Abstract
We examine the possibility of using NMR and other measurements on very weak solutions of3He in liquid4He to investigate the superfluid phase transition. It is found that even for these very weak solutions the mass (D m) and spin (D s) diffusion coefficients associated with the3He behave in radically different ways:D m is predicted to diverge asT approaches Tλ from above as (T−Tλ)−1/3, while the behavior ofD s depends on the type of experiment, and for the ordinary spin-echo type has no particular singularity.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
G. Ahlers,Phys. Rev. Letters 21, 1159 (1968).
M. E. Fisher,Phys. Rev. 176, 257 (1968).
R. B. Griffiths and J. C. Wheeler,Phys. Rev. A2, 1047 (1970).
F. Gasparini and M. R. Moldover,Phys. Rev. Letters 23, 749 (1969).
M. A. Eggington, D.Phil. thesis, Sussex University, 1970, unpublished.
M. J. Buckingham and W. H. Fairbank,Progress in Low Temperature Physics, Vol. 3, C. J. Gorter, ed. (North-Holland, Amsterdam, 1961), p. 80.
R. Hamilton, D.Phil. thesis, Oxford University, 1969, unpublished; J. Hatton, private communication.
D. C. Chang and H. E. Rorschach,Proceedings of LT12 (Organizing Committee, Kyoto, Japan, 1970).
L. Landau and E. Lifshitz,Fluid Mechanics (Pergamon Press, Oxford, 1959), Chap. 6.
L. Landau and E. Lifshitz,Fluid Mechanics (Pergamon Press, Oxford, 1959), Chap. 12.
I. Khalatnikov,An Introduction to the Theory of Superfluidity (Benjamin, New York, 1965).
B. I. Halperin and P. C. Hohenberg,Phys. Rev. 188, 898 (1969).
B. N. Ganguly and A. Griffin,Can. J. Phys. 46, 1895 (1968).
L. Landau and E. Lifshitz,Statistical Physics (Pergamon Press, London, 1969), Chap. 9.
B. I. Halperin and P. C. Hohenberg,Phys. Rev. 177, 952 (1969).
G. Ahlers,Phys. Rev. Letters 24, 1333 (1970).
A. Griffin,Can. J. Phys. 47, 429 (1969).
A. Abragam,The Principles of Nuclear Magnetism (Clarendon Press, New York, 1961).
H. C. Torrey,Phys. Rev. 104, 563 (1956).
R. L. Garwin and H. A. Reich,Phys. Rev. 115, 1478 (1959).
D. L. Husa, D. O. Edwards, and J. R. Gaines,Proceedings of LT10 (Organizing Committee, St. Andrews, Scotland, 1966).
A. J. Leggett,J. Phys. C 3, 448 (1970).
A. J. Leggett and M. J. Rice,Phys. Rev. Letters 20, 586 (1968).
Author information
Authors and Affiliations
Additional information
Based on a D.Phil. thesis submitted to the University of Sussex by M. A. Eggington.
Rights and permissions
About this article
Cite this article
Eggington, M.A., Leggett, A.J. Mass and spin diffusion near the λ line in dilute3He-4He mixtures. J Low Temp Phys 5, 275–284 (1971). https://doi.org/10.1007/BF00629705
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00629705