Abstract
The surface tension of liquid4He was measured by means of surface-wave resonance, and the relative variation showed excellent agreement with that previously obtained by a precise capillary-rise method. The absolute value of the surface tension at absolute zero was measured as 354.4±0.5 mdyne/cm, 6% smaller than the previous value. The surface energy associated with the Bose-Einstein condensate wave function was found to dominate the surface tension in the superfluid phase. The condensate fraction other than in the vicinity of the λ point was estimated asn 0(0)-n 0(T)=A(T/T λ)α, withn 0(0)=0.125±0.025,A=0.177±0.047, and α=5.07±0.17.
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A. T. van Urk, W. H. Keesom, and H. Kamerlingh Onnes,Proc. R. Akad. Sci. Amsterdam 28, 958 (1925).
J. R. Eckardt, D. O. Edwards, and S. Y. Shen,Phys. Rev. B 16, 1944 (1977).
H. M. Guo, D. O. Edwards, R. E. Sarwinski, and J. T. Tough,Phys. Rev. Lett. 27, 1259 (1971).
D. O. Edwards, P. P. Fatouros, G. G. Ihas, P. Mrozinski, and S. Y. Shen,Phys. Rev. B 11, 4734 (1975).
F. M. Gasparini, J. R. Eckardt, D. O. Edwards, and S. Y. Shen,J. Low Temp. Phys. 13, 437 (1973).
D. O. Edwards, J. R. Eckardt, and F. M. Gasparini,Phys. Rev. A 9, 2070 (1974).
C. Ebner and W. F. Saam,Phys. Rev. B 12, 923 (1975).
K. R. Atkins,Can. J. Phys. 31, 1165 (1953).
N. K. Zinov'eva and S. T. Boldarev,Zh. Eksp. Teor. Fiz. 56, 1089 (1969) [Sov. Phys. JETP 29, 585 (1969)].
M. Iino, M. Suzuki, A. J. Ikushima, and Y. Okuda,Jpn. J. Appl. Phys. 23 (Suppl. 23-1), 54 (1984).
M. Iino, M. Suzuki, A. J. Ikushima, and Y. Okuda,J. Low Temp. Phys. 59, 291 (1985).
M. Iino, M. Suzuki, A. J. Ikushima, and Y. Okuda, inProceedings of the 17th International Conference on Low Temperature Physics (Elsevier, 1984), p. 1187.
I. M. Khalatnikov,An Introduction to the Theory of Superfluidity (Benjamin, New York, 1965), Part II.
D. O. Edwards, S. Y. Shen, J. R. Eckardt, P. P. Fatouros, and F. M. Gasparini,Phys. Rev. B 12, 892 (1975).
E. C. Kerr and R. D. Taylor,Ann. Phys. 26, 292 (1964).
M. H. Edwards and W. C. Woodbury,Phys. Rev. 129, 1911 (1963).
W. E. Keller,Helium-3 and Helium-4 (Plenum Press, New York, 1969), p. 86.
J. F. Allen and A. D. Misener,Proc. Philos. Soc. 34, 299 (1938).
D. P. E. Dickson, D. Caroline, and E. Mendoza,Phys. Lett. 33A, 139 (1970).
P. J. King and A. F. G. Wyatt,Proc. R. Soc. Lond. A 322, 355 (1971).
K. R. Atkins and Y. Narahara,Phys. Rev. 138A, 437 (1965).
N. Devaraj and A. C. Hollis Hallett,Can. J. Phys. 45, 2113 (1967).
S. T. Boldarev and V. P. Peshkov,Physica 69, 141 (1973).
D. O. Edwards and W. F. Sam, inProgress in Low Temperature Physics, Vol. 7A, D. F. Brewer, ed. (North-Holland, 1978), Chapter 4.
W. Brouwer and R. K. Pathria,Phys. Rev. 163, 200 (1967).
L. J. Campbell,Phys. Rev. B 27, 1913 (1983).
L. J. Campbell,Quantum Fluids and Solids—1983, AIP Conference Proceedings No. 103 (American Institute of Physics, New York, 1983), p. 403.
A. L. Fetter and J. D. Walecka,Quantum Theory of Many Particle Systems (McGraw-Hill, New York, 1971), Chapters 13 and 14.
G. W. Rayfield and F. Reif,Phys. Rev. 136, A1194 (1964).
G. Gamota and T. M. Sanders, Jr.,Phys. Rev. A 4, 1092 (1971).
M. Steingart and W. I. Glaberson,J. Low Temp. Phys. 8, 61 (1972).
V. Chiu and G. V. Chester,Phys. Rev. A 1, 1549 (1970).
F. W. Wirth, D. A. Ewen, and R. B. Hallock,Phys. Rev. B 27, 5530 (1983).
V. F. Sears and E. C. Svensson,Int. J. Quant. Chem.: Quant. Chem. Symp. 14, 715 (1980).
V. F. Sears and E. C. Svensson,Phys. Rev. Lett. 43, 2009 (1979).
V. F. Sears, E. C. Svensson, P. Martel, and A. D. B. Woods,Phys. Rev. Lett. 49, 279 (1982).
R. A. Ferrell, N. Menyhard, H. Schmidt, F. Schwabl, and P. Szepfalusy,Ann. Phys. 47, 565 (1968).
K. Kehr,Z. Physik 221, 291 (1969).
C. A. Croxton,Statistical Mechanics of the Liquid Surface (Wiley, New York, 1980), Chapter 1.
J. Wilks,The Properties of Liquid and Solid Helium (Clarendon Press, London, 1967), Appendix 1.
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Iino, M., Suzuki, M. & Ikushima, A.J. Surface tension of liquid4He. Surface energy of the Bose-Einstein condensate. J Low Temp Phys 61, 155–169 (1985). https://doi.org/10.1007/BF00682735
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DOI: https://doi.org/10.1007/BF00682735