Abstract
We present an analysis of recent data on friction and drag on quantized vortices in helium II. From these data, we deduce values of the phenomenological and microscopic coefficients of friction on vortex lines and rings over a wide range of temperatures at the saturated vapor pressure. We demonstrate that the microscopic parameters are unusually sensitive to the input data. We include brief discussions of the vortex core parameter, and present the results of precision fits of a number of thermodynamic and transport properties of He II which are used in mutual friction calculations.
Similar content being viewed by others
References
G. W. Rayfield and F. Reif,Phys. Rev. 136, A1194 (1964).
H. E. Hall and W. F. Vinen,Proc. R. Soc. A 238, 204 (1956).
H. E. Hall and W. f. Vinen,Proc. R. Soc. A 238, 215 (1956).
H. E. Hall,Philos. Mag. Suppl. 9, 89 (1960).
P. H. Roberts and R. J. Donnelly,Annu. Rev. Fluid Mech. 6, 179 (1974).
C. J. Gorter and J. H. Mellink,Physica 15, 285 (1949).
A. J. Hillel, H. E. Hall, and P. Lucas,J. Phys. C 7, 3341 (1974).
P. Lucas,J. Phys. C 3, 1180 (1970).
A. J. Hillel,J. Phys. C 14, 4027 (1981).
C. J. T. Sewell,Philos. Trans. A 210, 239 (1910).
E. M. Lifshitz and L. P. Pitaevskii,Zh. Eksp. Teor. Fiz. 33, 535 (1957) [Sov. Phys. JETP 6, 418 (1958)].
S. V. Iordanskii,Ann. Phys. (N. Y.)29, 335 (1964);Phys. Lett. 15, 34 (1965);Zh. Eksp. Teor. Fiz. 49, 125 (1965) [Sov. Phys. JETP 22, 160 (1966)].
R. J. Donnelly, J. A. Donnelly, and R. N. Hills,J. Low Temp. Phys. 44, 471 (1981).
P. Mathieu, A. Serra, and Y. Simon,Phys. Rev. B 14, 3753 (1976).
R. J. Miller, I. H. Lynall, and J. B. Mehl,Phys. Rev. B 17, 1035 (1978); J. B. Mehl,Phys. Rev. A 10, 601 (1974); J. B. Mehl, private communication.
P. Mathieu and Y. Simon,Phys. Rev. B 26, 1233 (1982).
P. J. Bendt,Phys. Rev. 153, 280 (1967).
J. A. Lipa, C. J. Pearce, and P. D. Jarman,Phys. Rev. 155, 75 (1967).
H. A. Synder,Phys. Fluids 6, 755 (1963).
H. A. Snyder and Z. Putney,Phys. Rev. 150, 110 (1966).
H. A. Snyder and D. M. Linekin,Phys. Rev. 147, 131 (1966).
J. D. P. Van Dijk,Ion-Vortex Ring Complexes in Liquid He-II, Ph.D. thesis, Leiden (1977);Physica 125B, 1 (1977).
W. F. Vinen,Proc. R. Soc. A 240, 114, 128 (1957);242, 493 (1957);243, 400 (1957).
J. T. Tough, inProgress in Low Temperature Physics, D. F. Brewer, ed. (North-Holland, Amsterdam, 1982), Vol. VIII.
D. R. Ladner and J. T. Tough,Phys. Rev. B 20, 2690 (1979).
M. Steingart and W. I. Glaberson,J. Low Temp. Phys. 8, 61 (1972).
G. A. Williams and R. E. Packard,Phys. Rev. Lett. 33, 280 (1974).
W. I. Glaberson,J. Low Temp. Phys. 1, 289 (1969).
P. H. Roberts and R. J. Donnelly,Phys. Lett. 31A, 137 (1970).
W. F. Vinen, inQuantum Fluids, D. F. Brewer, ed. (North-Holland, Amsterdam, 1966), p. 74.
W. I. Glaberson, D. M. Strayer, and R. J. Donnelly,Phys. Rev. Lett. 21, 1740 (1968).
R. N. Hills and P. H. Roberts,Int. J. Eng. Sci. 15, 305 (1977).
R. N. Hills and P. H. Roberts,J. Low Temp. Phys. 30, 709 (1978).
R. N. Hills and P. H. Roberts,J. Phys. C 11, 4485 (1978).
P. H. Roberts, R. N. Hills, and R. J. Donnelly,Phys. Lett. 70A, 437 (1979).
G. Ihas and F. Pobell,Phys. Rev. A 9, 1278 (1974).
P. H. Roberts and R. N. Hills, private communication.
I. M. Khalatnikov,An Introduction to the Theory of Superfluidity (Benjamin, New York, 1965).
A. D. B. Woods and A. C. Hollis Hallett,Can. J. Phys. 41, 4 (1963).
J. T. Tough, W. D. McCormick, and J. G. Dash,Phys. Rev. 132, 2373 (1963).
J. M. Goodwin, Ph.D. thesis, University of Washington (1968).
G. Ahlers, inThe Physics of Liquid and Solid Helium, K. H. Benneman and J. B. Ketterson, eds. (Wiley, New York, 1976), Chapter 2, p. 177.
J. Maynard,Phys. Rev. B 14, 3868 (1976).
C. T. Van Degrift, Ph.D. Thesis, University of California, Irvine (1974).
D. Greywall and G. Ahlers,Phys. Rev. A 7, 2145 (1973).
S. V. Iordanskii,Zh. Eksp. Teor. Fiz. 48, 708 (1965) [Sov. Phys. JETP 21, 467 (1965)].
V. Ambegaokar, B. I. Halperin, D. R. Nelson, and E. D. Siggia,Phys. Rev. B 21, 1806 (1980).
R. J. Donnelly and P. H. Roberts,Philos. Trans. R. Soc. A 271, 41 (1971).
K. W. Schwarz,Phys. Rev. B 18, 245 (1978).
E. J. Yarmchuk and W. I. Glaberson,J. Low Temp. Phys. 36, 381 (1979).
A. J. Hillel and W. F. Vinen, to be published.
E. Chandler, Ph.D. Thesis, University of Illinois at Urbana-Champaign (1981).
W. Y. Tam and Guenter Ahlers,Phys. Lett. A 38A, 183 (1972).
R. A. Ashton and J. A. Northby,Phys. Rev. Lett. 35, 1714 (1975).
Author information
Authors and Affiliations
Additional information
Research supported by NSF Low Temperature Physics Program Grant DMR 81-17570.
Rights and permissions
About this article
Cite this article
Barenghi, C.F., Donnelly, R.J. & Vinen, W.F. Friction on quantized vortices in helium II. A review. J Low Temp Phys 52, 189–247 (1983). https://doi.org/10.1007/BF00682247
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00682247