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Propagation of surface waves in a spin 1/2 magnetized collisional quantum plasma half-space

  • S. Majedi
  • S. M. Khorashadizadeh
  • A. R. Niknam
Regular Article

Abstract.

The quantum magnetohydrodynamics model, including the correction terms of the Bohm potential, quantum pressure, collision and intrinsic spin of electrons, is employed to investigate the propagation of surface waves in a semi-bounded spin 1/2 magnetized collisional quantum plasma. The parametric equation method is used to derive the highly nonlinear dispersion relation. Furthermore, the exact dispersion relation is solved numerically. It is shown that the external magnetic field increases the group and phase velocities of the surface waves in both collisionless and collisional quantum plasma, while the spin contribution leads to a decrease in the phase velocity. In the collisional quantum plasma, the damping rate of the surface waves is increased by the external magnetic field and the spin of the electrons.

References

  1. 1.
    D. Pines, J. Nucl. Energy, Part C Plasma Phys. 2, 5 (1961)CrossRefGoogle Scholar
  2. 2.
    D. Pines, Elementary Excitations in Solids (Perseus, 1966)Google Scholar
  3. 3.
    W. Masood, B. Eliasson, P.K. Shukla, Phys. Rev. E 81, 066401 (2010)ADSCrossRefGoogle Scholar
  4. 4.
    M. Opher, L.O. Silva, D.E. Dauger, V.K. Decyk, J.M. Dawson, Phys. Plasmas 8, 2454 (2001)ADSCrossRefGoogle Scholar
  5. 5.
    Y.D. Jung, Phys. Plasmas 8, 3842 (2001)ADSCrossRefGoogle Scholar
  6. 6.
    P.A. Markowich, C.A. Ringhofer, C. Schmeiser, Semiconductor Equations (Springer, Vienna, 1990)Google Scholar
  7. 7.
    N.C. Kluksdahl, A.M. Kriman, D.K. Ferry, C. Ringhofer, Phys. Rev. B 39, 7720 (1989)ADSCrossRefGoogle Scholar
  8. 8.
    A.A.G. Driskill-Smith, D.G. Hasko, H. Ahmed, Appl. Phys. Lett. 75, 2845 (1999)ADSCrossRefGoogle Scholar
  9. 9.
    H.G. Craighead, Science 290, 1532 (2000)ADSCrossRefGoogle Scholar
  10. 10.
    W. Li, P.J. Tanner, T.F. Gallagher, Phys. Rev. Lett. 94, 173001 (2005)ADSCrossRefGoogle Scholar
  11. 11.
    D. Kremp, T.H. Bornath, M. Bonitz, M. Schlanges, Phys. Rev. E 60, 4725 (1999)ADSCrossRefGoogle Scholar
  12. 12.
    R.H. Ritchie, Phys. Rev. 106, 874 (1957)ADSMathSciNetCrossRefGoogle Scholar
  13. 13.
    A.W. Trivelpiece, R.W. Gould, J. Appl. Phys. 30, 1784 (1959)ADSCrossRefGoogle Scholar
  14. 14.
    M. Marklund, P.K. Shukla, Rev. Mod. Phys. 78, 591 (2006)ADSCrossRefGoogle Scholar
  15. 15.
    R.J. Bray, L.E. Cram, C. Durrant, R.E. Loughhead, Plasma Loops in the Solar Corona (Cambridge University Press, 2005)Google Scholar
  16. 16.
    N.F. Cramer, L.K. Yeung, S.V. Vladimirov, Phys. Plasmas 5, 3126 (1998)ADSCrossRefGoogle Scholar
  17. 17.
    J. Hubert, S. Bordeleau, K.C. Tran, S. Michaud, B. Milette, R. Sing, J. Jalbert, D. Boudreau, M. Moisan, J. Margot, Fresenius J. Anal. Chem. 355, 494 (1996)Google Scholar
  18. 18.
    R.L. Guernsey, Phys. Fluids 12, 1852 (1969)ADSCrossRefGoogle Scholar
  19. 19.
    M. Lazar, P.K. Shukla, A. Smolyakov, Phys. Plasmas 12, 2007 (2007)Google Scholar
  20. 20.
    B. Shokri, A.A. Rukhadze, Phys. Plasmas 6, 3450 (1999)ADSCrossRefGoogle Scholar
  21. 21.
    B.F. Mohamed, M.A. Aziz, Int. J. Plasma Sci. Eng. 2010, 693049 (2010)CrossRefGoogle Scholar
  22. 22.
    B.F. Mohamed, Phys. Scr. 82, 065502 (2010)ADSCrossRefGoogle Scholar
  23. 23.
    B.F. Mohamed, S.Y. Elbakry, A.A. Salah, J. Mod. Phys. 7, 9 (2006)Google Scholar
  24. 24.
    J. Zhu, J. Plasma Phys. 81, 905810110 (2015)CrossRefGoogle Scholar
  25. 25.
    S.M. Khorashadizadeh, S.T. Boroujeni, E. Rastbood, A.R. Niknam, Phys. Plasmas 19, 032109 (2012)ADSCrossRefGoogle Scholar
  26. 26.
    A.R. Niknam, S.T. Boroujeni, S.M. Khorashadizadeh, Phys. Plasmas 20, 122106 (2013)ADSCrossRefGoogle Scholar
  27. 27.
    G. Manfredi, Fields Inst. Commun. 46, 263 (2005)Google Scholar
  28. 28.
    M. Marklund, G. Brodin, Phys. Rev. Lett. 98, 025001 (2007)ADSCrossRefGoogle Scholar
  29. 29.
    G.S. Krishnaswami, R. Nityananda, A. Sen, A. Thyagaraja, Contrib. Plasma Phys. 55, 3 (2015)ADSCrossRefGoogle Scholar
  30. 30.
    G. Manfredi, J. Hurst, Plasma Phys. Controlled Fusion 57, 054004 (2015)ADSCrossRefGoogle Scholar
  31. 31.
    F.A. Asenjo, Phys. Lett. A 376, 2496 (2012)ADSCrossRefGoogle Scholar
  32. 32.
    G. Brodin, M. Marklund, New J. Phys. 9, 277 (2007)CrossRefGoogle Scholar
  33. 33.
    D. Michta, F. Graziani, M. Bonitz, Contrib. Plasma Phys. 55, 437 (2015)ADSCrossRefGoogle Scholar
  34. 34.
    A.P. Misra, Phys. Rev. E 83, 057401 (2011)ADSCrossRefGoogle Scholar
  35. 35.
    M. Habibi, J.T. Mendonca, F. Ghamari, Phys. Plasmas 24, 012112 (2017)ADSCrossRefGoogle Scholar
  36. 36.
    G.A. Hoshoudy, Indian J. Phys. 90, 477 (2016)ADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Physics DepartmentUniversity of BirjandBirjandIran
  2. 2.Laser and Plasma Research InstituteShahid Beheshti UniversityTehranIran

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