Zeitschrift für Physik B Condensed Matter

, Volume 87, Issue 2, pp 229–246 | Cite as

Nonlinear heat transport near the λ transition in4He

  • R. Haussmann
  • V. Dohm
Original Contributions

Abstract

The effect of a finite stationary heat current is investigated in the spatially inhomogenous situation where the heat current induces an interface between normal-liquid and superfluid4He. The nonlinear temperature profile in the vicinity of the interface and the local thermal conductivity are calculated forT>Tλ within modelF up to oneloop order. The field-theoretic renormalization-group approach is employed to describe the critical behavior both in the linear and nonlinear response regime. The finite heat currentQ causes a finite temperature gradient atTλ and therefore suppresses the critical divergence of the thermal conductivity. Quantitative predictions are made on the nonlinearQ dependence of the temperature profile and of the thermal conductivity which should be experimentally observable.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Hohenberg, P.C., Halperin, B.I.: Rev. Mod. Phys.49, 435 (1977)Google Scholar
  2. 2.
    Janssen, H.K., Schaub, B., Schmittmann, B.: Z. Phys. B-Condensed Matter73, 539 (1989); Bausch, R., Jassen, H.K.: Z. Phys. B-Condensed Matter25, 275 (1976); Huse, D.A.: Phys. Rev. B40, 304 (1989); Bray, A.: J. Phys. A23, L67 (1990)Google Scholar
  3. 3.
    Ahlers, G.: Phys. Rev. Lett.21, 1159 (1968); Bhagat, S.M., Lasken, R.A.: Phys. Rev. A3, 340 (1971);4, 264 (1971);5, 2297 (1972); Bhagat, S.M., Davis, R.S., Lasken, R.A.: In: Low temperature physics-LT13. Timmerhaus, K.D., O'Sullivan, W.J., Hammel, E.F. (eds.), Vol. 1, p. 328. New York: Plenum Press 1974Google Scholar
  4. 4.
    Duncan, R.V., Ahlers, G., Steinberg, V.: Phys. Rev. Lett.60, 1522 (1988); Ahlers, G., Duncan, R.V.: In: Frontiers of physics, Proceedings of the Landau memorial conference, Tel Aviv 1988. Gotsman, E., Ne'eman, Y., Voronel, A. (eds.), p. 219. Oxford: Pergamon Press 1990Google Scholar
  5. 5.
    Landau, L.D.: J. Phys. (Moscow)5, 71 (1941): In: Collected papers of L.D. Landau. Ter Haar, D. (ed.), p. 301. New York: Gordon and Breach 1965Google Scholar
  6. 6.
    Tam, W.Y., Ahlers, G.: Phys. Rev. B32, 5932 (1985)Google Scholar
  7. 7.
    Dingus, M., Zhong, F., Meyer, H.: J. Low Temp. Phys.65, 185 (1986)Google Scholar
  8. 8.
    Lipa, J.A., Chui, T.C.P.: Phys. Rev. Lett.58, 1340 (1987); Lipa, J.A.: In: Proceedings of the Eighth University of Oregon Conference on Low Temperature Physics, January 1990. (unpublished)Google Scholar
  9. 9.
    Dohm, V.: Z. Phys. B-Condensed Matter61, 193 (1985)Google Scholar
  10. 10.
    Dohm, V.: Phys. Rev. B44, 2697 (1991)Google Scholar
  11. 11.
    Onuki, A.: J. Low Temp. Phys.50, 433 (1983);55, 309 (1984); Jpn. J. Appl. Phys. [Suppl.]26-3, 365 (1987); In: Proceedings of the Fifth Oregon Conference on Liquid Helium, 1987. (unpublished)Google Scholar
  12. 12.
    Halperin, B.I., Hohenberg, P.C., Siggia, E.D.: Phys. Rev. Lett.32, 1289 (1974); Phys. Rev. B13, 1299 (1976); Erratum21, 2044 (1980)Google Scholar
  13. 13.
    Haussmann, R., Dohm, V.: (to be published)Google Scholar
  14. 14.
    Haussmann, R., Dohm, V.: In: Proceedings of the Eighth University of Oregon Conference on Low Temperature Physics, 1990. (unpublished)Google Scholar
  15. 15.
    Haussmann, R., Dohm, V.: Phys. Rev. Lett.67, 3404 (1991)Google Scholar
  16. 16.
    Janssen, H.K.: Z. Phys. B-Condensed Matter23, 377 (1976); De Dominicis, C.: J. Phys. (Paris)37, C-247 (1976)Google Scholar
  17. 17.
    Bausch, R., Janssen, H.K., Wagner, H.: Z. Phys. B-Condensed Matter24, 113 (1976)Google Scholar
  18. 18.
    De Dominicis, C., Peliti, L.: Phys. Rev. B18, 353 (1978)Google Scholar
  19. 19.
    Frank, D., Dohm, V.: Phys. Rev. Lett.62, 1864 (1989); Z. Phys. B-Condensed Matter84, 443 (1991)Google Scholar
  20. 20.
    Dohm, V.: Z. Phys. B-Condensed Matter60, 61 (1985)Google Scholar
  21. 21.
    Schloms, R., Dohm, V.: Phys. Rev. B42, 6142 (1990)Google Scholar
  22. 22.
    Pankert, J., Dohm, V.: Phys. Rev. B40, 10842 (1989)Google Scholar
  23. 23.
    Pankert, J., Dohm, V.: Phys. Rev. B40, 10856 (1989); Moser, G., Dohm, V., Pankert, J.: (to be published)Google Scholar
  24. 24.
    Schloms, R., Pankert, J., Dohm, V.: Physical B165/166, 563 (1990)Google Scholar
  25. 25.
    Martin, P.C., Siggia, E.D., Rose, H.A.: Phys. Rev. A8, 423 (1979)Google Scholar
  26. 26.
    Schloms, R., Dohm, V.: Nucl. Phys. B328, 639 (1989)Google Scholar
  27. 27.
    Singsaas, A., Ahlers, G.: Phys. Rev. B30, 5103 (1984)Google Scholar
  28. 28.
    Halperin, B.I., Hohenberg, P.C., Ma, S.K.: Phys. Rev. B10, 139 (1974)Google Scholar
  29. 29.
    Onuki, A.: Prog. Theor. Phys. [Suppl.]79, 191 (1984)Google Scholar
  30. 30.
    Ahlers, G.: In: The physics of liquid and solid helium. Bennemann, K.H., Kettersen, J.B. (eds.), Vol. 1. New York: Wiley 1976Google Scholar
  31. 31.
    Ahlers, G.: J. Low Temp. Phys.84, 173 (1991)Google Scholar
  32. 32.
    Haussmann, R.: Dissertation, TH Aachen 1991Google Scholar

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • R. Haussmann
    • 1
  • V. Dohm
    • 1
  1. 1.Institut für Theoretische PhysikTechnische Hochschule AachenAachenGermany

Personalised recommendations