Skip to main content
Log in

The velocity of second sound in dilute3He-4He solutions below 0.6°K

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

Abstract

The velocity of second soundu 2 in dilute solutions of3He in4He has been measured by a pulse, time-of-flight technique using a new type of mechanical transducer. Tables of measured values ofu 2 as a function of temperature between 0.03 and 0.6° K are presented for3He concentrations in the range 0.14–6.3% at the saturated vapor pressure and under hydrostatic pressures of 10 and 20 atm. Estimates of the upper limit of the intrinsic attenuation of second sound have also been made and these are consistent with theory provided that the experimental values of the phonon thermal conductivity lifetime are used in place of the values calculated by Baym and Ebner.

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.

Similar content being viewed by others

References

  1. L. Tisza,Compt. Rend. 207, 1035, 1186 (1938).

    Google Scholar 

  2. L. D. Landau,J. Phys. USSR 5, 71 (1941).

    Google Scholar 

  3. V. P. Peshkov,Dokl. Akad. Nauk. SSSR 45, 365 (1944);J. Phys. Moscow 8, 381 (1944).

    Google Scholar 

  4. V. P. Peshkov,Zh. Eksperim. i Teor. Fiz. 18, 867 (1948).

    Google Scholar 

  5. E. A. Lynton and H. A. Fairbank,Phys. Rev. 80, 1043 (1950).

    Google Scholar 

  6. I. Pomeranchuk,Zh. Eksperim. i Teor. Fiz. 34, 33 (1949).

    Google Scholar 

  7. J. C. King and H. A. Fairbank,Phys. Rev. 93, 21 (1954).

    Google Scholar 

  8. S. D. Elliot and H. A. Fairbank,Low Temperature Physics and Chemistry, J. R. Dillinger, ed. (Univ. of Wisconsin Press, Madison, 1958), p. 180.

    Google Scholar 

  9. C. G. Niels-Hakkenberg, L. Meermans, and H. C. Kramers,Proceedings of the Eighth International Conference on Low Temperature Physics, R. O. Davies, ed. (London, 1962), pp. 45–56.

  10. D. J. Sandiford and H. A. Fairbank,Phys. Rev. 162, 192 (1967).

    Google Scholar 

  11. C. G. Niels-Hakkenberg and H. C. Kramers,Proceedings of the Eleventh International Conference on Low Temperature Physics, J. Allen, D. Finlayson, and D. McCall, eds. (St. Andrews, Scotland, 1968), p. 375.

    Google Scholar 

  12. P. V. E. McClintock, K. H. Mueller, R. A. Guyer, and H. A. Fairbank,Proceedings of the Eleventh International Conference on Low Temperature Physics, J. Allen, D. Finlayson, and D. McCall, eds. (St. Andrews, Scotland, 1968), p. 379.

    Google Scholar 

  13. I. M. Khalatnikov,Introduction to the Theory of Superfluidity (W. A. Benjamin, New York, 1965), p. 161.

    Google Scholar 

  14. R. A. Sherlock and D. O. Edwards,Rev. Sci. Instr. (1970), to be published.

  15. I. M. Khalatnikov,Introduction to the Theory of Superfluidity (W. A. Benjamin, New York, 1965), p. 163.

    Google Scholar 

  16. L. D. Landau and I. Pomeranchuk,Dokl. Akad. Nauk SSSR 59, 669 (1948).

    Google Scholar 

  17. J. Bardeen, G. Baym, and D. Pines,Phys. Rev. 156, 207 (1967).

    Google Scholar 

  18. G. J. Throop and J. M. J. van Leeuwen,Phys. Rev. 188, 468 (1969).

    Google Scholar 

  19. W. F. Saam, Ph.D. dissertation, University of Illinois, 1968, unpublished.

  20. G. Baym and C. Ebner,Phys. Rev. 164, 235 (1967).

    Google Scholar 

  21. G. Baym and W. F. Saam,Phys. Rev. 171, 172 (1968); G. Baym, W. F. Saam, and C. Ebner,Phys. Rev. 173, 306 (1968).

    Google Scholar 

  22. R. I. Boughton, Jr., N. R. Brubaker, and R. E. Sarwinski,Rev. Sci. Instr. 38, 1177 (1967).

    Google Scholar 

  23. V. P. Peshkov,Zh. Eksperim. i Teor. Fiz. 38, 799 (1960) [English transl.,Soviet Phys.—JETP 11, 580 (1960)].

    Google Scholar 

  24. J. Wilks,Liquid and Solid Helium (Clarendon Press, Oxford, 1967), p. 209.

    Google Scholar 

  25. F. London,Superfluids (John Wiley and Sons, New York, 1954).

    Google Scholar 

  26. N. R. Brubaker, D. O. Edwards, R. E. Sarwinski, P. Seligmann, and R. A. Sherlock,Phys. Rev. Letters 25, 715 (1970).

    Google Scholar 

  27. T. P. Ptukha,Zh. Eksperim. i Teor. Fiz. 40, 1583 (1961) [English transl.,Soviet Phys.—JETP 13, 1112 (1961)].

    Google Scholar 

  28. W. R. Abel and J. C. Wheatley,Phys. Rev. Letters 21, 1231 (1968).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Work supported by a grant from the National Science Foundation.

On leave of absence from University of Nottingham, U.K.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brubaker, N.R., Edwards, D.O., Sarwinski, R.E. et al. The velocity of second sound in dilute3He-4He solutions below 0.6°K. J Low Temp Phys 3, 619–634 (1970). https://doi.org/10.1007/BF00628338

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00628338

Keywords

Navigation