Nonlinear Electrostatic Excitations in Magnetized Plasma with Mono-Energetic Electron Beam

Mohammad Eghbali1, Muhammad Khalid2, Abdul Kabir3
1Department of Physics, Faculty of Science, Behbahan Khatam Alanbia University of Technology, Behbahan, Iran
2Department of Physics, Government Post Graduate College Swabi, Swabi, Pakistan
3GNSS Research Lab National Center of GIS and Space Applications, Department of Space Science, Institute of Space Technology, Islamabad, Pakistan

Tóm tắt

The nonlinear effects of an magnetized plasma of a system including two kinds of electrons with Kappa distribution, warm ions, in the presence of an electron beam have been investigated. The nonlinear differential equation governing this system is derived using the reduction perturbation approach. The propagation of waves in plasma settings is significantly impacted by the electron beam’s existence as a unique component. The results demonstrate that soliton waves propagating in the proposed plasma environment experience changes in their amplitude, phase speed, and nonlinear coefficient owing to the presence of the electron beam. The current results demonstrate that the electron number density of the beam may be used to regulate the propagation of ion acoustic waves in plasmas. The outcomes obtained have applications in plasma laser interaction.

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Vasyliunas, V.M.: A survey of low-energy electrons in the evening sector of the magnetosphere with OGO 1 and OGO 3. J. Geophys. Res. 73, 2839 (1968) Little, R.G.; Greenwald, A.C.; Minnucci, J.A.: Pulsed electron beams for annealing of ion-implanted silicon. IEEE Trans. Nucl. Sci. 26, 1684 (1979) Jones, L.A.; Finken, K.H.; Dangor, A.; Kllne, E.; Singer, S.; Lindemuth, I.R.; Brownell, J.H.; Oliphant, T.A.: A laser initiated, gas embedded Z pinch: experiment and computation. Appl. Phys. Lett. 38, 522 (1981) Leggieri, G.; Luches, A.; Nassisi, V.; Perrone, A.; Perrone, M.R.: Pulsed electron beam for silicon annealing. Vacuum 32, 9 (1982) Koval, B.A.; Mesyats, G.A.; Ozur, G.E.; Proskurovsky, D.I.; Yankelevich, E.B.: In: Mesyats, G.A. (ed.) HighCurrent Electron Beams in Technology, p. 26. Nauka, Novosibirsk (1983) (in Russian) Ozur, G.E.; Proskurovsky, D.I.: Generation of low-energy high-current electron beams in plasma-anode electron guns. Plasma Phys. Rep. 44, 18 (2018) Montgomery, M.D.; Bame, S.J.; Hundhause, A.J.: Solar wind electrons: Vela 4 measurements. J. Geophys. Res. 73, 4999 (1968) Feldman, W.C.; Asbridge, J.R.; Bame, S.J.; Montgomery, M.D.; Gary, S.P.: Solar wind electrons. J. Geophys. Res. 80, 4181 (1975) Pilipp, W.G.; Miggenrieder, H.; Montgomery, M.D.; Muhlhauser, K.H.; Rosenbauer, H.; Schwenn, R.: Characteristics of electron velocity distribution functions in the solar wind derived from the Helios Plasma Experiment. J. Geophys. Res. 92, 1075 (1987) Maksimovic, M.; Pierrard, V.; Lemaire, J.F.: A kinetic model of the solar wind with Kappa distribution functions in the corona. Astron. Astrophys. 324, 725 (1997) Zouganelis, I.: Measuring suprathermal electron parameters in space plasmas: implementation of the quasi-thermal noise spectroscopy with kappa distributions using in situ Ulysses/URAP radio measurements in the solar wind. J. Geophys. Res. 113, A8 (2008) Hellberg, M.A.; Mace, R.L.; Baluku, T.K.; Kourakis, I.; Saini, N.S.: Mathematical and physical aspects of Kappa velocity distribution. Phys. Plasmas 16, 094701 (2009) Tribeche, M.; Djebarni, L.; Amour, R.: Ion-acoustic solitary waves in a plasma with a q-nonextensive electron velocity distribution. Phys. Plasmas 17, 042114 (2010) Tsallis, C.: Non-extensive thermostatistics: brief review and comments. Phys. A 221, 277 (1995) Livadiotis, G.; McComas, D.J.: Beyond kappa distributions: exploiting Tsallis statistical mechanics in space plasmas. J. Geophys. Res. 114A, 11 (2009) Hasegawa, A.; Mima, K.; Duong-van, M.: Plasma distribution function in a superthermal radiation field. Phys. Rev. Lett. 54, 2608 (1985) Treumann, R.A.; Jaroschek, C.; Erratum, H.: Gibbsian theory of power-law distributions. Phys. Rev. Lett. 100, 155005 (2008) Khalid, M.; Kabir, A.; Jan, S.U.; Eldin, S.M.: Coexistence of compressive and rarefactive positron acoustic electrostatic excitations in unmagnetized plasma with Kaniadakis distributed electrons and hot positrons. Braz. J. Phys. 53, 66 (2023) Baluku, T.K.; Hellberg, M.A.: Ion acoustic solitons in a plasma with two-temperature kappa-distributed electrons. Phys. Plasmas 19, 012106 (2012) Singh, S.V.; Devanandhan, S.; Lakhina, G.S.; Bharuthram, R.: Effect of ion temperature on ion-acoustic solitary waves in a magnetized plasma in presence of superthermal electrons. Phys. Plasmas 20, 012306 (2013) Alam, M.S.; Masud, M.M.; Mamun, A.A.: Effects of bi-kappa distributed electrons on dust-ion-acoustic shock waves in dusty superthermal plasmas. Chin. Phys. B 22, 115202 (2013) Khalid, M.: Oblique ion-acoustic solitary waves in anisotropic plasma with Tsallis distribution. Europhys. Lett. 138, 53003 (2022) Alinejad, H.; Mahdavi, M.; Shahmansouri, M.: Modulational instability of ion-acoustic waves in a plasma with two-temperature kappa-distributed electrons. Astrophys. Space Sci. 352, 571 (2014) Khalid, M.; Khan, M.; Rahman, A.; Hadi, F.: Nonlinear periodic structures in a magnetized plasma with Cairns distributed electrons. Indian J. Phys. 96, 1783 (2022) Lazar, M.; Yoon, P.H.; Eliasson, B.: Electromagnetic cyclotron instabilities in bi-Kappa distributed plasmas: a quasilinear approach. Phys. Plasmas 24, 042110 (2017) Khalid, M.; Khan, A.; Khan, M.; Hadi, F.; Rahman, A.: Dust ion acoustic solitary waves in unmagnetized plasma with Kaniadakis distributed electrons. Braz. J. Phys. 51, 60 (2021) Lundin, R.; Zakharov, A.; Pellinen, R.; Borg, H.; Hultqvist, B.; Pissarenko, N.; Dubinin, E.M.; Barabash, S.W.; Liede, I.; Koskinen, H.: On the momentum transfer of the solar wind to the Martian topside ionosphere. Nature 341, 609 (1989) Khalid, M.: Large amplitude electrostatic solitary waves in anisotropic plasma. Waves Rand. Complex Media (2023). https://doi.org/10.1080/17455030.2023.2179854 Futaana, Y.; Machida, S.; Saito, Y.; Matsuoka, A.; Hayakawa, H.: Moon-related nonthermal ions observed by Nozomi: species, sources, and generation mechanisms. J. Geophys. Res. 108, 1025 (2003) Mendis, D.A.; Rosenberg, M.: Cosmic dusty plasma. Annu. Rev. Astron. Astrophys. 32, 419 (1994) Verheest, F.: Waves and instabilities in dusty space plasmas. Space Sci. Rev. 77, 267 (1996) Verheest, F.: Waves in Dusty Space Plasmas. Kluwer Academic Publishers, Dordrecht (2000) Kundu, S.K.; Ghosh, D.K.; Chatterjee, P.; Das, B.: Shock waves in a dusty plasma with positive and negative dust, where electrons are superthermally distributed. J. Phys. 38, 409 (2011) Schippers, P.; Blanc, M.; Andr, N.; Dandouras, I.; Lewis, G.R.; Gilbert, L.K.; Persoon, A.M.; Krupp, N.; Gurnett, D.A.; Coates, A.J.; Krimigis, S.M.; Young, D.T.; Dougherty, M.K.: Multi-instrument analysis of electron populations in Saturn’s magnetosphere. J. Geophys. Res. 113A, 07208 (2008) Khalid, M.; Ullah, A.; Kabir, A.; Khan, H.; Irshad, M.; Shah, S.M.: Oblique propagation of ion-acoustic solitary waves in magnetized electron-positron-ion plasma with Cairns distribution. Europhys. Lett. 138, 63001 (2022) Khalid, M.; Hadi, F.; Rahman, A.: Modulation of multi-dimensional waves in anisotropic magnetized plasma. Eur. Phys. J. Plus 136, 1061 (2021) Khalid, M.; Rahman, A.: Ion acoustic cnoidal waves in a magnetized plasma in the presence of ion pressure anisotropy. Astrophys. Space Sci. 364, 28 (2019) Khalid, M.; Hadi, F.; Rahman, A.: Ion-scale cnoidal waves in a magnetized anisotropic superthermal plasma. J. Phys. Soc. Jpn. 88, 114501 (2019) Khalid, M.; El-Tantawy, S.A.; Rahman, A.: Oblique ion acoustic excitations in a magnetoplasma having-deformed Kaniadakis distributed electrons. Astrophys. Space Sci. 365, 75 (2020) Moslem, W.M.: Obliquely propagating dust-acoustic solitary waves in cosmic dust-laden plasmas. Chaos, Solitons Fractals 23, 939 (2005)