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Diffusive relaxation processes in liquid3He-4He mixtures. II. Superfluid phase

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Abstract

Relaxation measurements in superfluid3He-4He mixtures when a heat flux across a horizontal layer is switched on or off provide a quantitative test for the solutions of Khalatnikov's hydrodynamic equations. On the basis of these equations we predict that the relaxation times τ in a layer of heightd can be expressed by a simple scaled relation that is a function of static and transport properties. Relaxation experiments on five mixtures are in good agreement with these predictions. In an appendix we discuss the viscous penetration depth λ p and show that it is small enough for the Khalatnikov expressions to be valid under our experimental conditions.

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References

  1. R. P. Behringer and H. Meyer,J. Low Temp. Phys., this issue, preceding paper.

  2. I. M. Khalatnikov,Introduction to the Theory of Superfluidity (Benjamin, New York 1965), Section 24.

    Google Scholar 

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

    Google Scholar 

  4. G. Ahlers and D. Greywall,Phys. Rev. Lett. 29, 849 (1972).

    Google Scholar 

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

    Google Scholar 

  6. G. Ruppeiner, M. Ryschkewitsch, and H. Meyer,J. Low Temp. Phys. 41, 179 (1980).

    Google Scholar 

  7. G. Goellner, R. P. Behringer, and H. Meyer,J. Low Temp. Phys. 13, 113 (1973); M. Ryschkewitsch and H. Meyer,J. Low Temp. Phys. 35, 103 (1979); H. A. Kierstead,J. Low Temp. Phys. 35, 25 (1979).

    Google Scholar 

  8. T. A. Alvesalo, P. M. Berglund, S. T. Islander, G. R. Pickett, and W. Zimmermann, Jr.,Phys. Rev. A 4, 2354 (1971).

    Google Scholar 

  9. H. A. Kierstead,J. Low Temp. Phys. 24, 497 (1976).

    Google Scholar 

  10. S. T. Islander and W. Zimmermann, Jr.,Phys. Rev. A 7, 188 (1973).

    Google Scholar 

  11. P. Leiderer, D. R. Nelson, D. R. Watts, and W. W. Webb,Phys. Rev. Lett. 34, 1080 (1975).

    Google Scholar 

  12. P. Leiderer, D. R. Watts, and W. W. Webb,Phys. Rev. Lett. 33, 483 (1974).

    Google Scholar 

  13. D. B. Roe, G. Ruppeiner, and H. Meyer,J. Low Temp. Phys. 27, 747 (1977).

    Google Scholar 

  14. F. A. Staas, K. W. Taconis, and K. Fokkens,Physica 26, 669 (1960).

    Google Scholar 

  15. G. Ahlers and D. S. Greywall, inProc. 13th International Conference on Low Temperature Physics, K. D. Timmerhaus, W. J. O'Sullivan, and E. F. Hammel, eds. (Plenum, New York, 1974), Vol. 1, p. 586.

    Google Scholar 

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Research supported by grants from the National Science Foundation and the Research Corporation.

Alfred P. Sloan Fellow.

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Behringer, R.P., Meyer, H. Diffusive relaxation processes in liquid3He-4He mixtures. II. Superfluid phase. J Low Temp Phys 46, 435–450 (1982). https://doi.org/10.1007/BF00683909

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  • DOI: https://doi.org/10.1007/BF00683909

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