Obliquely propagating electrostatic solitary structures in a magnetized hot dusty plasma with trapped ions

Mamun, A. A.; Alam, M. N.; Azad, Abul Kalam

doi:10.1063/1.872630

Cited by 31 publications

(15 citation statements)

References 13 publications

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“…The collision phase-shifts of solitary excitations are obtained using Eqs. (18) and (20) and the KdV solutions (Eqs. (22) and (23)) as…”

Section: Dynamics Of Head-on Collision and Propagationmentioning

confidence: 99%

Universal characteristics of ion-acoustic wave dynamics in magnetized plasmas with emphasis on Tsallis distribution

Akbari-Moghanjoughi

2011

Astrophys Space Sci

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Using the extended Poincaré-Lighthill-Kuo (PLK) reductive perturbation method, which incorporates the phase-shift variations, it is shown that common features on propagation and head-on collisions of ion-acoustic waves exist for a magnetized plasmas of different inertial-less particle distributions. For instance it is remarked that, the soliton amplitude is always independent of magnetic field strength while strictly depends on its angle regarding the propagation direction.Both types of solitons (compressive or rarefactive) are shown to exist which are defined through the critical angle γ = π/2 or other critical values depending on plasma fractional parameters.These critical plasma parameter values also define the sign of head-on collision phase shift. Furthermore, it is proved that for a given set of plasma parameters there is always a relative angle of propagation regarding to that of the magnetic-field for which the soliton width is maximum. Current findings applies to a wide range of magnetized plasmas including those containing background dust ingredients or two-temperature inertial-less particles and may be used to study laboratory or astrophysical magnetoplasmas.

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“…The collision phase-shifts of solitary excitations are obtained using Eqs. (18) and (20) and the KdV solutions (Eqs. (22) and (23)) as…”

Section: Dynamics Of Head-on Collision and Propagationmentioning

confidence: 99%

Universal characteristics of ion-acoustic wave dynamics in magnetized plasmas with emphasis on Tsallis distribution

Akbari-Moghanjoughi

2011

Astrophys Space Sci

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“…One can numerically solve the system of equations (9), (13), and (23) either as a boundary-value problem or as an initial-value problem. For simplicity, we have solved it as an initial-value problem.…”

Section: Numerical Resultsmentioning

confidence: 99%

Large-amplitude electrostatic solitary structures in dusty plasmas with vortex-like variable charge dust distribution and non-isothermal trapped electrons

Tribeche¹

2009

J. Plasma Phys.

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The recent analysis of large-amplitude solitary potentials in a charge varying dusty plasma with trapped dust particles (Tribeche, M. 2005 Phys. Plasmas 12, 072304) is extended to include the electron trapping self-consistently. The nonisothermal trapped electron charging is investigated based on the orbit motion limited approach. It is found that the nonlinear localized potential structure enlarges when the electrons deviate from isothermality. The effect of this deviation is more significant under certain conditions. The dust particles are locally expelled and pushed out of the region of soliton localization as the electrons evolve far away from their thermodynamic equilibrium.

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“…33). The importance of the latter has been pointed out by many authors [19,23,[37][38][39][40][41][42][43] and more recently by Thomas et al [44]. Furthermore, the laboratory observations of low-phase-velocity dust acoustic waves [8] are associated with significant depletion of the electron-number density, suggesting therefore that the wave dynamics is governed by the inertia of the dust fluid and the pressure of inertialess ions only.…”

Section: Introductionmentioning

confidence: 90%

“…Substituting v d (19) and p d (20) into (24), one can obtain the following quadratic equation for n 2 d :…”

Section: Arbitrary-amplitude Dust Acoustic Wavesmentioning

confidence: 99%

Large-amplitude dust-acoustic solitary waves in an electron-depleted hot dusty plasma with trapped ions

Tribeche¹,

Younsi²,

Zerguini³

2008

Can. J. Phys.

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A theoretical model is presented to show the existence, formation, and possible realization of large-amplitude dust-acoustic solitary potentials in electron-depleted hot dusty plasma with trapped ions. These nonlinear localized structures are self-consistent solutions of the Vlasov equation in which the ion response is non-Maxwellian due to the ion trapping in the large-amplitude plasma potentials. Emphasis is given to the role of the grain temperature. Interestingly, one finds that the effect of increasing the dust temperature is to restrict the domain of allowable Mach numbers. The latter enlarges when the relative amount of trapped ions is increased. Furthermore, the nonlinear potential shrinks and exhibits smaller depth and smaller width than the one involving cold dust grains. The strong localization of the dust particles becomes less pronounced when the dust temperature is increased. The results complement and provide new insights into previously published results on this problem and their relevance to space dusty plasmas is pointed out.Résumé : Nous présentons un modèle théorique pour montrer l'existence, la formation et la réalisation possible de potentiels solitaires poussières-ondes acoustiques de grande amplitude dans des plasmas chauds poussiéreux avec des ions captifs. Ces structures localisées non linéaires sont des solutions harmonieuses (self-consistent) de l'équation de Vlasov dans laquelle la réponse ionique est non Maxwellienne, à cause de la capture des ions dans les potentiels plasmatiques de grande amplitude. Nous insistons sur le rôle de la température des grains. Il est intéressant de constater que l'augmentation de la temperature de la poussière restreint le domaine des valeurs possibles pour le nombre de Mach. Il croît quand augmente la quantité relative d'ions captifs. De plus, le potentiel non linéaire voit sa profondeur et sa largeur diminuer lorsque cette température augmente , alors que diminue la forte localization des particules de poussière. Nos resultats complètent des résultats déjà publiés tout en leur donnant un éclairage nouveau et nous soulignons leuri mportance dans l'étude des plasmas poussiéreux spatiaux.[Traduit par la Rédaction]

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Obliquely propagating electrostatic solitary structures in a magnetized hot dusty plasma with trapped ions

Cited by 31 publications

References 13 publications

Universal characteristics of ion-acoustic wave dynamics in magnetized plasmas with emphasis on Tsallis distribution

Universal characteristics of ion-acoustic wave dynamics in magnetized plasmas with emphasis on Tsallis distribution

Large-amplitude electrostatic solitary structures in dusty plasmas with vortex-like variable charge dust distribution and non-isothermal trapped electrons

Large-amplitude dust-acoustic solitary waves in an electron-depleted hot dusty plasma with trapped ions

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