Journal of Low Temperature Physics

, Volume 21, Issue 1–2, pp 191–196

Instability of vortex lines in the presence of axial normal fluid flow

  • R. M. Ostermeier
  • W. I. Glaberson
Article

Abstract

We show that a normal mode analysis of the complete Hall two-fluid equations in rotating He II yields a critical velocity for axial normal fluid flow which is identical to the critical velocity derived in an earlier paper from the superfluid equation alone. We also present a simplified derivation of the critical velocity based on consideration of the forces acting on an isolated vortex line. The analysis is extended to3He-4He solutions and it is shown that rather small impurity concentrations can greatly increase the critical heat current in axial thermal counterflow.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    W. I. Glaberson, W. W. Johnson, and R. M. OstermeierPhys. Rev. Lett. 33., 1197 (1974).Google Scholar
  2. 2.
    D. K. Cheng, M. W. Cromar, and R. J. Donnelly.,Phys. Rev. Lett.,31, 433 (1973).Google Scholar
  3. 3.
    H. E. Hall, inLiquid Helium, International School of Physics “Enrico Fermi” Course XXI, G. Carreri, ed. (Academic Press, New York, 1963).Google Scholar
  4. 4.
    E. S. Raja Gopal,Ann. Phys. (N. Y.) 29, 350 (1964).Google Scholar
  5. 5.
    I. M. Khalatnikov and V. N. Zharkov,Soviet Phys.—JETP 5, 905 (1957).Google Scholar
  6. 6.
    T. P. Ptukha,Soviet Phys.—JETP 13, 1112 (1961).Google Scholar
  7. 7.
    G. W. Rayfield and F. Reif,Phys. Rev. 136A, 1194 (1964).Google Scholar
  8. 8.
    G. A. Williams and R. E. Packard,Phys. Rev. Lett. 33, 280 (1974).Google Scholar

Copyright information

© Plenum Publishing Corporation 1975

Authors and Affiliations

  • R. M. Ostermeier
    • 1
  • W. I. Glaberson
    • 1
  1. 1.Department of PhysicsRutgers UniversityNew Brunswick

Personalised recommendations