Quantized Vortices in Superfluid Helium‐4

FEB 01, 1987

Singular whirlpools give rise to such diverse phenomena as superfluid turbulence, two‐dimensional phase transitions and quantum nucleation.

DOI: 10.1063/1.881099

William I. Glaberson

Klaus W. Schwarz

When liquid helium‐4 is cooled to 2.17 K it changes from an ordinary fluid to a superfluid somewhat similar in nature to superfluid helium‐3 and to the electron fluid in superconductors. Extensive investigation over the last five decades has given us a highly refined phenomenological description of how superfluid ${He}^{4}$ behaves, even though the underlying quantum theory is only partially understood. Much of the current research on superfluid ${He}^{4}$ is part of a continuing effort to work out the implications of this phenomenological description, in the same way as classical fluid dynamicists are still working out the implications of the Navier‐Stokes equations.

References

1. R. P. Feynman, in Progress in Low Temperature Physics, vol. 1, C. J. Gorter, ed., North Holland, Amsterdam (1957), p. 17.
2. W. I. Glaberson, R. J. Donnelly, in Progress in Low Temperature Physics, vol. 9, D. F. Brewer, ed., North Holland, Amsterdam (1986), p. 1.
3. H. E. Hall, W. F. Vinen, Proc. R. Soc. London, Sect. A 238, 204, 215 (1956).
H. E. Hall, Philos. Mag. Suppl. 9, 89 (1960).https://doi.org/ADPHAH
4. E. J. Yarmchuk, R. E. Packard, J. Low. Temp. Phys. 46, 479 (1982).https://doi.org/JLTPAC
5. G. Baym, E. Chandler, J. Low Temp Phys. 50, 57 (1983).https://doi.org/JLTPAC
6. C. D. Andereck, J. Chalupa, W. I. Glaberson, Phys. Rev. Lett. 4, 33 (1980). https://doi.org/PRLTAO
C. D. Andereck, W. I. Glaberson, J. Low Temp. Phys. 48, 33 (1982).https://doi.org/JLTPAC
7. W. F. Vinen, in Progress in Low Temperature Physics, vol. 3, C. J. Gorter, ed., North Holland, Amsterdam (1961), p. 1.
8. J. T. Tough, in Progress in Low Temperature Physics, vol. 8, D. F. Brewer, ed., North Holland, Amsterdam (1982), p. 133.
9. K. W. Schwarz, Phys. Rev. Lett. 49, 283 (1982); https://doi.org/PRLTAO
K. W. Schwarz, Phys. Rev. Lett. 50, 364 (1983); https://doi.org/PRLTAO
K. W. Schwarz, Phys. Rev. B 31, 5782 (1985); https://doi.org/PRBMDO
K. W. Schwarz, Phys. Rev. Lett. 57, 1448 (1986).https://doi.org/PRLTAO
10. R. P. Slegtenhorst, G. Marees, H. van Beelen, Physica (Utrecht) 133B, 341 (1982).
G. Marees, H. van Beelen, Physica (Utrecht) 113B, 21 (1985).
11. M. L. Baehr, J. T. Tough, Phys. Rev. B 32, 5632 (1985).https://doi.org/PRBMDO
12. O. Avenel, E. Varoquaux, Phys. Rev. Lett. 55, 2704 (1985). https://doi.org/PRLTAO
E. Varoquaux, M. W. Meisel, O. Avenel, Phys. Rev. Lett. 57, 2291 (1986). https://doi.org/PRLTAO
B. P. Beecken, W. ZimmermannJr., to be published in Phys. Rev. B 35 (1 February 1987).https://doi.org/PRBMDO
13. J. S. Langer, M. E. Fisher, Phys. Rev. Lett. 19, 560 (1967). https://doi.org/PRLTAO
J. S. Langer, J. D. Reppy, in Progress in Low Temperature Physics, vol. 6, C. J. Gorter, ed., North Holland, Amsterdam (1970) p. 1.
14. J. M. Kosterlitz, D. V. Thouless, in Progress in Low Temperature Physics, vol. 6, D. F. Brewer, ed., North Holland, Amsterdam (1978), p. 371.
15. I. Rudnick, Phys. Rev. Lett. 40, 1454 (1978).https://doi.org/PRLTAO
16. D. J. Bishop, J. D. Reppy, Phys. Rev. B 22, 5171 (1980).https://doi.org/PRBMDO
17. V. Ambegaokar, B. I. Halperin, D. R. Nelson, E. D. Siggia, Phys. Rev. B 21, 1806 (1980).https://doi.org/PRBMDO
18. P. W. Adams, W. I. Glaberson, Phys. Rev. Lett. 57, 82 (1986).https://doi.org/PRLTAO
19. B. C. Crooker, B. Hebral, E. N. Smith, Y. Takano, J. D. Reppy, Phys. Rev. Lett. 51, 666 (1983).https://doi.org/PRLTAO
20. V. Kotsubo, G. A. Williams, Phys. Rev. B 33, 6106 (1986).https://doi.org/PRBMDO
21. P. B. Weichman, M. Rasolt, M. E. Fisher, M. J. Stephen, Phys. Rev. B 33, 4632 (1986). https://doi.org/PRBMDO
M. Ma, B. I. Halperin, P. A. Lee, Phys. Rev. B 34, 3136 (1986).https://doi.org/PRBMDO
22. G. W. Rayfield, F. Reif, Phys. Rev. 136, A1194 (1964).https://doi.org/PHRVAO
23. R. M. Bowley, P. V. E. McClintock, F. E. Moss, G. G. Nancolas, P. C. E. Stamp, Philos. Trans. R. Soc. London, Ser. A 307, 201 (1982). https://doi.org/PTRMAD
G. G. Nancolas, T. Ellis, P. V. E. McClintock, R. M. Bowley, Nature 316, 797 (1985).https://doi.org/NATUAS
24. K. W. Schwarz, P. S. Jang, Phys. Rev. A 8, 3199 (1973). https://doi.org/PLRAAN
R. M. Bowley, J. Phys. C 17, 595 (1984). https://doi.org/JPSOAW
C. M. Muirhead, W. F. Vinen, R. J. Donnelly, Philos. Trans. R. Soc. London, Ser. A 311, 433 (1984).https://doi.org/PTRMAD

More about the Authors

William I. Glaberson. Rutgers University, New Brunswick, New Jersey.

Klaus W. Schwarz. IBM Thomas J. Watson Research Center, Yorktown Heights, New York.