O. Avenel: Physica B 197, 306 (1994) and references therein

    Article  ADS  Google Scholar 

  7. W. Zimmermann, Jr.: Contemporary Phys. 37, 219 (1996)

    Article  ADS  Google Scholar 

  8. C. Josserand, Y. Pomeau: Europhys. Lett. 30, 43 (1995)

    Article  ADS  Google Scholar 

  9. C. Josserand, Y. Pomeau, S. Rica: Phys. Rev. Lett. 75, 3150 (1995)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  12. T. Frisch, Y. Pomeau, S. Rica: Phys. Rev. Lett., 69,1644 (1992) C. Josserand, Y. Pomeau, S. Rica: Physica D 134, 111 (1999) S. Rica: this Workshop

    Article  ADS  Google Scholar 

  13. B. Jackson, T. Winiecki, M. Leadbeater, J.F. McCann, C.S. Adams: thisWorkshop, and references therein

    Google Scholar 

  14. P.H. Roberts, N. Berlo.: this Workshop, and references therein

    Google Scholar 

  15. W. Zimmermann Jr., O. Avenel, E. Varoquaux: Physica B, 165&166, 749 (1990)

    Article  Google Scholar 

  16. J. Steinhauer, K. Schwab, Yu. Mukharsky, J.C. Davis, R.E. Packard: Phys. Rev. Lett. 74, 5056 (1995) J. Low Temp. Phys. 100, 281 (1995). The criticism of the 1/2-ring model made in these references has been refuted by E. Varoquaux and O. Avenel: Phys. Rev. Lett. 76, 1180 (1996)

    Article  ADS  Google Scholar 

  17. G.G. Ihas, O. Avenel, R. Aarts, R. Salmelin, E. Varoquaux: Phys. Rev. Lett. 69, 327(1992)

    Article  ADS  Google Scholar 

  18. V.I. Mel'nikov: Phys. Reports 209, 1 (1991)

    Article  ADS  Google Scholar 

  19. A.O. Caldeira: PhD Thesis, quoted in A.O. Caldeira, A.J. Leggett: Ann. Phys. (N.Y.) 149, 374 (1983)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  21. G.E. Volovik: Sov. Phys. JETP Lett. 15, 81 (1972)

    ADS  Google Scholar 

  22. J.S. Langer, J.D. Reppy: Prog. Low Temp. Phys., Vol. 6, ed. C. J. Gorter (North-Holland, Amsterdam 1970)

    Google Scholar 

  23. C.M. Muirhead, W.F. Vinen, R.J. Donnelly: Phil. Trans. Roy. Soc. A 311, 433 (1984) Proc. R. Soc. London A 402, 225 (1985)

    Article  ADS  Google Scholar 

  24. E.B. Sonin: Physica B 210, 234 (1995)

    Article  ADS  Google Scholar 

  25. U.R. Fischer: Phys. Rev. B58, 105 (1998) Physica B 255, 41 (1998)

    ADS  Google Scholar 

  26. C. Nore, C. Huepe, M.E. Brachet: Phys. Rev. Lett. 84, 2191 (2000)

    Article  ADS  Google Scholar 

  27. S. Rica: Physica D (to be published) and this Workshop

    Google Scholar 

  28. R.N. Hills and P.H. Roberts: J. Phys. C 11, 4485 (1978) P.H. Roberts, R.N. Hills and R.J. Donnelly: Phys. Lett. 70A, 437(1979)

    Article  ADS  Google Scholar 

  29. J. Maynard: Phys. Rev. B 14, 3868 (1976)

    Article  ADS  Google Scholar 

  30. E. Varoquaux, G.G. Ihas. O. Avenel, R. Aarts: Phys. Rev. Lett. 70, 2114 (1993)

    Article  ADS  Google Scholar 

  31. C.A. Jones, P.H. Roberts: J. Phys. A: Math. Gen. 15, 2599 (1982)

    Article  ADS  Google Scholar 

  32. F.V. Kusmartsev: Phys. Rev. Lett. 761880 (1996)

    Article  ADS  Google Scholar 

  33. J.C. Davis, J. Steinhauer, K. Schwab, Yu. Mukharsky, A. Amar, Y. Sasaki, R.E. Packard: Phys. Rev. Lett. 69, 323 (1992)

    Article  ADS  Google Scholar 

  34. G. M. Shifflett, G. B. Hess: J. Low Temp. Phys. 98, 591 (1995)

    Article  ADS  Google Scholar 

  35. O. Avenel, M. Bernard, S. Burkhart, E. Varoquaux: Physica B 210, 215 (1995)

    Article  ADS  Google Scholar 

  36. E. Varoquaux, W. Zimmermann Jr., O. Avenel: in Proc. NATO workshop on Excitations in 2D and 3D Quantum Fluids, ed. by A.F.G. Wyatt, H.J. Lauter (Plenum Press, NY 1991) p. 343 and references therein

    Google Scholar 

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

    Article  ADS  Google Scholar 

  38. E. Varoquaux, O. Avenel, M. Bernard, S. Burkhart: J. Low Temp. Phys. 101, 821 (1995)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  40. P.W. Adams, M. Cieplak, W.J. Glaberson: Phys. Rev. Lett. 78, 3602 (1985)

    Google Scholar 

  41. K.W. Schwarz: private communication to E.V.; the 3D simulations presented at the QVD Workshop by C. Adams also show that vortex loops can undergo severe deformations and not break apart (to appear in Euro. Phys. Lett.)

    Google Scholar 

  42. B.V. Svistunov: Phys. Rev. 52, 3647(1995)

    Article  ADS  Google Scholar 

  43. M. Tsubota, T. Araki, S.K. Nemirovskii: Phys. Rev. B (in press) and thisWorkshop

    Google Scholar 

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

    Article  ADS  Google Scholar 

  45. W. Zimmermann: Jr., J. Low T. Phys. 91, 219 (1993) J. Flaten: PhD Thesis, Univ. of Minnesota (1997, unpublished). The large dissipation events reported by these authors apparently fall in yet another category than the multiple slips and the singular collapses discussed here as they persist over a number of resonator periods.

    Article  ADS  Google Scholar 

  46. P. Hakonen, O. Avenel, E. Varoquaux: Phys. Rev. Lett. 81, 3451 (1998)

    Article  ADS  Google Scholar 

  47. E. Varoquaux, O. Avenel, P. Hakonen, Yu. Mukharsky: Physica B 255, 55 (1998)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Varoquaux, É., Avenel, O., Mukharsky, Y., Hakonen, P. (2001). The Experimental Evidence for Vortex Nucleation in 4He. In: Barenghi, C.F., Donnelly, R.J., Vinen, W.F. (eds) Quantized Vortex Dynamics and Superfluid Turbulence. Lecture Notes in Physics, vol 571. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45542-6_3

Download citation

  • DOI: https://doi.org/10.1007/3-540-45542-6_3

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42226-6

  • Online ISBN: 978-3-540-45542-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics