Salient features of solitary waves in dusty plasma under the influence of Coriolis force

Das, Gopal; Nag, Apratim

doi:10.1063/1.2770549

Cited by 21 publications

(10 citation statements)

References 31 publications

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“…This work can be readily accomplished, for instance, for the case of magnetoplasma with rotation frequency parallel/antiparallel to magnetic field direction by substitution ofω in Eqs. (4) or (18) with Ω =ω ± 2ω r /ω pi , where, ω r is the rotation angular frequency [42] and other parameters have their usual meanings. Now, based on our general solution, we have for the soliton matching condition; k < M/∆ <ω ± 2ω r /ω pi forω ± 2ω r /ω pi > k and viceversa, with the ∆ values presented in Sec.…”

Section: Extension To Rotating Magnetoplasmasmentioning

confidence: 99%

Generalized matching criterion for electrostatic ion solitary propagations in quasineutral magnetized plasmas

Akbari-Moghanjoughi

2011

Physics of Plasmas

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Based on the magnetohydrodynamics (MHD) model, an exact arbitrary-amplitude general solution is presented for oblique propagation of solitary excitations in two-and three-component quasineutral magnetoplasmas, adopting the standard pseudopotential approach. It is revealed that the necessary matching criterion of existence of such oblique nonlinear propagations in two and three-fluid magnetoplasmas share global features. These features are examined for the cases of electron-ion and electron-positron-ion magnetoplasmas with diverse equations of state. This study also reveals that for electron-ion magnetoplasmas with plasma-frequencies larger than the cyclotron-frequency (B 0 < 0.137 √ n 0 ) a critical-angle of β cr = arccos B 0 /(0.137 √ n 0 ) exists, at which propagation of solitary excitation is not possible. Coriolis effect on allowed soliton matching condition in rotating magnetoplasmas is also considered as an extension to this work. Current investigation can have important implications for nonlinear wave dynamics in astrophysical as well as laboratory magnetoplasmas.

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Section: Extension To Rotating Magnetoplasmasmentioning

confidence: 99%

Generalized matching criterion for electrostatic ion solitary propagations in quasineutral magnetized plasmas

Akbari-Moghanjoughi

2011

Physics of Plasmas

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“…In this regard, an important consequence of considering a noninertial frame is the Coriolis force, which for plasmas, produces magnetic field‐like effect. [ 21 ] Such rotating plasmas play an important role in explaining certain number of interesting problems in astrophysical environments, e.g. Pulsar/Kerr and black‐hole magnetosphere.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear ion acoustic waves in dissipative and dispersive magneto‐rotating relativistic plasmas with two temperature superthermal electrons

Abbasi

Masood

Khan

et al. 2020

Contributions to Plasma Physics

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A study has been presented for the nonlinear features of ion-acoustic (IA) shock waves in a magnetorotating plasma consisting of warm viscous streaming ions along with kappa-distributed electrons having two different temperatures. In this regard, we have employed the reductive perturbation technique to derive the Zakharov-Kuznetsov-Burgers (ZKB) equation that governs the dynamics of IA shock waves. The solution obtained by the hyperbolic tangent method has been shown to depend on various plasma parameters such as spectral index (c), density fraction (f), effective rotation frequency (Ω c), ion kinematic viscosity (o), and temperature ratio (). In the limiting case when dissipative coefficient D → 0, we have also examined the solitary potential distributions, which are the solutions of Zakharov Kuznetsov (ZK) equation. It is found that both rarefactive and compressive structures exist for the system under consideration. The transition in the nature of such profiles is due to the enhancement in the density of cold electrons. The importance of present theoretical investigations has been carried out with regard to Saturn's magnetosphere, where two temperature superthermal electron populations have been observed by various satellite missions. K E Y W O R D S ion acoustic waves, kappa distribution, nonthermal plasma, shocks/solitons, two electron thermal population 1 INTRODUCTION Ion acoustic waves (IAW) are one of the fundamental low-frequency modes in a plasma and are associated with plasma compression during their propagation. [1,2] Various plasmas allow propagation of several types of nonlinear waves, e.g. solitons and shocks. [3,4] The former can trap plasma particles and cause a redistribution of energy and momentum. These structures arise due to the interplay between wave dispersion and nonlinearity as described by the Korteweg de Vries (KdV) equation. The system becomes more interesting in the presence of dissipation and, for weakly nonlinear 1-D systems, is depicted by Korteweg-de Vries-Burgers (KdVB) Equation. [5,6] Such dissipation is mainly caused by interparticle collisions, ion kinematic viscosity, and/or wave-particle interaction. The dissipation term is often recognized as the Burgers term and supports formation of shock waves. [7-12]

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“…[31] Apart from the well-known Lorentz force creating plasma fluid rotation, Coriolis force is also suggested [32] to be of importance in astrophysical environments. For the case of ummagnetized and rotational plasmas, the authors in refs [34,35] studied the dynamics of arbitrary amplitude non-linear solitary profiles, the first without dust dynamics and the latter with the inclusion of dust dynamics. [33] Due to the important role played by the Coriolis force in rotating space plasma, many researchers have attempted to analyse the wave dynamics in the presence of the Coriolis force.…”

Section: Introductionmentioning

confidence: 99%

“…[10] By employing the reductive perturbation method, a ZK equation was derived, and the effects of various parameters, like obliqueness, positron concentration, and ion temperature, were discussed on the width and amplitude of solitary waves. For the case of ummagnetized and rotational plasmas, the authors in refs [34,35] studied the dynamics of arbitrary amplitude non-linear solitary profiles, the first without dust dynamics and the latter with the inclusion of dust dynamics. Moslem et al [36] studied the non-linear electrostatic excitations in a magnetized rotating e-p-i plasmas and found that the system supports the propagation of both subsonic and supersonic waves.…”

Section: Introductionmentioning

confidence: 99%

Dissipative ion acoustic solitary waves in collisional, magneto‐rotating, non‐thermal electron–positron–ion plasma

Farooq

Ahmad

Qasim

2018

Contributions to Plasma Physics

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The linear and non-linear dynamics of ion acoustic waves are investigated in three-component magnetized plasma consisting of cold inertial ions and non-thermal electrons and positrons. The non-thermal components are modelled by the hybrid distribution, representing the combination of two (kappa and Cairn's) non-thermal distributions. The relevant processes, including the slow rotation of plasma along the magnetic field axis and collision between ions and neutrals, are taken into consideration. It is shown that the non-linear dynamics of the considered system are governed by the Zakharov-Kuznetsov equation in modified form. In the general dissipation regime, the effects of the two non-thermal distributions on the solitary waves are compared. The effects of other plasma parameters, such as collisional and rotational frequency, are also discussed in detail. KEYWORDS Damped Zakharov-Kuznetsov Equation, Dissipative ion acoustic solitary waves, electron-positron-ion plasma 1

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Salient features of solitary waves in dusty plasma under the influence of Coriolis force

Cited by 21 publications

References 31 publications

Generalized matching criterion for electrostatic ion solitary propagations in quasineutral magnetized plasmas

Generalized matching criterion for electrostatic ion solitary propagations in quasineutral magnetized plasmas

Nonlinear ion acoustic waves in dissipative and dispersive magneto‐rotating relativistic plasmas with two temperature superthermal electrons

Dissipative ion acoustic solitary waves in collisional, magneto‐rotating, non‐thermal electron–positron–ion plasma

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