Linear and nonlinear fluctuations of electron-temperature-gradient driven mode and electron acoustic mode in a two-electron temperature nonthermal magnetized plasma
Javaria Razzaq
Department of Physics, Theoretical Plasma Physics Group, Quaid-i-Azam University, Islamabad, Pakistan
Search for more papers by this authorCorresponding Author
Qamar-ul- Haque
Theoretical Physics Division, PINSTECH, Nilore, Islamabad, Pakistan
Correspondence
Qamar-ul-Haque, Theoretical Physics Division, PINSTECH, P.O.Nilore, Islamabad, Pakistan.
Email: qamar_haque@hotmail.com
Search for more papers by this authorShahida Nargis
Department of Physics, Theoretical Plasma Physics Group, Quaid-i-Azam University, Islamabad, Pakistan
Search for more papers by this authorArshad M. Mirza
Department of Physics, Theoretical Plasma Physics Group, Quaid-i-Azam University, Islamabad, Pakistan
Search for more papers by this authorJavaria Razzaq
Department of Physics, Theoretical Plasma Physics Group, Quaid-i-Azam University, Islamabad, Pakistan
Search for more papers by this authorCorresponding Author
Qamar-ul- Haque
Theoretical Physics Division, PINSTECH, Nilore, Islamabad, Pakistan
Correspondence
Qamar-ul-Haque, Theoretical Physics Division, PINSTECH, P.O.Nilore, Islamabad, Pakistan.
Email: qamar_haque@hotmail.com
Search for more papers by this authorShahida Nargis
Department of Physics, Theoretical Plasma Physics Group, Quaid-i-Azam University, Islamabad, Pakistan
Search for more papers by this authorArshad M. Mirza
Department of Physics, Theoretical Plasma Physics Group, Quaid-i-Azam University, Islamabad, Pakistan
Search for more papers by this authorFunding information: Quaid-i-Azam University Research Fund, Higher Education Commission (HEC), 7632/Federal/NRPU/R&D/HEC/2017
Abstract
Nonlinear vortical structures and soliton formation are investigated for electron temperature gradient instability in a two-electron temperature non-Maxwellian magnetoplasma. The inhomogeneity in magnetic field is also considered. A new set of nonlinear equations, using transport equations of Braginskii”s model, are formulated to study the nonlinear structures. A modified linear dispersion relation of coupled electron temperature gradient (ETG) mode and electron acoustic wave is derived. The ETG instability is found to increase with increase in ηec value that increases with sharp density gradients. The results are applied to auroral region of earth's magnetosphere and the calculated values of the nonlinear electric field of fast solitary waves are found to be in agreement with the Viking satellite observations.
REFERENCES
- 1B. B. Kadomtsev, Rep. Prog. Phys. 1996, 59(2), 91.
- 2W. Horton, B. Hu, J. Q. Dong, P. Zhu, New J. Phys. 2003, 5, 14.
- 3A. M. Dimits, G. Bateman, M. A. Beer, B. I. Cohen, W. Dorland, G. W. Hammett, C. Kim, J. E. Kinsey, M. Kotschenreuther, A. H. Kritz, L. L. Lao, J. Mandrekas, W. M. Nevins, S. E. Parker, A. J. Redd, D. E. Shumaker, R. Sydora, J. Weiland, Phys. Plasmas 2000, 7(3), 969.
- 4 A. Hirose, M. Elia, A. I. Smolyakov, M. Yagi, Phys. Plasmas 2002, 9(5), 969.
- 5A. Hirose, Plasma Phys. Control. Fus. 2007, 49(2), 145.
- 6 W. Horton, G. T. Hoang, C. Bourdelle, X. Garbet, M. Ottaviani, L. Colas, Phys. Plasmas 2004, 11(5), 1659.
- 7 W. Horton, B. G. Hong, W. M. Tang, Phys. Fluids 1988, 31(10), 2971.
- 8P. W. Terry, D. Carmody, H. Doerk, W. Guttenfelder, D. R. Hatch, C. C. Hegna, A. Ishizawa, F. Jenko, W. M. Nevins, I. Predebon, M. J. Pueschel, J. S. Sarff, G. G. Whelan, Nucl. Fusion 2015, 55(10), 104011.
- 9Y. C. Lee, J. Q. Dong, P. N. Guzdar, C. S. Liu, Phys. Fluids 1987, 30, 1331.
- 10C. S. Liu, Phys. Rev. Lett. 1971, 27, 1637.
- 11T. Ohkawa, Phys. Lett. A 1978, 67, 35.
- 12M. Greenwald, D. Gwinn, S. Milora, J. Parker, R. Parker, S. Wolfe, M. Besen, F. Camacho, S. Fairfax, C. Fiore, M. Foord, R. Gandy, C. Gomez, R. Granetz, B. LaBombard, B. Lipschultz, B. Lloyd, E. Marmar, S. McCool, D. Pappas, R. Petrasso, P. Pribyl, J. Rice, D. Schuresko, Y. Takase, J. Terry, R. Watterson, Phys. Rev. Lett. 1984, 53, 352.
- 13B. Bezzerides, D. W. Forslund, E. L. Lindman, Phys. Fluids 1978, 21, 2179.
- 14F. S. Mozer, C. A. Cattell, M. Temerin, R. B. Torbert, S. Von Glinski, M. Woldorff, J. Wygant, J. Geophys. Res. 1979, 84, 5875. https://doi.org/10.1029/JA084iA10p05875.
- 15N. Dubouloz, R. Pottelette, M. Malingre, G. Holmgren, P. A. Lindqvist, J. Geophys. Res. 1991, 96, 3565.
- 16E. R. Ergun, C. W. Carlson, J. P. McFadden, F. S. Mozer, G. T. Delory, W. Peria, C. C. Chaston, M. Temerin, I. Roth, L. Muschietti, R. Elphic, R. Strangeway, R. Pfaff, C. A. Cattell, D. Klumpar, E. Shelley, W. Peterson, E. Moebius, L. Kistler, Geophys. Res. Lett. 1998, 25(2041), 2041. https://doi.org/10.1029/98GL00636.
- 17S. S. Ghosh, A. Sen, G. S. Lakhina, Nonlinear Process. Geophys. 2002, 9, 463.
- 18Q. Haque, A. M. Mirza, S. Nargis, Phys. Plasmas 2010, 17, 054505.
- 19H. R. Pakzad, K. Javidan, P. Eslami, Phys. Scr. 2020, 95, 045605.
- 20S. P. Christon, D. G. Mitchell, D. J. Williams, L. A. Frank, C. Y. Huang, T. E. Eastman, J. Geophys. Res. 1988, 93, 2562.
- 21N. Iwamoto, Phys. Rev. E 1993, 47, 604.
- 22R. A. Cairns, A. A. Mamun, R. Bingham, R. Bostrom, R. Dendy, C. M. C. Nairn, P. K. Shukla, Geophys. Res. Lett 1995, 22, 2709.
- 23R. Smets, D. Delcourt, D. Fontaine, J. Geophys. Res. 1998, 103, 20407.
- 24V. Pierrard, H. Lamy, J. F. Lemaire, J. Geophys. Res. 2004, 109, A02118.
- 25V. Pierrard, M. Lazar, Sol. Phys. 2010, 267, 153.
- 26P. H. Yoon, Phys. Plasmas 2012, 19, 052301.
- 27G. Livadiotis, D. J. McComas, Space Sci. Rev. 2013, 175, 183.
- 28N. S. Saini, I. Kourakis, M. A. Hellberg, Phys. Plasmas 2009, 16, 062903.
- 29B. Sahu, Phys. Plasmas 2010, 17, 122305.
- 30J. Razzaq, Q. Haque, A. M. Bhatti, A. M. Mirza, M. Khan, Phys. Plasmas 2019, 26, 032112.
- 31V. D. Larichev, G. M. Reznik, Oceanology 1976, 16, 547.
- 32P. K. Shukla, G. T. Birk, R. Bingham, Geophys. Res. Lett. 1995, 22, 671.
- 33R. Bharuthram, P. K. Shukla, Plasma Phys. Control. Fus. 1987, 29, 1695.
- 34V. I. Petviashvili, O. A. Pokhotelov, Solitary Waves in Plasmas and in the atmosphere, Gordon and Breach, London 1992.
- 35J. Vranjis, Physica Scripta. 1999, 59(230), È234.
- 36V. D. Larichev, G. M. Reznik, Dokl. Akad. Nauk SSSR 1976, 231, 1077.
- 37Q. Haque, A. M. Mirza, J. Iqbal, Braz. J. Phys. 2016, 46, 157.
- 38O. R. Rufai, R. Bharuthram, S. V. Singh, G. S. Lakhina, Phys. Plasmas 2014, 21, 082104.
- 39T. Yamauchi, Y. Ishige, T. Kozawa andTomilo Schiina, Phys. Lett. A 1998, 247, 330.