Abstract
At high flow rates superfluid helium exhibits dissipation in that a chemical potential gradient is necessary to drive the flow. On the basis of a specific model for the cause of this behavior a detailed relationship between the chemical potential gradient and the resultant flow is derived. Some implications of the theory with regard to recent experiments are discussed.
Similar content being viewed by others
References
H. A. Notarys,Phys. Rev. Letters 22, 1240 (1969).
M. Chester, D. R. Williams, and C. Motloch,Proceedings of the Twelfth International Conference on Low Temperature Physics, 1970, to be published.
W. M. van Alphen, G. J. Van Haasteren, R. DeBruyn Ouboter, and K. W. Taconis,Phys. Letters 20, 474 (1966); W. F. Vinen, Critical velocities in liquid helium II, inLiquid Helium, Course XXI of the International School of Physics, E. Fermi and C. Careri, eds. (Academic Press, New York, 1963).
P. P. Craig,Phys. Letters 21, 385 (1966).
J. S. Langer,Ann. Phys. 54, 254 (1969);Phys. Rev. 167, 183 (1968); J. S. Langer and V. Ambegoakar,Phys. Rev. 164, 498 (1967).
M. E. Fisher, inProceedings of the International Conference on Fluctuations in Superconductors, Asilomar, California, 1968, W. S. Goree and F. Chilton, eds. (Stanford Research Institute, Menlo Park, Calif., 1968).
J. S. Langer and J. D. Reppy, Intrinsic critical velocities in superfluid helium, inProgress in Low Temperature Physics, Vol. VI, C. J. Gorter, ed. (North Holland, Amsterdam, 1970).
S. V. Iordanskii,Zh. Eksperim. i. Teor. Fiz. 48, 708 (1965) [English transl.,Soviet Phys.—JETP 21, 467 (1965)].
R. J. Donnelly and P. H. Roberts,Proc. Roy. Soc. (London),A312, 519 (1969).
P. H. Roberts and R. J. Donnelly,Phys. Rev. Letters 24, 367 (1970).
G. W. Rayfield and F. Reif,Phys. Rev. 136, A1194 (1964).
P. W. Anderson,Rev. Mod. Phys. 38, 298 (1966).
E. R. Huggins,Phys. Rev. A1, 327 (1970).
E. R. Huggins,Phys. Rev. A1, 332 (1970).
L. D. Landau and E. M. Liftshitz,Fluid Mechanics (Addison-Wesley, Reading, Mass., 1959).
F. London,Superfluids (John Wiley and Sons, New York, 1954), Vol. 2, p. 130.
R. Meservey,Phys. Fluids 8, 1209 (1965).
G. Lamb,Hydrodynamics (Dover Publications, New York, 1945), Chap. VII.
P. H. Roberts and R. J. Donnelly,Phys. Letters 31A, 137 (1970).
L. D. Landau and E. M. Lifshitz,Statistical Physics (Addison-Wesley, Reading, Mass, 1958).
S. Chandrasekhar,Rev. Mod. Phys. 15, 1 (1943).
G. E. Uhlenbeck and L. S. Ornstein,Phys. Rev. 36, 823 (1930).
M. G. Wang and G. E. Uhlenbeck,Rev. Mod. Phys. 17, 323 (1945).
H. A. Kramers,Physica 7, 284 (1940).
W. E. Keller and E. F. Hammel,Physics 2, 221 (1966).
M. Kriss and I. Rudnick,J. Low Temp. Phys. 3, 339 (1970); M. Kriss, thesis, University of California, Los Angeles, 1969).
K. W. Wong,Proceedings of the Twelfth International Conference on Low Temperature Physics, 1970, to be published.
D. R. Williams, thesis, University of California, Los Angeles, 1970.
Author information
Authors and Affiliations
Additional information
National Science Foundation Undergraduate Research Participant
Rights and permissions
About this article
Cite this article
Chester, M., Ziff, R. Flow dissipation equation in liquid helium II. J Low Temp Phys 5, 285–311 (1971). https://doi.org/10.1007/BF00629706
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00629706