Skip to main content

Critical Velocities and Nucleation of Vortices in a Model of Superflow

  • Chapter
Instabilities and Nonequilibrium Structures IV

Part of the book series: Mathematics and Its Applications ((MAIA,volume 267))

Abstract

We study the superfluid flow around an obstacle and observe a transition to dissipation which is explained by the nucleation of quantized vortices. This transition between a potential flow state, dominated by sounds waves (phonons), toward a vortical state occurs at a well determined velocity threshold. We study the dependence of the critical velocity in different geometries in 2 or 3 spaces dimension. We also report a new mechanism of nucleation of a pair of vortices (vortex-antivortex) from the collision between (very short wavelength) sound waves.

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. L.D. Landau, J. Phys. (U.S.R.R) 5, 71 (1941).

    Google Scholar 

  2. L.D. Landau, J. Phys. (U.S.R.R) 11, 91 (1947).

    Google Scholar 

  3. R.P. Feynman, Progress in Low Temperature Physics, Vol I, Chap II (1955).

    Google Scholar 

  4. D.G. Henshaw & A.D.B. Woods, Phys. Rev. 121, 1266 (1961).

    Article  Google Scholar 

  5. L. Onsager, Nuovo Cimento Suppl. 6, 2, 249 (1949).

    Article  MathSciNet  Google Scholar 

  6. N.N. Bogoliubov, J. Phys. (U.S.R.R) 11, 23 (1947).

    Google Scholar 

  7. V.L. Ginzburg & L.P. Pitaevskii, JETP 34, 1240 (1958).

    MathSciNet  Google Scholar 

  8. L.P. Pitaevskii, JETP 40, 646 (1961).

    Google Scholar 

  9. E.P. Gross, J. Math. Phys. 4, 195 (1963).

    Article  Google Scholar 

  10. T. Frisch, Y. Pomeau & S. Rica, Phys. Rev. Lett. 69, 1644 (1992).

    Article  Google Scholar 

  11. L.D. Landau & E.M. Lifshitz, Fluid Mechanics Vol. 6.

    Google Scholar 

  12. Y. Pomeau, Remarques sur les écoulements externes compressibles, (Masson Éditeurs 1992).

    Google Scholar 

  13. J.C. Maxwell, A Treatise on Electricity & Magnetism, Art. 191, Dover (1954).

    Google Scholar 

  14. G.C. Ihas, O. Avenel, R. Aarts, R. Salmelin & E. Varoquaux, Phys. Rev. Lett. 69, 327 (1992).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Rica, S., Pomeau, Y. (1993). Critical Velocities and Nucleation of Vortices in a Model of Superflow. In: Tirapegui, E., Zeller, W. (eds) Instabilities and Nonequilibrium Structures IV. Mathematics and Its Applications, vol 267. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1906-1_36

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-1906-1_36

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4842-2

  • Online ISBN: 978-94-011-1906-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics