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Texture and hydrodynamics of a thin slab of superfluid3He-A in a torsional oscillator. I. Theory

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Abstract

The calculation of the texture of superfluid3He-A in a thin slab geometry in the presence of a uniform applied magnetic field is discussed. Dipole-unlocking effects are included and various possible textures are found including one which contains solitons. Such textures can be investigated by including the slab within a torsional oscillator. Solutions for the hydrodynamic equations of3He-A for this situation are obtained by making reasonable approximations and assumptions. A novel feature of the solutions is the existence of oscillatory superflow, which is necessary to achieve mass conservation in an anisotropic superfluid.

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References

  1. J. R. Hook, A. D. Eastop, E. Faraj, S. G. Gould, and H. E. Hall,Phys. Rev. Lett. 57, 1749 (1986).

    Google Scholar 

  2. J. R. Hook, A. D. Eastop, E. Faraj, S. G. Gould, and H. E. Hall,Can. J. Phys. 65, 1486 (1987).

    Google Scholar 

  3. J. R. Hook, H. E. Hall, S. G. Gould, and E. Faraj,Jpn. J. Appl. Phys. (Suppl. 3)26, 141 (1987).

    Google Scholar 

  4. W. F. Brinkman and M. C. Cross, inProgress in Low Temperature Physics, Volume 7A, D. F. Brewer, ed. (North-Holland, Amsterdam, 1978).

    Google Scholar 

  5. A. L. Fetter,Phys. Rev. B 15, 1350 (1977).

    Google Scholar 

  6. A. D. Booth,Numerical Methods (Butterworths, London, 1957).

    Google Scholar 

  7. K. Maki and P. Kumar,Phys. Rev. Lett. 38, 557 (1977).

    Google Scholar 

  8. J. R. Hook and H. E. Hall,J. Phys. C12, 783 (1979).

    Google Scholar 

  9. R. C. M. Dow and J. R. Hook,Phys. Rev. Lett. 55, 2305 (1985).

    Google Scholar 

  10. M. C. Cross and P. W. Anderson, inLow Temperature Physics-LT14, Volume 1, M. Krusius and M. Vuorio, eds. (North-Holland, Amsterdam, 1975), p. 29.

    Google Scholar 

  11. R. Gay, M. Bagley, J. R. Hook, D. J. Sandiford, and H. E. Hall,J. Low Temp. Phys. 51, 227 (1983).

    Google Scholar 

  12. E. L. Andronikashvili,Zh. Eksp. Teor. Fiz. 16, 780 (1946);18, 424 (1948).

    Google Scholar 

  13. C. N. Archie, T. A. Alvesalo, J. D. Reppy, and R. C. Richardson,J. Low Temp. Phys. 42, 295 (1981).

    Google Scholar 

  14. N. D. Mermin and T.-L. Ho,Phys. Rev. Lett. 36, 594 (1976).

    Google Scholar 

  15. K. Miyake, H. Takagi, T. Usui,Prog. Theor. Phys. 65, 1115 (1981).

    Google Scholar 

  16. K. Nagai,J. Low. Temp. Phys. 38, 677 (1980).

    Google Scholar 

  17. M. Liu and M. C. Cross,Phys. Rev. Lett. 43, 296 (1979).

    Google Scholar 

  18. D. C. Carless, H. E. Hall, and J. R. Hook,J. Low Temp. Phys. 50, 605 (1983).

    Google Scholar 

  19. R. Combescot,Phys. Rev. B12, 4839 (1975).

    Google Scholar 

  20. P. Wölfle, inProgress in Low Temperature Physics, Volume 7A, D. F. Brewer, ed. (North-Holland, Amsterdam, 1978).

    Google Scholar 

  21. C. Kittel,Introduction to Solid State Physics, 4th Edition (Wiley, New York, 1971).

    Google Scholar 

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Hook, J.R. Texture and hydrodynamics of a thin slab of superfluid3He-A in a torsional oscillator. I. Theory. J Low Temp Phys 74, 19–44 (1989). https://doi.org/10.1007/BF00681751

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