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.
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References
D. Pines, J. Nucl. Energy, Part C Plasma Phys. 2, 5 (1961)
D. Pines, Elementary Excitations in Solids (Perseus, 1966)
W. Masood, B. Eliasson, P.K. Shukla, Phys. Rev. E 81, 066401 (2010)
M. Opher, L.O. Silva, D.E. Dauger, V.K. Decyk, J.M. Dawson, Phys. Plasmas 8, 2454 (2001)
Y.D. Jung, Phys. Plasmas 8, 3842 (2001)
P.A. Markowich, C.A. Ringhofer, C. Schmeiser, Semiconductor Equations (Springer, Vienna, 1990)
N.C. Kluksdahl, A.M. Kriman, D.K. Ferry, C. Ringhofer, Phys. Rev. B 39, 7720 (1989)
A.A.G. Driskill-Smith, D.G. Hasko, H. Ahmed, Appl. Phys. Lett. 75, 2845 (1999)
H.G. Craighead, Science 290, 1532 (2000)
W. Li, P.J. Tanner, T.F. Gallagher, Phys. Rev. Lett. 94, 173001 (2005)
D. Kremp, T.H. Bornath, M. Bonitz, M. Schlanges, Phys. Rev. E 60, 4725 (1999)
R.H. Ritchie, Phys. Rev. 106, 874 (1957)
A.W. Trivelpiece, R.W. Gould, J. Appl. Phys. 30, 1784 (1959)
M. Marklund, P.K. Shukla, Rev. Mod. Phys. 78, 591 (2006)
R.J. Bray, L.E. Cram, C. Durrant, R.E. Loughhead, Plasma Loops in the Solar Corona (Cambridge University Press, 2005)
N.F. Cramer, L.K. Yeung, S.V. Vladimirov, Phys. Plasmas 5, 3126 (1998)
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)
R.L. Guernsey, Phys. Fluids 12, 1852 (1969)
M. Lazar, P.K. Shukla, A. Smolyakov, Phys. Plasmas 12, 2007 (2007)
B. Shokri, A.A. Rukhadze, Phys. Plasmas 6, 3450 (1999)
B.F. Mohamed, M.A. Aziz, Int. J. Plasma Sci. Eng. 2010, 693049 (2010)
B.F. Mohamed, Phys. Scr. 82, 065502 (2010)
B.F. Mohamed, S.Y. Elbakry, A.A. Salah, J. Mod. Phys. 7, 9 (2006)
J. Zhu, J. Plasma Phys. 81, 905810110 (2015)
S.M. Khorashadizadeh, S.T. Boroujeni, E. Rastbood, A.R. Niknam, Phys. Plasmas 19, 032109 (2012)
A.R. Niknam, S.T. Boroujeni, S.M. Khorashadizadeh, Phys. Plasmas 20, 122106 (2013)
G. Manfredi, Fields Inst. Commun. 46, 263 (2005)
M. Marklund, G. Brodin, Phys. Rev. Lett. 98, 025001 (2007)
G.S. Krishnaswami, R. Nityananda, A. Sen, A. Thyagaraja, Contrib. Plasma Phys. 55, 3 (2015)
G. Manfredi, J. Hurst, Plasma Phys. Controlled Fusion 57, 054004 (2015)
F.A. Asenjo, Phys. Lett. A 376, 2496 (2012)
G. Brodin, M. Marklund, New J. Phys. 9, 277 (2007)
D. Michta, F. Graziani, M. Bonitz, Contrib. Plasma Phys. 55, 437 (2015)
A.P. Misra, Phys. Rev. E 83, 057401 (2011)
M. Habibi, J.T. Mendonca, F. Ghamari, Phys. Plasmas 24, 012112 (2017)
G.A. Hoshoudy, Indian J. Phys. 90, 477 (2016)
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Majedi, S., Khorashadizadeh, S.M. & Niknam, A.R. Propagation of surface waves in a spin 1/2 magnetized collisional quantum plasma half-space. Eur. Phys. J. Plus 133, 77 (2018). https://doi.org/10.1140/epjp/i2018-11911-6
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DOI: https://doi.org/10.1140/epjp/i2018-11911-6