The effects of variable dust size and charge on dust acoustic waves propagating in a hybrid Cairns–Tsallis complex plasma

El-Taibany, W. F.; El-Siragy, N.M.; Behery, E. E.; El-Bendary, A. A.; Taha, R. M.

doi:10.1007/s12648-017-1150-8

Cited by 17 publications

(15 citation statements)

References 41 publications

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“…[13] Our investigations focus on the effects of the spectral indices r and q with the influence of power-law DSD parameters on the velocity and the main properties of the DAWs. The dust grains obey the power-law DSD.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…We consider the following numerical data for the scaled parameters: a min = 0.001, k = 0.01, k z = 0.01, k m = 4, u 0 = 1.5, = 0.4, = 0.4, and = 0.6. [13] Our investigations focus on the effects of the spectral indices r and q with the influence of power-law DSD parameters on the velocity and the main properties of the DAWs. Figure 1 illustrates the phase velocity versus the spectral indices q and r. In this figure, the phase velocity increases monotonically as either q or r increases.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Solving Equations (14) with the aid of Equations (12) and (13) and eliminating the second-order perturbed quantities, we finally obtain the KdV equation as…”

Section: Basic Equationsmentioning

confidence: 99%

“…[1][2][3] In both space and laboratory experimental plasmas, the dust grains have many different sizes. [11][12][13] Non-Maxwellian distributions are common in astrophysical and space plasmas, e.g. The influence of DSD on the planetary ring thickness has been investigated.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, some effects of the DSDs on dusty plasma with non-Maxwellian distributions were studied. [11][12][13] Non-Maxwellian distributions are common in astrophysical and space plasmas, e.g. ionosphere, solar wind, interstellar medium, planetary magnetosphere, and magnetosheaths.…”

Section: Introductionmentioning

confidence: 99%

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Variable‐size dust grains with generalized (r, q) electrons in a dusty plasma

El-Taibany

Taha

2018

Contributions to Plasma Physics

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The effect of the generalized (r, q) distribution on the non-linear propagation of dust acoustic waves (DAWs) in a dusty plasma consisting of variable-size dust grains is discussed. A Korteweg-de Vries (KdV) equation is derived using the reductive perturbation technique (RPT). The dust size obeys the power-law dust size distribution (DSD). The present results reveal that rarefactive and compressive waves can propagate in the proposed plasma model. It is found that the spectral indices r and q influence the main properties of DAWs. Especially, the velocity, amplitude, and width of the DAW change drastically with r compared to changes in q.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Solving Equations (14) with the aid of Equations (12) and (13) and eliminating the second-order perturbed quantities, we finally obtain the KdV equation as…”

Section: Basic Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Variable‐size dust grains with generalized (r, q) electrons in a dusty plasma

El-Taibany

Taha

2018

Contributions to Plasma Physics

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Effect of nonthermal and nonextensive electrons on dust acoustic waves in planetary rings

Li,

Gao,

Fan

et al. 2024

Contrib. Plasma Phys

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Dust acoustic waves (DAWs) in plasmas are influenced by many plasma parameters, such as, ion temperature, electron number density, nonthermal and nonextensive parameters, and dust cyclotron frequency. The plasma system is described by plasma fluid equations. The Zakharov–Kuznetsov equation and instability growth rate of DAWs have been obtained by reductive perturbation method and small‐ expansion method, respectively. The effects of plasma parameters on the linear dispersion relation, phase velocity, amplitude, width, soliton energy, and three‐dimensional instability of DAWs have been carried out. It is obvious that the incremental nonextensive (nonthermal) parameter leads to the shrinking (incremental) soliton energy and phase velocity. These results are useful for understanding dusty plasma dynamics with Cairns–Tsallis electrons in planetary rings.

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