Multi-dimensional instability of electrostatic solitary structures in magnetized nonthermal dusty plasmas

Mamun, A. A.; Russell, S.M.; Mendoza-Briceño, César A.; Alam, M. N.; Datta, T. K.; Das, Animesh

doi:10.1016/s0032-0633(99)00080-x

Cited by 56 publications

(23 citation statements)

References 40 publications

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“…One is β = 0.5 (corresponding to α = 0.2), a standard value in many discussions using the Cairns nonthermal distribution (for example, Refs. [14,21,30,32,[35][36][37][38][39]), clearly lying in the region where a polarity switch does not take place. As a second example we choose β = 0.3, in the domain where the KdVand non-KdV-like polarities will switch at f = 0.320, as f is increased.…”

Section: Discussionmentioning

confidence: 99%

Dust-ion-acoustic supersolitons in dusty plasmas with nonthermal electrons

2013

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Supersolitons are a recent addition to the literature on large-amplitude solitary waves in multispecies plasmas. They are distinguished from the usual solitons by their associated electric field profiles which are inherently distinct from traditional bipolar structures. In this paper, dust-ion-acoustic modes in a dusty plasma with stationary negative dust, cold fluid protons, and nonthermal electrons are investigated through a Sagdeev pseudopotential approach to see where supersolitons fit between ranges of ordinary solitons and double layers, as supersolitons always have finite amplitudes. They therefore cannot be described by reductive perturbation treatments, which rely on a weak amplitude assumption. A systematic methodology and discussion is given to distinguish the existence domains in solitary wave speed and amplitude for the different solitons, supersolitons and double layers, in terms of compositional parameters for the plasma model under consideration.

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Section: Discussionmentioning

confidence: 99%

Dust-ion-acoustic supersolitons in dusty plasmas with nonthermal electrons

2013

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“…μ is defined as μ = n 0e /n 0i where n 0e and n 0i are the unperturbed number densities of electrons and ions, respectively. β = 4α/(1 + 3α) in which α is a parameter determining the number of fast (nonthermal) ions [15]. If we choose α = 0 the medium reduces to the model of Rao et al in [11].…”

Section: Basic Equationmentioning

confidence: 99%

“…The effect of nonthermal ions on dust acoustic solitary waves in dusty plasma was investigated in [14]. Mamun et al have also studied the multi-dimensional instability of electrostatic solitary structures in magnetized nonthermal dusty plasma [15]. In this paper, the effects of relative density, relative temperature and ion nonthermal distribution on nonlinear dust acoustic waves have been studied by reductive perturbation technique.…”

Section: Introductionmentioning

confidence: 99%

Dust acoustic solitary and shock waves in strongly coupled dusty plasmas with nonthermal ions

Pakzad

Javidan

2009

Pramana - J Phys

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The Korteweg-de Vries-Burgers (KdV-Burgers) equation and modified Korteweg-de Vries-Burgers equation are derived in strongly coupled dusty plasmas containing nonthermal ions and Boltzmann distributed electrons. It is found that solitary waves and shock waves can be produced in this medium. The effects of important parameters such as ion nonthermal parameter, temperature, density and velocity on the properties of shock waves and solitary waves are discussed.

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“…1(b)). This means that our present dusty plasma model can admit compressive as well as rarefactive solitary waves as is evident from the well structure of the Sagdeev potential associated to the KdV equation (28) in Figs 1(c) and 1(d). These localized structures enlarge when β is increased (Fig.…”

Section: Dust Ion Acoustic Solitary Wavesmentioning

confidence: 53%

Weakly nonlinear dust ion-acoustic waves in a charge varying dusty plasma with non-thermal electrons

Tribeche

Berbri

2008

J. Plasma Phys.

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The weakly nonlinear dynamics of dust ion-acoustic waves (DIAWs) are investigated in a dusty plasma consisting of hot ion fluid, variable charge stationary dust grains and non-thermally distributed electrons. The Korteweg-de Vries equation, as well as the Korteweg-de Vries-Burgers equation, are derived on the basis of the well-known reductive perturbation theory. It is shown that, due to electron non-thermality and finite ion temperature, the present dusty plasma model can support compressive as well as rarefactive DIA solitary waves. Furthermore, there may exist collisionless DIA shock-like waves which have either monotonic or oscillatory behavior, the properties of which depend sensitively on the number of fast non-thermal electrons. The results complement and provide new insights into previously published results on this problem (Mamun, A. A. and Shukla, P. K. 2002 IEEE Trans. Plasma Sci. 30, 720).

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Multi-dimensional instability of electrostatic solitary structures in magnetized nonthermal dusty plasmas

Cited by 56 publications

References 40 publications

Dust-ion-acoustic supersolitons in dusty plasmas with nonthermal electrons

Dust-ion-acoustic supersolitons in dusty plasmas with nonthermal electrons

Dust acoustic solitary and shock waves in strongly coupled dusty plasmas with nonthermal ions

Weakly nonlinear dust ion-acoustic waves in a charge varying dusty plasma with non-thermal electrons

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