Abstract
The linear and nonlinear properties of high-frequency electron-acoustic (EA) solitons are investigated in multi-component dissipative plasma with a cold beam electron fluid, the Schamel-kappa distributed hot trapped electrons, and stationary ions. The linear phase speed is found to be modified significantly due to variations in dissipative, superthermality, and beam speed parameters. The impact of dissipation (cold electron-to-neutrals collisions) and superthermality on the characteristics of electron acoustics waves (EAWs) is elaborated. The multiple scale expansion method is employed to derive time-varying Schamel equation for small-amplitude electrostatic potential disturbances, carrying dissipative processes as well. The variations in superthermality, and beam speed parameters have been found to strongly impact the profiles of dissipative solitons obtained through numerical time evolution of Schamel equation. The significance of the work lies in the fact that positive potential electron acoustic solitons are sustained, which correspond to holes (or humps) in the cold (hot) electron number density. As trapping is a nonlinear phenomenon, so its impact on these solitary dissipative structures have also been highlighted with suitable application parameters. This study should be beneficial for understanding nonlinear structures reported in the dayside auroral zone and other regions of the magnetosphere.
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References
Afanasjev, V.V.: Opt. Lett. 20, 704 (1995)
Akhiezer, A.I., Akhiezer, I.A., Polovin, R.V., Sitenko, A.G., Stepanov, K.N.: Plasma Electrodynamics, vol. 1, p. 184. Pergamon, Elmsford (1974)
Armstrong, T.P., Paonessa, M.T., Bell, E.V. II, Krimigis, S.M.: J. Geophys. Res. 88, 8893 (1983)
Atai, J., Malomed, B.A.: Phys. Rev. E 54, 4371 (1996)
Berthomier, M., Pottelette, R., Malingre, M., Khotyainsev, Y.: Phys. Plasmas 7, 2987 (2000)
Danehkar, A.: Plasma Phys. Control. Fusion 60, 065010 (2018)
Danehkar, A., Saini, N.S., Hellberg, M.A., Kourakis, I.: Phys. Plasmas 18, 072902 (2011)
Derfler, H., Simonen, T.C.: Phys. Fluids 12, 269 (1969)
Devanandhan, S., Singh, S.V., Lakhina, G.S., Bharuthram, R.: Nonlinear Process. Geophys. 18, 627 (2011)
Dubouloz, N., Pottelette, R., Malingre, M., Treumann, R.A.: Geophys. Res. Lett. 18, 155 (1991)
Dubouloz, N., Treumann, R.A., Pottelette, R., Malingre, M.: J. Geophys. Res., Atmos. 98, 17415 (1993)
Dutta, M., Chakrabarti, N., Roychoudhury, R., Khan, M.: Phys. Plasmas 18, 102301 (2011)
Dutta, M., Ghosh, S., Chakrabarti, N.: Phys. Rev. E 86, 066408 (2012)
Ergun, R.E., Carlson, C.W., McFadden, J.P., Mozer, F.S., Delory, G.T., Peria, W., Chaston, C.C., Temerin, M., Roth, I., Muschietti, L., Eliphic, R., Strangeway, R., Pfaff, R., Cattell, C.A., Klumpar, D., Shelley, E., Peterson, W., Moeblus, E., Kistler, L. Geophys. Res. Lett. 25, 2041 (1998)
Fried, B.D., Gould, R.W.: Phys. Fluids 4, 139 (1961)
Gosling, J.T., Thomsen, M.F., Bame, S.J., Russell, C.T.: J. Geophys. Res. 94, 10011 (1989)
Hasegawa, A.: Plasma Instabilities and Non-linear Effects p. 34. Springer, Berlin (1975)
Havnes, O.: Astron. Astrophys. 193, 309 (1988)
Henry, D., Treguier, J.P.: J. Plasma Phys. 8, 311 (1972)
Ichimaru, S.: Basic Principles of Physics p. 139. Benjamin, Elmsford (1973)
Kakad, A.P., Singh, S.V., Reddy, R.V., Lakhina, G.S., Tagare, S.G.: Adv. Space Res. 43, 1945 (2009)
Krapak, S.A., Morfill, G.: Phys. Plasmas 8, 2629 (2001)
Leubner, M.P.: J. Geophys. Res. 87, 6335 (1982)
Malomed, B.A., Winful, H.G.: Phys. Rev. E 53, 5365 (1996)
Mamun, A.A., Shukla, P.K.: J. Geophys. Res. 107, 1135 (2002)
Mondal, S., Narayanan, V., Ding, W.J., Lad, A.D., Hao, B., Ahmad, S., Wang, W.M., Sheng, Z.M., Sengupta, S., Kaw, P., Das, A., Kumar, G.R.: Proc. Natl. Acad. Sci. 109, 8011 (2012)
Moon, C., Tamura, S., Kaneko, T., Hakakeyama, R.: J. Plasma Fusion Res. 9, 436 (2010)
Mozer, F.S., Cattell, C.A., Temerin, M., Torbert, R.B., Glinski, S.V., Woldorff, M., Wygant, J.: J. Geophys. Res. 84, 5875 (1979)
Nakazawa, M., Yamada, E., Kubota, H., Suzuki, K.: Electron. Lett. 27, 1270 (1991)
Nicholson, D.R., Goldman, M.V.: Phys. Fluids 19, 1621 (1976)
Nozaki, K., Bekki, N.: Phys. Rev. Lett. 51, 2171 (1983)
Onsager, T.G., Thomsen, M.F., Elphic, R.C., Gosling, J.T., Anderson, R.R., Kettmann, G.: J. Geophys. Res. 98, 15509 (1993)
Parks, G.K., McCarthy, M., Fitzenreiter, R.J., Etcheto, J., Anderson, K.A., Anderson, R.R., Eastman, T.E., Frank, L.A., Gurnett, D.A., Huang, C., Lin, R.P., Lui, A.T.Y., Ogilvie, K.W., Pederson, A., Reme, H., Williams, D.J.: J. Geophys. Res. 89, 8885 (1984)
Pereira, N.R.: Phys. Fluids 20, 1735 (1977)
Pereira, N.R., Chu, F.Y.F.: Phys. Fluids 22, 874 (1979)
Pereira, N.R., Stenflo, L.: Phys. Fluids 20, 1733 (1977)
Pickett, J.S., Chen, L.J., Mutel, R.L., Christopher, I.W., Santolík, O., Lakhina, G.S., Singh, S.V., Reddy, R.V., Gurnett, D.A., Tsurutani, B.T., Lucek, E., Lavraud, B.: Adv. Space Res. 41, 1666 (2008)
Pierrard, V., Lazar, M.: Sol. Phys. 267, 153 (2010)
Pottelette, R., Malingre, M., Dubouloz, N., Aparicio, B., Lundin, R.: J. Geophys. Res. 95, 5957 (1990)
Pottelette, R., Treumann, R.A., Pottelette, R., Malingre, M.: Geophys. Res. Lett. 26, 2629 (1999)
Rehman, A., Shan, S.A., Hamza, M.Y., Lee, J.K.: J. Geophys. Res. Space Phys. 122, 1690 (2017)
Sahu, B.: Phys. Plasmas 17, 122305 (2010)
Schamel, H.: Plasma Phys. 14, 905 (1972)
Schamel, H.: J. Plasma Phys. 9, 377 (1973)
Schriver, D., Ashour-Abdalla, M.: Geophys. Res. Lett. 16, 899 (1989)
Shan, S.A., Imtiaz, N.: Phys. Lett. A 382, 1247 (2018)
Shan, S.A., Saleem, H.: Phys. Plasmas 16, 022111 (2009)
Shan, S.A., Saleem, H.: Phys. Plasmas 25, 052107 (2018)
Shan, S.A., Saleem, H., Sajid, M.: Phys. Plasmas 15, 072904 (2008)
Shan, S.A., Rehman, A., Mushtaq, A.: Phys. Plasmas 23, 092118 (2016)
Sheridan, T.E., Goeckner, M.J., Goree, J.: J. Vac. Sci. Technol. A 9, 688 (1991)
Shukla, P.K., Hellberg, M.A., Stenflo, L.: J. Atmos. Sol.-Terr. Phys. 65, 355 (2003)
Singh, N., Araveti, S.: Astrophys. J. Lett. 733, L6 (2011)
Singh, S.V., Lakhina, G.S.: Planet. Space Sci. 49, 107 (2001)
Singh, S.V., Lakhina, G.S., Bharuthram, R., Pillay, S.R.: Phys. Plasmas 18, 122306 (2011)
Singh, S.V., Devanandhan, S., Lakhina, G.S., Bharuthram, R.: Phys. Plasmas 23, 082310 (2016)
Sultana, S., Kourakis, I.: Phys. Plasmas 22, 102302 (2015)
Tagare, S.G., Singh, S.V., Reddy, R.V., Lakhina, G.S.: Nonlinear Process. Geophys. 11, 215 (2004)
Tokar, R.L., Gary, S.P.: Geophys. Res. Lett. 11, 1180 (1984)
Vasyliunas, V.M.: J. Geophys. Res. 73, 2839 (1968)
Vladimirov, S.V., Ostrikov, K.N., Yu, M.Y.: Phys. Rev. E 60, 3257 (1999)
Watanabe, K., Taniuti, T.: J. Phys. Soc. Jpn. 43, 1819 (1977)
Williams, G., Verheest, F., Hellberg, M.A., Anowar, M.G.M., Kourakis, I.: Phys. Plasmas 21, 092103 (2014)
Younsi, S., Tribeche, M.: Astrophys. Space Sci. 330, 295 (2010)
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Shan, S.A. Dissipative electron-acoustic solitons in a cold electron beam plasma with superthermal trapped electrons. Astrophys Space Sci 364, 36 (2019). https://doi.org/10.1007/s10509-019-3524-1
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DOI: https://doi.org/10.1007/s10509-019-3524-1