Dispersion relation for pure dust Bernstein waves in a non-Maxwellian magnetized dusty plasma

Deeba, F.; Ahmad, Zahoor; Murtaza, G.

doi:10.1063/1.3601763

Cited by 9 publications

(4 citation statements)

References 19 publications

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“…For r = 0 and q ⟶ ∞ , we found that our results agree with those obtained by Duan [11]. Moreover, we recognize that the present work could be useful in interpreting and understanding many phenomena taking place in different regions in the Saturn's moon Titan [38,39] and other space regions, such as ionosphere, solar wind, cometary tails [40,41] which have dust grains obeying non-maxwellian distributio.…”

Section: Discussionsupporting

confidence: 85%

Three-dimensional modulational instability of dust acoustic waves in the presence of generalized (r, q) distributed electrons

et al. 2021

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A three-dimensional (3D) modulational instability (MI) of dust acoustic waves (DAWs) in a three-component magnetized dusty plasma system consisting of a negatively charged fluid, inertialess generalized (r, q) distributed electrons and Boltzmann distributed ions, is investigated. The basic system of the nonlinear hydrodynamic equations is reduced to a 3D nonlinear Schrödinger equation (NLS) which is valid for small but finite amplitude DAWs using a reductive perturbation technique. The domain of the stability and instability regions is investigated that is strongly affected by the spectral parameters of the generalized (r, q) distribution and the electron-to-ion temperature ratio (T e /T i ). The existence domains for observing the first-and second-order solutions of the dust acoustic rogue waves (DARWs) are determined and the basic features (viz the width and amplitude) for the first-order solution are found to be significantly dependent on the system physical parameters changes such as T e /T i , number density ratio [n e0/(n d0 z d0)] and the dust cyclotron frequency (ω cd ) as well as the spectral indexes r and q. A comparison between the first-and second-order DARW amplitudes is presented. Moreover, another comparison between the first-order DARW amplitudes obtained by generalized (r, q) distributed electrons and those corresponds to Maxwellian is provided. Finally, implication of our consequences in specific plasma situations are briefly discussed.

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Section: Discussionsupporting

confidence: 85%

Three-dimensional modulational instability of dust acoustic waves in the presence of generalized (r, q) distributed electrons

et al. 2021

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“…Finally, our numerical investigations should be of wide relevance to explain and interpret various regions in the Saturn's moon Titan [54,55] and other space regions, such as ionosphere, solar wind, cometary tails [56,57] where the particles follow a non-Maxwellian distribution. Moreover, these findings may be helpful to understand the basic features of the nonlinear structures of the DAWs propagating in such space regions and to control (minimize) the dissipated energy in these regions.…”

Section: Numerical Results and Conclusionmentioning

confidence: 99%

Effects of double spectral electron distribution and polarization force on dust acoustic waves in a negative dusty plasma

El‐Labany

El-Taibany

El-Tantawy

et al. 2020

Contributions to Plasma Physics

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The nonlinear features of dust acoustic waves (DAWs) propagating in a multicomponent dusty plasma with negative dust grains, Maxwellian ions, and double spectral electron distribution (DSED) are investigated. A Korteweg de Vries Burgers equation (KdVB) is derived in the presence of the polarization force using the reductive perturbation technique (RPT). In the absence of the dissipation effect, the bifurcation analysis is introduced and various types of solutions are obtained. One of these solutions is the rarefactive solitary wave solution. Additionally, in the presence of the dissipation effects, the tanh method is employed to find out the solution of KdVB equation. Both of the monotonic and the oscillatory shock structures are numerically investigated. It is found that the correlation between dissipation and dispersion terms participates strongly in creating the dust acoustic shock wave. The limit of the DSED to the Maxwell distribution is examined. The distortional effects in the profile of the shock wave that result by increasing the values of the flatness parameter, r, and the tail parameter, q, are investigated. In addition, it has been shown that the proportional increase in the value of the polarization parameter R enhances in both of the strength of the monotonic shock wave and the amplitude of the oscillatory shock wave. The effectiveness of non-Maxwellian distributions, like DSED, in several of plasma situations is discussed as well.

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“…Later authors also observed that the propagation band for dust Bernstein waves is rather narrow as compared with that of the electron Bernstein waves. However, the band width increases for higher harmonics, for both kappa and (r,q) distributions [22].…”

Section: Introductionmentioning

confidence: 95%

“…By starting with Kinetic Vlasov-Boltzmann Equation in perturbed linearized distribution function (21) and substituting the Generalized (r,q) distribution function is of the form (22) r and q are the spectral indices where r represents the shoulder profile and q is for high energy tail. Now applying plane wave solution and solving for fji and introducing the density perturbation equation…”

Section: Dispersion and Growth Of Dust Acoustic Waves In Non-maxwelli...mentioning

confidence: 99%

Solar wind driven electrostatic instabilities with generalized (r, q) distribution function

Nasir

Ehsan

Qureshi

et al. 2019

Contributions to Plasma Physics

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Using Boltzmann–Vlasov kinetic model, a currentless ion acoustic instability driven by stream of solar wind plasma is studied in a non‐thermal distributed electrons and ions. The non‐thermal distribution considered here is the generalized distribution which has low energetic flat‐top and velocity power law tail at higher energies. The instability threshold is found to be affected and depends upon the spectral indices r and q. It is found that the growth rate increases with the decrease in the value of r and increase with q. Moreover, such kinetic instability has also been discussed for three species electron–ion–dust plasma using the generalized (r, q) distribution function. Such case is of interest when the solar wind is streaming through the cometary plasma in the presence of interstellar dust and excites electrostatic instabilities. The dispersion properties and growth rates for ion‐acoustic and dust‐acoustic mode are calculated analytically and plotted for different values of the spectral indices r and q.

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Dispersion relation for pure dust Bernstein waves in a non-Maxwellian magnetized dusty plasma

Cited by 9 publications

References 19 publications

Three-dimensional modulational instability of dust acoustic waves in the presence of generalized (r, q) distributed electrons

Three-dimensional modulational instability of dust acoustic waves in the presence of generalized (r, q) distributed electrons

Effects of double spectral electron distribution and polarization force on dust acoustic waves in a negative dusty plasma

Solar wind driven electrostatic instabilities with generalized (r, q) distribution function

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