Abstract
A scaled plot is presented of published sound attenuation and dispersion data of 3 He and 4 He along the critical isochore above Tc as a function of the reduced frequency ω * . Here ω * ≡ω/Γ with ω the frequency and Γ the order parameter relaxation rate, where the latter is determined from experimental transport and thermodynamic data. For a given isotope, the scaled data obtained at different frequencies lie on a single curve. These curves are different, however, for 3 He and 4 He. The resulting scaled plot is compared with recent predictions by Onuki, and by Folk and Moser. The crossover-term contribution in Γ from the background thermal conductivity data is compared with the form derived by Bhattacharjee and Ferrell. In the Appendix, the calculation of Γ for both 3 He and 4 He from experiments is described and discussed.
Similar content being viewed by others
REFERENCES
R. Folk and G. Moser, Phys. Rev. Lett. 75, 2706 (1995).
J. Luettmer-Strathmann, J. V. Sengers, and G. A. Olchowy, J. Chem. Phys. 103, 7482 (1995).
A. Onuki, Phys. Rev. E 55, 403 (1997).
R. Folk and G. Moser, I, Phys. Rev. E (to appear).
R. Folk and G. Moser, II, Phys. Rev. E (to appear).
J. K. Bhattacharjee and R. A. Ferrell, Physica A (to appear).
R. Folk and G. Moser, J. Low Temp. Phys. 99, 11 (1995).
J. Luettmer-Strathmann and J. V. Sengers, J. Chem. Phys. 104, 3026 (1996).
D. B. Roe, B. A. Wallace, and H. Meyer, J. Low Temp. Phys. 16, 51 (1974).
D. B. Roe and H. Meyer, J. Low Temp. Phys. 30, 91 (1978).
T. Doiron, D. Gestrich, and H. Meyer, Phys. Rev. B 22, 3202 (1980). In this paper, the authors accidentally forgot to mention that in Fig. 2 the U(1 MHz) data, represented by open squares for 4He and open diamonds for 3He, were those from Refs. 9 and 10, obtained in the same laboratory.
F. Zhong, A. B. Kogan, and H. Meyer, J. Low Temp. Phys. 108, 161 (1997).
K. Kawazaki, Phys. Rev. A 1, 1750 (1970).
C. Pittman, L. Cohen, and H. Meyer, J. Low Temp. Phys. 46, 115 (1982).
L. D. Landau and E. M. Lifshitz, Fluid Mechanics Vol. 6 of Course of Theoretical Physics, Pergamon Press, Oxford (1959), p. 304.
E. M. Lifshitz and L. P. Pitaevskii, Physical Kinetics Vol. 10 of Course of Theoretical Physics, Pergamon Press, Oxford (1981).
J. Bhattacharjee and R. A. Ferrell, Phys. Lett. A 88, 77 (1982).
J. V. Sengers, Int. J. Thermophys. 6, 203 (1985).
C. C. Agosta, S. Wang, L. H. Cohen, and H. Meyer, J. Low Temp. Phys. 67, 237 (1987).
Y. Miura, H. Meyer, and A. Ikushima, J. Low Temp. Phys. 55, 247 (1984).
R. A. Ferrell and J. K. Bhattacharjee, Phys. Rev. A 31, 1788 (1985).
A. Onuki, J. Phys. Soc. Jpn. 66, 511 (1997).
G. Moser and R. Folk, Proc. 21rst Intern. Conf. Low Temp. Physics LT21, Czech. J. Phys. 46,S1, 167 (1996).
M. Barmatz, Phys. Rev. Lett. 24, 651 (1970).
F. Zhong and H. Meyer, to be published.
G. A. Olchowy and J. V. Sengers, Phys. Rev. Lett. 61, 15 (1988).
J. V. Sengers, in Supercritical Fluids: Fundamentals for Applications, E. Kiran and J. M. H. Levelt Sengers (eds.), Kluwer, Dordrecht (1994), p. 231.
E. P. Sakonidou, H. R. van den Berg, C. ten Seldam, and J. V. Sengers, J. Chem. Phys. 105, 10535 (1996).
A. Acton and K. Kellner, Physica B 90, 192 (1977).
A. Acton, PhD. Thesis, University of Southampton (1976) (Unpublished), and private communication.
F. Zhong and H. Meyer, Phys. Rev. E 51, 3223 (1995).
C. Pittman, T. Doiron, and H. Meyer, Phys. Rev. B 20, 3678 (1979).
M. R. Moldover, Phys. Rev. 182, 342 (1969).
H. A. Kierstead, Phys. Rev. A 7, 242 (1973).
H. A. Kierstead, Phys. Rev. A 3, 329 (1971).
L. Mistura, International School of Physics Enrico Fermi, Course LI, Academic Press, New York (1971), p. 563.
K. Kawasaki, Phys. Rev. A 1, 1750 (1970).
H. L. Swinney and D. L. Henry, Phys. Rev. A 8, 2586 (1973).
J. V. Sengers and J. M. J. van Leeuwen, Physica A 116, 345 (1982).
R. G. Brown and H. Meyer, Phys. Rev. A 6, 364 (1972).
R. P. Behringer, T. Doiron, and H. Meyer, J. Low Temp. Phys. 24, 315 (1976).
B. Wallace and H. Meyer, Phys. Rev. A 2, 1563 (1970).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kogan, A.B., Meyer, H. Sound Propagation in 3He and 4He Above the Liquid-Vapor Critical Point. Journal of Low Temperature Physics 110, 899–918 (1998). https://doi.org/10.1023/A:1022637129020
Issue Date:
DOI: https://doi.org/10.1023/A:1022637129020