Abstract
The attenuation of second sound (spin-entropy) wave in superfluid A 1 -phase has been measured in magnetic fields up to 11 tesla and to sufficiently high frequency to observe the bulk attenuation proportional to the square of frequency. A comprehensive test on the existing theories of hydrodynamics and dissipative coefficients can be made with the measured attenuation coefficient. The spin diffusion coefficient plays a major role in the attenuation. The observed “excess” attenuation is discussed in terms of the temperature dependent spin diffusion coefficient in the superfluid.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
M. Liu, Phys. Rev. Lett., 43, 1740(1979). In the formula, ρ s is the superfluid component density, ρ n the normal component density, ρ the total density, χ magnetic susceptibility, γ the gyromagnetic ratio and m the mass of 3He.
L.R. Corruccini and D.D. Osheroff, Phys. Rev. Lett., 45, 2029(1980).
M. Bastea, Y. Okuda, V. Labella and H. Kojima, Phys. Rev. Lett., 73, 1126(1994).
P.G.N. deVegvar, K. Ichikawa and H. Kojima, Phys. Rev. Lett., 83, 1806(1999).
M. Grabinski and M. Liu, J. Low Temp. Phys. 78, 247(1990); M. Grabinski, Dissertation(unpublished), Universtität Hannover (1987). See also K. Nagai, Physica 108B, 1151(1981).
H. Kojima, Handbook of Elastic Properties of Solids, Liquids and Gases, vol. IV(2001), edited by M. Levy, et al., Academic Press, New York.
T. Sato, et al., Phys. Rev. Lett., 84, 1515(2000).
J. J. Coleman, Y. Okuda and H. Kojima, J. Low Temp. Phys., 113, 699(1998).
S. T. Lu, Q. Jiang and H. Kojima, Phys. Rev. Lett., 62, 1639(1989).
U. E. Israelsson, et al., Phys. Rev. Lett. 53, 1943(1984).
D. S. Greywall, Phys. Rev. B33, 7520(1986).
S. J. Putterman, Superfluid Hydrodynamics, North-Holland, Amsterdam, 1974.
See M. Masuhara, et al., Phys. Rev. Lett. 53, 1168(1984) for spin wave propagation experiments in collisionless regimes in A1 phase.
See R. Combescot, Phys. Rev. Lett. 34, 8(1975) and D. Vollhardt and P. Wölfle, The Superfluid Phases of Helium-3, Taylor and Francis, London, 1990 for discussions of D in A and B phases.
J. C. Wheatley, Rev. Mod. Phys. 47, 415(1975).
J. C. Wheatley, Quantum Fluids, North-Holland, Amsterdam, 1966.
L. P. Roobol, et al., Phys. Rev. Lett. 79, 685(1997).
D. Einzel, J. Low Temp. Phys. 54, 427(1984). See Fig. 11.
The theory19 of ζ 3 is in good agreement with experiment, D. C. Carless, H. E. Hall and J. R. Hook, J. Low Temp. Phys. 50, 605(1983).
Near to T c1, ζ 3 scales as the inverse of the energy gap, Δ−1.15 For our purpose, the energy gap of A1 phase at p = 23 bar is estimated as Δ A1/ΔB ≈ Δ A1/ΔA = \(\sqrt {\Delta \Gamma _{A1} /\Delta \Gamma _A }\) = 0.60, where ΔΓ A1 is the measured specific heat jump at T c1 at melting pressure in 0.88 tesla[W. P. Halperin, et al., Phys. Rev. B13, 2124(1976)] and ΔΓA is the measured specific heat jump near melting pressure in zero field[T. A. Alvesalo, et al., Phys. Rev. Lett. 44, 1076(1980)].
D. Einzel, Physica 108B, 1143(1981).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sato, T., Coleman, J.J., de Vegvar, P.G.N. et al. Dissipative Coefficients of Spin-Polarized Superfluid 3He. Journal of Low Temperature Physics 126, 545–550 (2002). https://doi.org/10.1023/A:1013763016994
Published:
Issue Date:
DOI: https://doi.org/10.1023/A:1013763016994