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Thermal diffusion ratio of a3He/4He mixture near its λ transition: The onset of heat flush

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Abstract

We present experimental data on the thermal diffusion ratioK T for a 15 molar % mixture near its λ transition obtained from measurements of the convection velocity of a mixture contained in a vertical column. The physical nature of the normal modes of heat and mass transfer near the transition is discussed. One possibility that arises from this discussion is that the temperature dependence ofk T may be such that\(k_{T_\lambda } - k_T \sim D^{--{\text{1/2}}}\), where\(k_{T_\lambda }\) is the value ofk T at the transition andD is the mass diffusion coefficient. There is limited support for this conjecture by the data over a restricted temperature range.

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References

  1. L. D. Landau and E. M. Lifshitz,Fluid Mechanics (Pergamon, 1959), Chapter 6.

  2. S. R. De Groot and P. Mazur,Non-Equilibrium Thermodynamics (North-Holland, 1962), Section 7, Chapter 11, and Section 3, Chapter 3.

  3. K. Kawasaki and J. D. Gunton,Phys. Rev. Lett. 29, 1661 (1972).

    Google Scholar 

  4. K. E. Grew and T. L. Ibbs,Thermal Diffusion in Gases (Cambridge Univ. Press, 1952), Chapter 8.

  5. G. Ahlers,Phys. Rev. Lett. 24, 1333 (1970).

    Google Scholar 

  6. I. M. Khalatnikov,An Introduction to the Theory of Superfluidity (Benjamin, 1965), p. 156.

  7. B. I. Halperin and P. C. Hohenberg,Phys. Rev. 177, 952 (1969).

    Google Scholar 

  8. L. D. Landau and E. M. Lifshitz,Statistical Physics (Pergamon, 1958), Chapter 8.

  9. P. Lucas, D. Penman, and A. Tyler, inProc. 14th Int. Conf. Low Temp. Phys. (North-Holland, Amsterdam, 1975), Vol. 1, p. 329.

    Google Scholar 

  10. P. Lucas, D. A. Penman, and A. Tyler,Phys. Lett. 55A, 289 (1975).

    Google Scholar 

  11. M. Papoular,J. Low Temp. Phys. 24, 105 (1976).

    Google Scholar 

  12. R. A. Ferrell, N. Menyhard, H. Schmidt, F. Schwabl, and P. Szepfalusy,Ann. Phys. (N.Y.)47, 565 (1968).

    Google Scholar 

  13. R. D. Mountain,J. Res. Nat. Bur. Std. 69A, 523 (1965).

    Google Scholar 

  14. A. Griffin,Can. J. Phys. 47, 429 (1969).

    Google Scholar 

  15. J. C. Wheeler and R. B. Griffiths,Phys. Rev. 170, 249 (1968).

    Google Scholar 

  16. F. M. Gasparini and M. R. Moldover, inLow Temperature Physics—LT 13 (Plenum, New York, 1974), Vol. 1, p. 618.

    Google Scholar 

  17. A. Kakizaki and T. Satoh,J. Low Temp. Phys. 24, 67 (1976).

    Google Scholar 

  18. M. K. Grover and J. Swift,J. Low Temp. Phys. 11, 751 (1973).

    Google Scholar 

  19. G. Ahlers and F. Pobell,Phys. Rev. Lett. 32, 144 (1974).

    Google Scholar 

  20. E. Ya Rudavskii and I. A. Serbin,Sov. Phys.—JETP 24, 1294 (1967).

    Google Scholar 

  21. P. Lucas, D. A. Penman, and A. Tyler, inProc. 14th Int. Conf. Low Temp. Phys. (North-Holland, Amsterdam, 1975), Vol. p. 4, 297.

    Google Scholar 

  22. H. Van Dijk and M. Durieux,Physica 24, 920 (1958).

    Google Scholar 

  23. P. Lucas, D. A. Penman, and A. Tyler,Phys. Let. 54A, 387 (1975).

    Google Scholar 

  24. R. C. Jones and W. H. Furry,Rev. Mod. Phys. 18, 151 (1946).

    Google Scholar 

  25. H. Y. Carr and E. M. Purcell,Phys. Rev. 94, 630 (1954).

    Google Scholar 

  26. P. Lucas, D. A. Penman, and A. Tyler,Phys. Lett. 53A, 453 (1975).

    Google Scholar 

  27. E. C. Kerr, inLow Temperature Physics and Chemistry, Dillinger, ed. (Univ. of Wisconsin Press, 1958), p. 158.

  28. R. W. H. Webeler and G. Allen,Phys. Rev. A 5, 1820 (1972).

    Google Scholar 

  29. E. M. Ifft, D. O. Edwards, R. E. Sarwinski, and M. M. Skertic,Phys. Rev. Lett. 19, 831 (1967).

    Google Scholar 

  30. C. Boghosian and H. Meyer,Phys. Lett. 25A, 352 (1967).

    Google Scholar 

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Lucas, P., Tyler, A. Thermal diffusion ratio of a3He/4He mixture near its λ transition: The onset of heat flush. J Low Temp Phys 27, 281–303 (1977). https://doi.org/10.1007/BF00654650

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