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Heat transport in dilute mixtures of3He in superfluid4He

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Abstract

We report new measurements of the effective thermal conductivity Keff and relaxation time τ in dilute mixtures of3He in superfluid4He, with molar concentrationsX≤10−3. The temperature range extended fromT≈1.4 K toT λ. Both Kcff and τ are found to agree with theoretical predictions, in contrast to previous experiments where significant differences were observed. A new thermal conductivity cell design was used which almost completely eliminates extraneous volumes and surfaces, and the earlier results are explained in relation to these design changes.

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References

  1. J. Wilks,The Properties of Liquid and Solid Helium, Clarendon Press, Oxford (1967).

    Google Scholar 

  2. F. London,Superfluids Vol. II, Dover Publications, New York (1954), p. 192.

    Google Scholar 

  3. I. M. Khalatnikov and V. N. Zharkov,Zh. Eksp. Teor. Fiz. 32, 1108 (1957) [Sov. Phys. JETP 5, 905 (1957)].

    Google Scholar 

  4. R. P. Behringer and H. Meyer,J. Low Temp. Phys. 46, 435 (1982).

    Article  Google Scholar 

  5. R. P. Behringer,J. Low Temp. Phys. 81, 1 (1990). Although in this paper only the relaxation time for a normal fluid is explicity derived (Eq. 22), it is shown that the response function (Eq. 51b) for a dilute superfluid mixture is equivalent to that of a simple fluid (Eq. 13). Hence Behringer implicity derives τ for a superfluid mixture.

    Article  Google Scholar 

  6. J. Tuttle, F. Zhong, and H. Meyer,J. Low Temp. Phys. 82, 15 (1991).

    Article  Google Scholar 

  7. R. A. Ferrell, inExcitations in Two-Dimensional and Three-Dimensional Quantum Fluids, A. F. G. Wyatt and H. J. Lauter (eds.) NATO ASI Series Vol. 257, Plenum Press, New York (1991), p. 205.

    Google Scholar 

  8. T. P. Ptukha,Zh. Eksp. Teor. Fiz. 39, 896 (1960),Sov. Phys. JETP 12, 621 (1961).

    Google Scholar 

  9. T. P. Ptukha,Zh. Eksp. Teor. Fiz. 40, 1583 (1961),Sov. Phys. JETP 13, 1112 (1961).

    Google Scholar 

  10. M. Tanaka, A. Ikushima, and K. Kawasaki,Phys. Lett. 61A, 119 (1977).

    ADS  Google Scholar 

  11. D. Gestrich, M. Dingus, and H. Meyer,Phys. Lett. 99A, 331 (1983).

    ADS  Google Scholar 

  12. M. Dingus, F. Zhong, J. Tuttle, and H. Meyer,J. Low Temp. Phys. 65, 213 (1986).

    Article  Google Scholar 

  13. F. Zhong, J. Tuttle, and H. Meyer,J. Low Temp. Phys. 79, 9 (1990).

    Article  Google Scholar 

  14. H. Meyer, J. Tuttle, and F. Zhong, inExcitations in Two-Dimensional and Three-Dimensional Quantum Fluids, A. F. G. Wyatt and H. J. Lauter (eds.), NATO ASI Series Vol. 257, Plenum Press, New York (1991), p. 195.

    Google Scholar 

  15. D. Murphy and H. Meyer,J. Low Temp. Phys. 99, 745 (1995).

    Article  Google Scholar 

  16. R. P. Behringer,J. Low Temp. Phys. 62, 15 (1986).

    Article  Google Scholar 

  17. G. Moser and R. Folk,Phys. Rev. B 44, 819 (1991).

    Article  ADS  Google Scholar 

  18. T. C. P. Chui and J. A. Lipa,Jap. J. Appl. Phys. Suppl. 26-3, 13 (1987).

    ADS  Google Scholar 

  19. T. C. P. Chui and J. A. Lipa,Phys. Rev. B 40, 4306 (1989).

    Article  ADS  Google Scholar 

  20. F. Zhong, D. Gestrich, M. Dingus, and H. Meyer,J. Low Temp. Phys. 68, 55 (1987).

    Article  Google Scholar 

  21. J. Tuttle, F. Zhong, and H. Meyer,J. Low Temp. Phys. 83, 283 (1991).

    Article  Google Scholar 

  22. J. S. Olafsen,Ph.D. Thesis, Duke University (1995) unpublished, J. S. Olafsen and R. P. Behringer, to be published.

  23. R. Duncan and G. Ahlers,Phys. Rev. B 43, 7707 (1991).

    Article  ADS  Google Scholar 

  24. D. Murphy and H. Meyer,J. Low Temp. Phys. 105, 185 (1996).

    Article  Google Scholar 

  25. W. Y. Tam and G. Ahlers,Phys. Rev. B 32, 592 (1985).

    Article  Google Scholar 

  26. M. Dingus, F. Zhong, and H. Meyer,J. Low Temp. Phys. 65, 185 (1986).

    Article  Google Scholar 

  27. V. Dohm and R. Folk,Phys. Rev. B 28, 1332 (1983).

    Article  ADS  Google Scholar 

  28. The fit formula to these data was kindly provided by F. Zhong.

  29. H. A. Kierstead,J. Low Temp. Phys. 23, 791 (1976).

    Article  Google Scholar 

  30. A. Singsaas and G. Ahlers,Phys. Rev. B 29, 4951 (1984) and refs therein.

    Article  ADS  Google Scholar 

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Murphy, D., Meyer, H. Heat transport in dilute mixtures of3He in superfluid4He. J Low Temp Phys 107, 175–196 (1997). https://doi.org/10.1007/BF02396840

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  • DOI: https://doi.org/10.1007/BF02396840

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