Abstract
This paper presents the analysis of dispersion equation for transverse waves in magnetized electron–positron–ion plasma in which electrons and positrons are counter streaming parallel to the magnetic field. The dispersion relation is derived through the separate spin evolution-quantum hydrodynamic (SSE–QHD) model. We find that the electron–positron dynamics taking account of the SSE for each species reveals the existence of new stable modes with no classical counterpart. Further, we report for the first time the existence of a new positron streaming driven transverse mode. The streaming effect enhances the instability in the electron–positron–ion plasma as compared to the electron–ion plasma. Moreover, it is found that both the positron imbalance and the streaming effects enhance the instability while the spin polarization suppresses it. The relevance of the present work for astrophysical e–p–i plasmas is also discussed.
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Akbari-Moghanjoughi, M.: Phys. Plasmas 17, 082315 (2010)
Ali, S., Shukla, P.K.: Eur. Phys. J. D 41, 319 (2007)
Andreev, P.A.: Phys. Rev. E 91, 033111 (2015a)
Andreev, P.A.: Ann. Phys. 361, 278 (2015b)
Andreev, P.A.: Phys. Plasmas 22, 062113 (2015)
Andreev, P.A.: Phys. Plasmas 23, 012106 (2016)
Andreev, P.A., Iqbal, Z.: Phys. Rev. E 93, 033209 (2016)
Andreev, P.A., Kuz’menkov, L.S.: Appl. Phys. Lett. 108, 191605 (2016a)
Andreev, P.A., Kuz’menkov, L.S.: Eur. Phys. Lett. 113, 17001 (2016b)
Andreev, P.A., Polyakov, P.A., Kuz’menkov, L.S.: Phys. Plasmas 24, 102103 (2017)
Asenjo, F.A., Zamanian, J., Marklund, M., Brodin, G., Johansson, P.: New J. Phys. 14, 073042 (2012)
Asseo, E., Pellat, R., Rosado, M.: Astrophys. J. 239, 661 (1983)
Begelman, M.C., Blandford, R.D., Rees, M.D.: Rev. Mod. Phys. 56, 255 (1984)
Benford, G., Buschauer, R.: Mon. Not. R. Astron. Soc. 179, 189 (1977)
Boyd, G.D., Field, L.M., Gould, R.W.: Phys. Rev. 109, 1393 (1958)
Brodin, G., Marklund, M., Zamanian, J., Ericsson, A., Mana, P.L.: Phys. Rev. Lett. 101, 245002 (2008)
Bunemann, O.: Phys. Rev. Lett. 1, 8 (1958)
Burns, M.L.: In: Burns, M.L., Harding, A.K., Ramaty, R. (eds.) Positron-Electron Pairs in Astrophysics, p. 281. American Institute of Physics, New York (1983)
Cheng, A.F., Ruderman, M.A.: Astrophys. J. 212, 800 (1977)
Fleming, T.P., Stone, J.M., Hawley, J.F.: Astrophys. J. 530, 464 (2000)
Gibbons, G.W., Hawking, S.W., Siklos, S.: The Very Early Universe. Cambridge University Press, Cambridge (1983)
Ginzburg, V.L.: Sov. Phys. Usp. 14, 83 (1971)
Haas, F., Eliasson, B.: Phys. Scr. 90, 088005 (2015)
Harding, A.K., Lai, D.: Rep. Prog. Phys. 69, 2631 (2006)
Hass, F., Manfredi, G., Feix, M.: Phys. Rev. E 62, 2763 (2000)
Hass, F., Manfredi, G., Goedert, J.: Braz. J. Phys. 33, 128 (2003)
Hussain, A., Stefan, M., Brodin, G.: Phys. Plasmas 21, 032104 (2014)
Hussaina, A., Iqbal, Z., Brodin, G., Murtaza, G.: Phys. Lett. A 377, 2131 (2013)
Iqbal, Z., Andreev, P.A.: Phys. Plasmas 23, 062320 (2016)
Iqbal, Z., Murtaza, G.: Phys. Plasmas 24, 112113 (2017)
Iqbal, Z., Murtaza, G.: Phys. Lett. A 382, 44 (2018)
Iqbal, Z., Hussain, A., Murtaza, G., Ali, M.: Phys. Plasmas 21, 122118 (2014)
Iqbal, Z., Murtaza, G., Hussain, A.: Commun. Theor. Phys. 68, 791 (2017)
Iqbal, Z., Jamil, M., Murtaza, G.: Phys. Plasmas 25, 042106 (2018a)
Iqbal, Z., Khan, I.A., Murtaza, G.: Phys. Plasmas 25, 062121 (2018b)
Iqbal, Z., Andreev, P.A., Murtaza, G.: Phys. Plasmas 25, 052110 (2018c)
Iqbal, Z., Khanum, U., Murtaza, G.: Contrib. Plasma Phys. (2018d). https://doi.org/10.1002/ctpp.201800075
Iwamoto, N.: Phys. Rev. E 47, 604 (1993)
Kuz’menkov, L.S., Maksimov, S.G., Fedoseev, V.V.: Theor. Math. Phys. 126, 110 (2001a)
Kuz’menkov, L.S., Maksimov, S.G., Fedoseev, V.V.: Theor. Math. Phys. 126, 212 (2001b)
Lai, D.: Rev. Mod. Phys. 73, 629 (2001)
Liang, E.P., Wilks, S.C., Tabak, M.: Phys. Rev. Lett. 81, 4887 (1998)
Machabeli, G.Z., Nanobashvili, I.S., Tendler, M.: Phys. Scr. 60, 601 (1999)
Marklund, M., Brodin, G.: Phys. Rev. Lett. 98, 025001 (2007)
Michel, F.C.: Rev. Mod. Phys. 54, 1 (1982)
Miller, H.R., Witta, P.J.: Active Galactic Nuclei, p. 202. Springer, Berlin (1987)
Misra, A.P., Brodin, G., Marklund, M., Shukla, P.K.: J. Plasma Phys. 76, 857 (2010)
Mushtaq, A., Khan, R.: Phys. Scr. 78, 015501 (2008)
Nakar, E.: Phys. Rep. 442, 166 (2007)
Ruderman, M.A., Sutherland, P.G.: Astrophys. J. 196, 51 (1975)
Sadiq, S., Mahmood, S., Haque, Q., Ali, M.Z.: Astrophys. J. 793, 27 (2014)
Saleem, H., Khan, R.: Phys. Scr. 71, 314 (2005)
Shahid, M., Iqbal, Z., Hussain, A., Murtaza, G.: Phys. Scr. 90, 025605 (2015)
Shahid, M., Iqbal, Z., Jamil, M., Murtaza, G.: Phys. Plasmas 24, 102113 (2017)
Shapiro, S.L., Teukolsky, S.A., Holes, B.: White Dwarfs and Neutron Stars: The Physics of Compact Objects. Wiley, Weinheim (2004)
Stockem, A., Lerche, I., Schlickeiser, R.: Astrophys. J. 659, 419 (2007)
Sturrock, P.A.: Astrophys. J. 164, 529 (1971)
Svensson, R.: Astrophys. J. 258, 335 (1982)
Zamanian, J., Marklund, M., Brodin, G.: New J. Phys. 12, 043019 (2010)
Zank, G.P., Greaves, R.G.: Phys. Rev. E 51, 6079 (1995)
Zeba, I., Yahia, M.E., Shukla, P.K., Moslem, W.M.: Phys. Lett. A 376, 2309 (2012)
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Iqbal, Z., Andreev, P.A. & Murtaza, G. A transverse separate-spin-evolution streaming instability and new wave solutions in electron–positron–ion plasmas. Astrophys Space Sci 364, 97 (2019). https://doi.org/10.1007/s10509-019-3587-z
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DOI: https://doi.org/10.1007/s10509-019-3587-z