Abstract
From second-sound velocity measurements, superfluid densities near superfluid transition points were determined in3He-4He mixtures under saturated vapor pressure. The critical exponent of the superfluid density thus obtained increases about 15% with increasing3He concentration up to 40 mole percent, which contradicts the universality concept. Furthermore, the critical exponents obtained here and the exponents of the specific heat do not satisfy the scaling laws. A new concept of universality is introduced and discussed.
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References
G. Terui and A. Ikushima,Phys. Lett. 39A, 161 (1972).
D. S. Greywall and G. Ahlers,Phys. Rev. Lett. 28, 1251 (1972).
A. Ikushima and G. Terui,J. Low Temp. Phys. 10, 397 (1973).
D. S. Greywall and G. Ahlers,Phys. Rev. A 7, 2145 (1973).
G. Ahlers,Phys. Rev. A 8, 530 (1973).
F. Gasparini and M. R. Moldover,Phys. Rev. Lett. 23, 749 (1969).
T. A. Alvesalo, P. M. Berglund, S. T. Islander, and G. R. Pickett,Phys. Rev. A 4, 2354 (1972).
G. Terui and A. Ikushima,Phys. Lett. 43A, 255 (1973).
G. Ahlers and D. S. Greywall,Phys. Rev. Lett. 29, 847 (1972).
R. B. Griffiths,Phys. Rev. Lett. 24, 1479 (1970).
L. P. Kadanoffet al., Rev. Mod. Phys. 39, 395 (1967); M. E. Fisher,Rep. Prog. Phys. 30, 615 (1967).
R. A. Sherlock and D. O. Edward,Rev. Sci. Instr. 41, 1603 (1970).
B. D. Josephson,Phys. Lett. 21, 608 (1966).
S. M. Noble,J. Phys. C 3, L123 (1970).
J. Wilks,The Properties of Liquid and Solid Helium (Clarendon Press, Oxford, 1967); I. M. Khalatnikov,Introduction to the Theory of Superfluidity (Benjamin, New York, 1965).
K. W. Taconis and R. De Bruyn Ouboter, inProgress in Low Temperature Physics, (1964), Vol. IV, Chapter II, p. 38.
S. G. Sydriak and T. R. Roberts,Phys. Rev. 118, 901 (1960).
V. I. Sobolev and B. N. Esel'son,Soviet Phys.—JETP 150, 132 (1971).
G. Ahlers, inThe Physics of Liquid and Solid Helium, Chapter VIII.
R. J. Baxter,Ann. Phys. 70, 193 (1970).
M. Suzuki, to be published.
W. C. Thomlinson, G. G. Ihas, and F. Pobell,Phys. Rev. Lett. 31, 1284 (1973).
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Submitted in partial fulfillment of the requirements for the Ph.D. degree at The University of Tokyo.
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Terui, G., Ikushima, A. Second-sound velocity and superfluid density in3He-4He mixtures near superfluid transition points—Applicability of universality and scaling laws. J Low Temp Phys 16, 291–303 (1974). https://doi.org/10.1007/BF00655319
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DOI: https://doi.org/10.1007/BF00655319