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
J. Wilks,The Properties of Liquid and Solid Helium, Clarendon Press, Oxford (1967).
F. London,Superfluids Vol. II, Dover Publications, New York (1954), p. 192.
I. M. Khalatnikov and V. N. Zharkov,Zh. Eksp. Teor. Fiz. 32, 1108 (1957) [Sov. Phys. JETP 5, 905 (1957)].
R. P. Behringer and H. Meyer,J. Low Temp. Phys. 46, 435 (1982).
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.
J. Tuttle, F. Zhong, and H. Meyer,J. Low Temp. Phys. 82, 15 (1991).
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.
T. P. Ptukha,Zh. Eksp. Teor. Fiz. 39, 896 (1960),Sov. Phys. JETP 12, 621 (1961).
T. P. Ptukha,Zh. Eksp. Teor. Fiz. 40, 1583 (1961),Sov. Phys. JETP 13, 1112 (1961).
M. Tanaka, A. Ikushima, and K. Kawasaki,Phys. Lett. 61A, 119 (1977).
D. Gestrich, M. Dingus, and H. Meyer,Phys. Lett. 99A, 331 (1983).
M. Dingus, F. Zhong, J. Tuttle, and H. Meyer,J. Low Temp. Phys. 65, 213 (1986).
F. Zhong, J. Tuttle, and H. Meyer,J. Low Temp. Phys. 79, 9 (1990).
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.
D. Murphy and H. Meyer,J. Low Temp. Phys. 99, 745 (1995).
R. P. Behringer,J. Low Temp. Phys. 62, 15 (1986).
G. Moser and R. Folk,Phys. Rev. B 44, 819 (1991).
T. C. P. Chui and J. A. Lipa,Jap. J. Appl. Phys. Suppl. 26-3, 13 (1987).
T. C. P. Chui and J. A. Lipa,Phys. Rev. B 40, 4306 (1989).
F. Zhong, D. Gestrich, M. Dingus, and H. Meyer,J. Low Temp. Phys. 68, 55 (1987).
J. Tuttle, F. Zhong, and H. Meyer,J. Low Temp. Phys. 83, 283 (1991).
J. S. Olafsen,Ph.D. Thesis, Duke University (1995) unpublished, J. S. Olafsen and R. P. Behringer, to be published.
R. Duncan and G. Ahlers,Phys. Rev. B 43, 7707 (1991).
D. Murphy and H. Meyer,J. Low Temp. Phys. 105, 185 (1996).
W. Y. Tam and G. Ahlers,Phys. Rev. B 32, 592 (1985).
M. Dingus, F. Zhong, and H. Meyer,J. Low Temp. Phys. 65, 185 (1986).
V. Dohm and R. Folk,Phys. Rev. B 28, 1332 (1983).
The fit formula to these data was kindly provided by F. Zhong.
H. A. Kierstead,J. Low Temp. Phys. 23, 791 (1976).
A. Singsaas and G. Ahlers,Phys. Rev. B 29, 4951 (1984) and refs therein.
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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