Effect of external oblique magnetic field on the nonextensive dust acoustic soliton energy
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Effect of external oblique magnetic field on the nonextensive dust acoustic soliton energy Aissa Fodil, Smain Younsi, Rabia Amoura Plasma Physics Group, Theoretical Physics Laboratory, Faculty of Physics, University of Bab-Ezzouar, USTHB, B.P. 32, El Alia, Algiers 16111, Algeria Received: 26 December 2019 / Accepted: 16 April 2020 © Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract A theoretical study has been carried out of obliquely propagating dust acoustic solitary waves in a magnetized multi-component dusty plasma which consists of fluid dust grains, nonextensive ions, and Maxwellian electrons. Our plasma model is inspired from the experimental study of Bandyopadhyay et al. (Phys Rev Lett 101:065006, 2008). The reductive perturbation method has been used to establish the Korteweg–de Vries (K–dV) equation which admits a nonlinear solitary wave solution for small but finite amplitude limit. Our results reveal that the main quantities of DA solitons are drastically affected by the nonextensivity, obliqueness, and static magnetic field effects. In particular, it may be noted that an addition of a degree of ion nonextensivity leads to an increase in the amplitude and width of DA soliton. This effect becomes more important when the DA soliton propagates more obliquely. The role the nonextensivity, obliqueness, and magnetic intensity can play in the energy engendered by the DA soliton is also analyzed. Interestingly, it is shown that the presence of the strong magnetic field causes a dissipation of the energy carried by the DA soliton. This dissipation becomes less important as the ions correlation becomes stronger. For a good understanding, the theoretical results of our model are compared to their experimental counterparts.
1 Introduction From the moment that the first observations of the dust grain in astrophysical and processing plasmas have been carried out, the study of dusty plasmas has speedily developed and has engendered a wide number of research works [1–5]. In addition to their existence in lowtemperature plasmas, dust particles dust are found, next to the plasma, in several regions of the space, namely the interstellar medium, the ionosphere, the magnetosphere, the planetary rings, etc. That is why the dusty plasma has become an important subject of research activity to explore in the field of plasma physics. Generally, dusty plasma contains electrons, ions, and an additional highly charged component called a dust grain. The presence of this latter in the plasma affects the formation and existence of acoustic waves associated with ordinary two species plasma and introduces new types of waves such as dust ion-acoustic (DIA) wave [3], dust-acoustic (DA) wave [4], and dust Bernstein–Greene–Kruskal (DBGK) modes [5].
a e-mail: [email protected] (corresponding author)
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The best well studied of such modes is the so-named dust acoustic mode, which occurs by the combination of
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