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
L. D. Landau and E. M. Lifshitz,Fluid Mechanics (Pergamon, 1959), Chapter 6.
S. R. De Groot and P. Mazur,Non-Equilibrium Thermodynamics (North-Holland, 1962), Section 7, Chapter 11, and Section 3, Chapter 3.
K. Kawasaki and J. D. Gunton,Phys. Rev. Lett. 29, 1661 (1972).
K. E. Grew and T. L. Ibbs,Thermal Diffusion in Gases (Cambridge Univ. Press, 1952), Chapter 8.
G. Ahlers,Phys. Rev. Lett. 24, 1333 (1970).
I. M. Khalatnikov,An Introduction to the Theory of Superfluidity (Benjamin, 1965), p. 156.
B. I. Halperin and P. C. Hohenberg,Phys. Rev. 177, 952 (1969).
L. D. Landau and E. M. Lifshitz,Statistical Physics (Pergamon, 1958), Chapter 8.
P. Lucas, D. Penman, and A. Tyler, inProc. 14th Int. Conf. Low Temp. Phys. (North-Holland, Amsterdam, 1975), Vol. 1, p. 329.
P. Lucas, D. A. Penman, and A. Tyler,Phys. Lett. 55A, 289 (1975).
M. Papoular,J. Low Temp. Phys. 24, 105 (1976).
R. A. Ferrell, N. Menyhard, H. Schmidt, F. Schwabl, and P. Szepfalusy,Ann. Phys. (N.Y.)47, 565 (1968).
R. D. Mountain,J. Res. Nat. Bur. Std. 69A, 523 (1965).
A. Griffin,Can. J. Phys. 47, 429 (1969).
J. C. Wheeler and R. B. Griffiths,Phys. Rev. 170, 249 (1968).
F. M. Gasparini and M. R. Moldover, inLow Temperature Physics—LT 13 (Plenum, New York, 1974), Vol. 1, p. 618.
A. Kakizaki and T. Satoh,J. Low Temp. Phys. 24, 67 (1976).
M. K. Grover and J. Swift,J. Low Temp. Phys. 11, 751 (1973).
G. Ahlers and F. Pobell,Phys. Rev. Lett. 32, 144 (1974).
E. Ya Rudavskii and I. A. Serbin,Sov. Phys.—JETP 24, 1294 (1967).
P. Lucas, D. A. Penman, and A. Tyler, inProc. 14th Int. Conf. Low Temp. Phys. (North-Holland, Amsterdam, 1975), Vol. p. 4, 297.
H. Van Dijk and M. Durieux,Physica 24, 920 (1958).
P. Lucas, D. A. Penman, and A. Tyler,Phys. Let. 54A, 387 (1975).
R. C. Jones and W. H. Furry,Rev. Mod. Phys. 18, 151 (1946).
H. Y. Carr and E. M. Purcell,Phys. Rev. 94, 630 (1954).
P. Lucas, D. A. Penman, and A. Tyler,Phys. Lett. 53A, 453 (1975).
E. C. Kerr, inLow Temperature Physics and Chemistry, Dillinger, ed. (Univ. of Wisconsin Press, 1958), p. 158.
R. W. H. Webeler and G. Allen,Phys. Rev. A 5, 1820 (1972).
E. M. Ifft, D. O. Edwards, R. E. Sarwinski, and M. M. Skertic,Phys. Rev. Lett. 19, 831 (1967).
C. Boghosian and H. Meyer,Phys. Lett. 25A, 352 (1967).
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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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DOI: https://doi.org/10.1007/BF00654650