Effect of Tsallis–Gurevich distributed ions on nonlinear dust‐acoustic oscillations in collisionless nonextensive plasma

Both linear and weakly nonlinear dust‐acoustic (DA) solitons propagation are revisited in the presence of adiabatically trapped‐nonextensive ions. A physically relevant distribution (called Tsallis‐Gurevich ions distribution) is outlined here for the first time. The effect of particle trapping has b...

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Bibliographic Details
Published in:Contributions to plasma physics (1988) 2023-02, Vol.63 (2), p.n/a
Main Authors: Benaiche, Salim, Bacha, Mustapha, Merriche, Abderrzak, Amour, Rabia
Format: Article
Language:English
Subjects:
Acoustic propagation
Adiabatic flow
Dust
Dusty plasmas
dust‐acoustic solitons
Electric fields
Ion density (concentration)
Ions
nonextensive trapped ions density
Oscillations
Plasma
Pulse amplitude
Solitary waves
space dusty plasma
Trapped particles
Trapping
Tsallis–Gurevich distribution
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Summary:Both linear and weakly nonlinear dust‐acoustic (DA) solitons propagation are revisited in the presence of adiabatically trapped‐nonextensive ions. A physically relevant distribution (called Tsallis‐Gurevich ions distribution) is outlined here for the first time. The effect of particle trapping has been taken into account, resulting in a new expression for the ion density. The role a background ion nonextensivity may play on the main proprieties (viz., dispersion relation and soliton's profile) of DA mode, inherent to space dusty plasma, is then analysed. In the q > 1 case, we have shown that as the nonextensive character of trapped ions increases in the plasma, the potential pulse amplitude increases while its width is narrowed. The modifications prompted by the presence of adiabatically trapped‐nonextensive ions on both DA energy and solitary wave's electric field are also analysed. Interestingly, we have found that DA soliton energy increases as the ions evolve far away from their Maxwellian extensive trapping. Also, it is found that, for q > 1, the stronger the inter‐ions correlation, the stronger the electric field. Our investigation, motivated by space and laboratory plasma observations of plasmas containing non‐Maxwellian particles alongside trapped particles, may complement and provide new insight into previously published works dealing with solitary waves in plasma.
ISSN:0863-1042
1521-3986
DOI:10.1002/ctpp.202200132