Skip to main content
SpringerLink
Log in

Nonlinear renormalization-group analysis applied to the hydrodynamic light scattering spectrum of4He belowT λ

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

We calculate the observable critical temperature dependence of the transport coefficients entering the hydrodynamic form of the dynamic structure factor of4He belowT λ. Application of our recently introduced nonlinear renormalization-group analysis yields quantitative agreement with previous light scattering experiments in the hydrodynamic region. This resolves a long-standing problem in the critical dynamics below the superfluid transition of4He.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Dominicis, C. De, Peliti, L.: Phys. Rev. Lett.38, 505 (1977); Phys. Rev. B18, 353 (1978)

    Google Scholar 

  2. Dohm, V., Ferrell, R.A.: Phys. Lett.67A, 387 (1978)

    Google Scholar 

  3. Dohm, V.: Z. Phys. B—Condensed Matter31, 327 (1978)

    Google Scholar 

  4. Ferrell, R.A., Dohm, V., Bhattacharjee, J.K.: Phys. Rev. Lett.41, 1818 (1978)

    Google Scholar 

  5. Ferrell, R.A., Bhattacharjee, J.K.: J. Low Temp. Phys.36, 165 (1979)

    Google Scholar 

  6. Dohm, V.: Z. Phys. B—Condensed Matter33, 79 (1979)

    Google Scholar 

  7. Ferrell, R.A., Bhattacharjee, J.K.: Phys. Rev. Lett.42, 1638 (1979)

    Google Scholar 

  8. Ferrell, R.A., Bhattacharjee, J.K.: Phys. RevB20, 3690 (1979)

    Google Scholar 

  9. Ferrell, R.A., Bhattacharjee, J.K.: In: Proceedings of the International Conference on Dynamic Critical Phenomena. Enz, C.P. (ed.). Berlin, Heidelberg, New York: Springer 1979

    Google Scholar 

  10. Ferrell, R.A., Bhattacharjee, J.K.: In: Light Scattering in Solids. Birman, J.L., Cummins, H.Z., Rebane, K.K. (eds.), New York: Plenum Press 1979

    Google Scholar 

  11. Bhattacharjee, J.K.: Thesis, University of Maryland (1979)

  12. Dohm, V., Folk, R.: Z. Phys. B—Condensed Matter35, 277 (1979) Z. Phys. B—Condensed Matter39, 94 (1980)

    Google Scholar 

  13. Dohm, V., Folk, R.: Phys. Rev. Lett.46, 349 (1981)

    Google Scholar 

  14. Hohenberg, P.C., Halperin, B.I., Nelson, D.R.: Phys. Rev.B22, 2373 (1980)

    Google Scholar 

  15. Dohm, V., Folk, R.: Z. Phys. B—Condensed Matter40, 79 (1980)

    Google Scholar 

  16. Halperin, B.I., Hohenberg, P.C., Siggia, E.D.: Phys. Rev.B13, 1299 (1976);B21 (E), 2044 (1980)

    Google Scholar 

  17. Siggia, E.D.: Phys. Rev.B 13, 3218 (1976)

    Google Scholar 

  18. Hohenberg, P.C., Siggia, E.D., Halperin, B.I.: Phys. Rev.B14, 2865 (1976)

    Google Scholar 

  19. Ahlers, G.: Phys. Rev. Lett.21, 1159 (1968)

    Google Scholar 

  20. Ahlers, G.: In: Proceedings of the Twelfth International Conference on Low Temperature Physics. Kanda, E. (ed.), p. 21. Tokyo: Academic Press 1971

    Google Scholar 

  21. Kerrisk, J.F., Keller, W.E.: Phys. Rev.177, 341 (1969)

    Google Scholar 

  22. Bowers, R.: Proc. Phys. Soc. (London), Sect.A65, 511 (1952)

    Google Scholar 

  23. Ahlers, G.: Phys. Rev. Lett.43, 1417 (1979)

    Google Scholar 

  24. Hanson, W.B., Pellam, J.R.: Phys. Rev.95, 321 (1954)

    Google Scholar 

  25. Tarvin, J.A., Vidal, F., Greytak, T.J.: Phys. Rev.B15, 4193 (1977)

    Google Scholar 

  26. Winterling, G., Holmes, F.S., Greytak, T.J.: Phys. Rev. Lett.30, 427 (1973)

    Google Scholar 

  27. Vinen, W.F., Hurd, D.L.: Adv. Phys.27, 533 (1978); Vinen, W.F., Palin, C.J., Lumley, J.M., Hurd, D.L., Vaughan, J.M.: Low Temperature Physics, LT-14. Krusius, M., Vuorio, M. (eds.), Vol. I, p. 191. Amsterdam: North-Holland 1975

    Google Scholar 

  28. For a treatment including the more complicated critical region belowT λ see: Dominicis, C. De, Dohm, V.: (in preparation)

  29. See e.g. Stephen, M.J.: In: The physics of liquid and solid helium. Bennemann, K.H., Ketterson, J.B. (eds.), Vol. I, Chap. 4. New York: Wiley 1976

    Google Scholar 

  30. Ferrell, R.A., Menyhard, N., Schmidt, H., Schwabl, F., Szépfalusy, P.: Phys. Rev. Lett.18, 891 (1967); Ann. Phys. (NY)47, 565 (1968)

    Google Scholar 

  31. Tyson, J.A.: Phys. Rev. Lett.21, 1235 (1968)

    Google Scholar 

  32. Greytak, T.J.: In: Proceedings of the International Conference on Dynamic Critical Phenomena. Enz, C.P. (ed.). Berlin, Heidelberg, New York: Springer 1979

    Google Scholar 

  33. Rudnick, J., Nelson, D.R.: Phys. Rev.B13, 2208 (1976)

    Google Scholar 

  34. Ahlers, G.: In: The physics of liquid and solid helium. Bennemann K.H., Ketterson, J.B. (eds.), Vol. I, Chap. 2. New York: Wiley 1976

    Google Scholar 

  35. Ahlers, G.: Rev. Mod. Phys.52, 489 (1980)

    Google Scholar 

  36. Ahlers, G.: Phys. Rev.A8, 530 (1973)

    Google Scholar 

  37. Hohenberg, P.C., Aharony, A., Halperin, B.I., Siggia, E.D.: Phys. Rev.B13, 2986 (1976)

    Google Scholar 

  38. See e.g. Hohenberg, P.C., Halperin, B.I.: Rev. Mod. Phys.49, 435 (1977)

    Google Scholar 

  39. De Dominicis, C., Dohm, V.: unpublished (1979)

  40. Archibald, M., Mochel, J.M., Weaver, L.: Phys. Rev. Lett.21, 1165 (1968)

    Google Scholar 

Download references

Author information

Author notes

  1. R. Folk

    Present address: Institut für Theoretische Physik, Universität Linz, A-4045, Linz, Austria

Authors and Affiliations

  1. Institut für Festkörperforschung der Kernforschungsanlage Jülich, Postfach 1913, D-5170, Jülich 1, Federal Republic of Germany

    V. Dohm

  2. Institut für Festkörperforschung, Kernforschungsanlage Jülich, Federal Republic of Germany

    R. Folk

Authors
  1. V. Dohm
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. Folk
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported in part by the Fonds zur Förderung der wissenschaftlichen Forschung

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dohm, V., Folk, R. Nonlinear renormalization-group analysis applied to the hydrodynamic light scattering spectrum of4He belowT λ . Z. Physik B - Condensed Matter 41, 251–258 (1981). https://doi.org/10.1007/BF01294431

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01294431

Keywords

Search

Navigation