Abstract
The instability of two non-relativistic non-parallel electron-proton plasma shells in quantum plasma is investigated when the perturbation wave propagates perpendicular to the direction of one of the shells. It is assumed that the ions are not affected by the perturbation. The full three-dimensional dispersion tensor is derived by the fluid-Maxwell equations and the dispersion equation has been solved numerically. It is shown that two kinds of instability, the two-stream instability and the filamentation instability, may occur in the system. The effects of the angle between two plasma shells on the growth rate of instabilities and the cut-off wave number have been illustrated.
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Appendix
Appendix
We report here then on zero elements of the dielectric tensor defined in Eq. (3):
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Mehdian, H., Hasanbeigi, A. & Hajisharifi, K. The instability of two non-parallel plasma shells in quantum plasma. Astrophys Space Sci 346, 421–430 (2013). https://doi.org/10.1007/s10509-013-1479-1
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DOI: https://doi.org/10.1007/s10509-013-1479-1