Abstract
It is suggested that microscopic vortex rings (MVR) play an important role in the λ-transition in helium-II and substantially determine the value of Tλ. For very thin films of He-II, with thickness d less than the size of the smallest MVR, the rings do not fit in and, therefore, do not exist in such films. Consequently, for superfluid films of He-II, a peculiarity in the form of a smoothed-out jump should be observed in the curve T m (d) at the values of thickness approximately equal to the size of the smallest M V R, d ≈ 6 Å ±3, Å (Tm is the temperature of the maximum of the broad peak in the curve of the dependence of the specific heat on temperature). The absence of a similar peculiarity will be an evidence that MVR do not influence the values of Tλ and Tm, and do not play any key role in the λ-transition. The currently available experimental data are insufficient for revealing the predicted peculiarity.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
L. Onsager (1949) Nuovo Cimento. 6 IssueIDSuppl. 2 249
E. Bycling (1965) Ann. Phys. (N.Y.) 32 367 Occurrence Handle10.1016/0003-4916(65)90138-7
F.W. Wiegel (1973) Physica. 65 321 Occurrence Handle10.1016/0031-8914(73)90348-0
Williams G.A. (1992). Phys. Rev. Lett. 59: 1926 (1987); Phys. Rev. Lett. 68: 2054.
F. Lund A. Reisenegger C. Utreras (1987) Phys. Rev. B. 41 155 Occurrence Handle10.1103/PhysRevB.41.155
S.J. Putterman (1974) Superfluid Hydrodynamics North-Holland Publ. Amsterdam, London
J. M. Kosterlitz and D. J. Thouless. J. Phys. C. 6: 1181 (1973); J. M. Kosterlitz. ibid. 7: 1046 (1974).
V. Ambegaokar B.I. Halperin D.R. Nelson E.D. Siggia (1980) Phys. Rev. B. 21 1806 Occurrence Handle10.1103/PhysRevB.21.1806
D. J. Bishop and J. D. Reppy. Phys. Rev. B . 22: 5171 (1980); D. J. Bishop et al. Phys. Rev. B. 24: 5047 (1981).
A. N. Berker and D.R. Nelson. Phys. Rev. B. 19: 2488 (1979); J. Tobochnik and G. V. Chester, ibid. 20: 3761 (1979); S. A. Solla and E. K. Riedel. ibid. 23: 6008 (1981).
D. Finotello K.A. Gillis A. Wong M.H.W. Chan (1988) Phys. Rev. Lett. 61 1954 Occurrence Handle10.1103/PhysRevLett.61.1954 Occurrence Handle10038941
S.Q. Murphy J.D. Reppy (1990) Physica B. 165–166 547
L.M. Steele C.J. Yeager D. Finotello (1993) Phys. Rev. Lett 71 3673 Occurrence Handle10055043
Y.Y. Yu D. Finotello F.M. Gasparini (1989) Phys. Rev. B. 39 6519
J. A. Nissen, T. C. P. Chui, and J. A. Lipa. J. Low Temp. Phys. 92: 353 (1993); A. Wacker and V. Dohm. Physica, B. 192–196: 611 (1994).
F.M. Gasparini M. Diaz-Avila M.O. Kimball K.P. Mooney (2004) J. Low Temp. Phys 134 585
M. D. Tomchenko. (1999). Fiz. Niz. Temp. 31: 483 (2005); Ukr. J. Phys. in press.
E. Lifshiz L. Pitaevskii (1999) Statistical Physics Pergamon Oxford
H. Cho G.A. Williams (1995) J. Low Temp. Phys 101 463
H.P.R. Frederikse (1949) Physica. 15 860
D.F. Brewer A.J. Symonds A.L. Thomson (1965) Phys. Rev. Lett 15 182
D.F. Brewer (1970) J. Low Temp. Phys 3 205
T.P. Chen and F. M. Gasparini. Phys. Lett. A . 62: 231 (1977); F. M. Gasparini, T. P. Chen, and B. Bhattacharya, Phys. Rev. B. 23: 5797 (1981).
C.A. Jones P.H. Roberts (1982) J. Phys. A. 15 2599
Rayfield G.W., Reif F. Phys. Rev. Lett. 11: 305 (1963) Phys. Rev. 136: A1194 (1964).
G.W. Rayfild (1967) Phys. Rev. Lett. 19 1371
L. Reatto G.L. Masserini S.A. Vitiello (1994) Physica B. 197 189
G. Agnolet D.F. McQueeney J.D. Reppy (1989) Phys. Rev. B. 39 8934
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Tomchenko, M.D. Possible Experiment for Determination of the Role of Microscopic Vortex Rings in the λ-transition in He-II. J Low Temp Phys 140, 3–9 (2005). https://doi.org/10.1007/s10909-005-6008-3
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s10909-005-6008-3