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Journal of Low Temperature Physics

, Volume 137, Issue 5–6, pp 625–654 | Cite as

Spin-Orbital Dynamics in the B-Phase of Superfluid Helium-3

  • Y. M. Bunkov
  • V. L. Golo
Article

Abstract

We report numerical calculations on the spin–orbital dynamics of 3He-B within the formalism of Poisson brackets with the two-fluid model by Leggett and Takagi. We incorporate an additional orbital term in the equations for the spin–orbit dynamics which plays an important role at very low temperatures, when the damping of orbit dynamics is small. We also find that, under the relevant experimental conditions, the Brinkman–Smith mode is strongly modified by the orbital dynamics. The orbital momentum does not relax completely to the direction of magnetic field, but remains significantly deflected, particularly at very low temperatures, and precesses at the dipole–dipole frequency and nutate at the NMR frequency. We report numerical calculations of the spin–orbit dynamics in the spatially inhomogeneous case. We solved for the mode of precession near the walls of the experimental cell, which significantly deviates from that, obtained in theoretical calculations in previous publications. We also identified the mechanism of instability of homogeneous precession at very low temperatures, the exponential growth of textural-spin waves of the longitudinal mode of NMR.

superfluidity 3He NMR 

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REFERENCES

  1. 1.
    A. J. Leggett and S. Takagi, Ann.Phys. 106, 79 (1977); 110, 353 (1978).Google Scholar
  2. 2.
    M. C. Cross, J. Low Temp. Phys. 26, 165 (1977).Google Scholar
  3. 3.
    M. C. Cross, J. Low Temp. Phys. 21, 525 (1975).Google Scholar
  4. 4.
    A. J. Leggett, Rev. Mod. Phys. 47, 331 (1975).Google Scholar
  5. 5.
    Y. M. Bunkov, V. V. Dmitriev, A. M. Markelov, Y. M. Mukharsky, and D. Einzel, Phys.Rev. Lett. 65, 867 (1990).Google Scholar
  6. 6.
    W. F. Brinkman and H. Smith, Phys. Lett. A 53, 43 (1975).Google Scholar
  7. 7.
    I. A. Fomin, in Helium Three, W. P. Halperin and L. P. Pitaevsky (ed). Elsevier (1995).Google Scholar
  8. 8.
    A. S. Borovik-Romanov, Y. M. Bunkov, V. V. Dmitriev, and Y. M. Mukharsky, JETP Lett. 40, 1033 (1984).Google Scholar
  9. 9.
    Y. M. Bunkov, in Progress in Low Temperature Physics W. Halperin (ed.), Elsevier (1995).Google Scholar
  10. 10.
    Y. M. Bunkov, V. V. Dmitriev, Y. M. Mukharsky, J. Nyeki, and D. A. Sergatskov, Europhys. Lett. 8, 645 (1989).Google Scholar
  11. 11.
    Y. M. Bunkov, S. N. Fisher, A. M. Guénault, and G. R. Pickett, Phys. Rev. Lett. 69, 3092 (1992).Google Scholar
  12. 12.
    A. S. Chen, Y. M. Bunkov, H. Godfrin, R. Schanen, and F. Scheffer. J. Low Temp. Phys. 110, 51 (1998).Google Scholar
  13. 13.
    D. D. Osheroff and L. R. Corrucini, in Proceeding LT-14 M. Krusius and M. Vuorio (ed.), North Holland (1975).Google Scholar
  14. 14.
    P. M. A. Dirac, The Principles of Quantum Mechanics, Oxford University Press (1958).Google Scholar
  15. 15.
    J. Schwinger, Quantum Kinematics and Dynamics, Addison-Wesley, Reading (MA. (1991)).Google Scholar
  16. 16.
    H. Goldstein, Classical Mechanics, Addison-Wesley, Reading (MA (1980)).Google Scholar
  17. 17.
    V. L. Golo and A. A. Leman, J. Low Temp. Phys. 80, 99 (1990).Google Scholar
  18. 18.
    V. L. Golo and A. A. Leman, in Helium Three, W. P. Halperin and L. P. Pitaevskii (ed.), Elsevier Science (1990).Google Scholar
  19. 19.
    Y. M. Bunkov, O. D. Timofeevskaya, and G. E. Volovik, Phys. Rev. Lett. 73, 1817 (1994).Google Scholar
  20. 20.
    P. Skyba, R. Harakaly, L. Lokner, and A. Feher, Phys. Rev. Lett. 75, 477 (1995).Google Scholar
  21. 21.
    Y. M. Bunkov, V. L. Golo, and O. D. Timofeevskaya, Czechoslovak J. Phys. 46, 213 (1996).Google Scholar
  22. 22.
    Y. M. Bunkov, V. V. Dmitriev, Y. M. Mukharsky, J. Nyeki, D. A. Sergatskov, and I. A. Fomin, Physica B 165, 675 (1990).Google Scholar
  23. 23.
    Y. M. Bunkov, J. Low Temp. Phys. 135, 337 (2004).Google Scholar
  24. 24.
    I. A. Fomin, JETP Lett. 39, 466 (1984); A. S. Borovik-Romanov, Y. M. Bunkov, V. V. Dmitriev, and Y. M. Mukharsky, JETP Lett. 39, 469 (1984).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2004

Authors and Affiliations

  • Y. M. Bunkov
    • 1
  • V. L. Golo
    • 1
    • 2
  1. 1.Centre de Recherches sur les Très Basses TempératuresCentre National de la Recherche ScientifiqueCedex 9France
  2. 2.Department of Mechanics and MathematicsMoscow State UniversityMoscowRussia (

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