Abstract
The surface tension of liquid4He is determined from the frequencies of micron wavelength capillary waves. The extrapolated zero temperature value, σ=375±3 μJm−2, is in agreement with the pioneering static capillary rise determination but 6% higher than the more recent surface tension gravity wave measurements. Flow in the meniscus in this latter experiment is shown to mimic a surface tension correction to the dispersion relation there used which is of the same sign and magnitude as the discrepancy.
Article PDF
Avoid common mistakes on your manuscript.
References
K.R. Atkins and Y. Narahara,Phys. Rev. 138A, 437 (1965).
H. M. Guo, D. O. Edwards, R. E. Sarwinski and J. T. Tough,Phys. Rev. Lett. 27, 1259 (1971).
K. R. Atkins,Can. J. Phys. 31, 1165 (1953).
K. N. Zinov'eva and S. T. Boldarev,Zh. Eksp. Theor. Fiz. 56, 1089 (1969) [Sov. Phys. JETP 29, 585 (1969)].
M. Iino, M. Suzuki and A. J. Ikushima,J. Low Temp. Phys. 61, 155 (1985).
P. Roche, G. Deville, K. O. Keshishev, N. J. Appleyard and F. I. B. Williams,Phys. Rev. Lett. 29, 3316 (1995).
The temperature dependence of the surface tension is well fitted by Δσ=−5.1T 7/3μJm −2. This result agrees well with the Atkins theory Δσ=−6.5T 7/3μJm −2 and with the measurements of Eckart et al8 Δσ=−7.4T 7/3μJm −2. A more precise study of the systematic deviation from the Atkins law will be published elsewhere.
J. R. Eckart, D. O. Edwards and S. Y. Shen,Phys. Rev. B16, 1944 (1977).
L. D. Landau and E. M. Lifshitz,Electrodynamics of Continuous Media §15, Pergamon Press (1966)
F. Dalfovo, A. Lastri, L. Pricaupenko, S. Stringari and J. Treiner,Phys. Rev. B52, 1193 (1995).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Roche, P., Deville, G., Appleyard, N.J. et al. Measurement of the surface tension of superfluid4He at low temperature by capillary wave resonances. J Low Temp Phys 106, 565–573 (1997). https://doi.org/10.1007/BF02395922
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02395922