Solitons, shocks and vortices in dusty plasmas

Shukla, P. K.; Mamun, A. A.

doi:10.1088/1367-2630/5/1/317

Cited by 286 publications

(183 citation statements)

References 85 publications

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“…Furthermore, it is well known [7][8][9][10] that dispersive drift waves, driven by the drift dissipative instability, can be responsible for the formation of zonal flows, streamers, and vortical structures. The latter play an important role in tokamaks [11], for example.It has been shown that the properties of the dispersive drift wave [12] can be modified in the presence of charged dust grains [13,14] owing to the modification of the equilibrium quasi-neutrality condition and the dust particle dynamics. Dust charge fluctuations can also modify the properties of electrostatic drift waves [15,16].…”

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confidence: 99%

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Drift wave excitation in a collisional dusty magnetoplasma with multi-ion species

Shukła

Rosenberg

2009

J. Plasma Phys.

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Abstract. We investigate the drift dissipative instability in a non-uniform magnetized plasma composed of electrons, positive ions, negative ions and negatively charged dust particles. We use a multi-fluid plasma model and derive a dispersion relation for the electrostatic drift waves with frequencies much smaller than the ion gyrofrequencies and wavelengths longer than the ion gyroradii. The presence of the negatively charged, massive dust grains affects the drift wave frequency and the growth rate of the drift dissipative instability. The present results may be relevant to space and laboratory magnetoplasmas containing negative ions and charged dust grains.The low-frequency electrostatic drift wave is one of the fundamental modes of a non-uniform magnetized plasma (e.g. [1][2][3][4]). In the standard theory of the drift dissipative instability, consideration of a non-Boltzmann electron density perturbation owing to electron-ion collisions leads to a phase shift between the electron density perturbation and the wave potential, which in turn produces instability [1][2][3][4][5][6]. Non-thermal drift waves cause cross-field transport [5] of the electrons and ions in an inhomogeneous magnetoplasma. Furthermore, it is well known [7][8][9][10] that dispersive drift waves, driven by the drift dissipative instability, can be responsible for the formation of zonal flows, streamers, and vortical structures. The latter play an important role in tokamaks [11], for example.It has been shown that the properties of the dispersive drift wave [12] can be modified in the presence of charged dust grains [13,14] owing to the modification of the equilibrium quasi-neutrality condition and the dust particle dynamics. Dust charge fluctuations can also modify the properties of electrostatic drift waves [15,16]. The dynamics of the collisional drift wave instability in an electron-ion plasma with stationary dust grains (i.e. dust grains that do not move on the time scale of the instability) has been studied in [17], without presenting, the modification of the instability growth rate and the drift wave frequency owing to the presence of dust. † Permanent address:

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“…It has been shown that the properties of the dispersive drift wave [12] can be modified in the presence of charged dust grains [13,14] owing to the modification of the equilibrium quasi-neutrality condition and the dust particle dynamics. Dust charge fluctuations can also modify the properties of electrostatic drift waves [15,16].…”

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confidence: 99%

Drift wave excitation in a collisional dusty magnetoplasma with multi-ion species

Shukła

Rosenberg

2009

J. Plasma Phys.

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“…The electric and magnetic fields are denoted as E and B respectively. For the dust fluid we adopt the generalized magnetohydrodynamic model 9 . Since a micron size dust grain may contain several thousand elementary charges, in principle dust fluid is highly viscous compared to electron and ion fluids, so we consider viscosity terms only in the context of the dust momentum equation.…”

Section: Model and Basic Equationsmentioning

confidence: 99%

Viscoelastic modes in a strongly coupled, cold, magnetized dusty plasma

2010

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A generalized hydrodynamical model has been used to study low frequency modes in a strongly coupled, cold, magnetized dusty plasma. Such plasmas exhibit elastic properties due to strong correlations among dust particles and the tensile stresses imparted by the magnetic field. It has been shown that longitudinal compressional Alfven modes and elasticity modified transverse shear mode exist in such a medium. The features of these collective modes are established and discussed.

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“…[4][5][6]. When wave breaking due to nonlinearity is balanced by the combined effect of dispersion and dissipation, a monotonic or oscillatory dispersive shock wave is generated in a plasma [7]. If the dissipative effect is negligible the KdVB equation transforms into the KdV equation which permits a soliton solution.…”

Section: Introductionmentioning

confidence: 99%

Korteweg–deVries–Burgers (KdVB) equation in a five component cometary plasma with kappa described electrons and ions

et al. 2016

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We investigate the existence of ion-acoustic shock waves in a five component cometary plasma consisting of positively and negatively charged oxygen ions, kappa described hydrogen ions, hot solar electrons, and slightly colder cometary electrons. The KdVB equation has been derived for the system, and its solution plotted for different kappa values, oxygen ion densities, as well as the temperature ratios for the ions. It is found that the amplitude of the shock wave decreases with increasing kappa values. The strength of the shock profile decreases with increasing temperatures of the positively charged oxygen ions and densities of negatively charged oxygen ions.

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Solitons, shocks and vortices in dusty plasmas

Cited by 286 publications

References 85 publications

Drift wave excitation in a collisional dusty magnetoplasma with multi-ion species

Drift wave excitation in a collisional dusty magnetoplasma with multi-ion species

Viscoelastic modes in a strongly coupled, cold, magnetized dusty plasma

Korteweg–deVries–Burgers (KdVB) equation in a five component cometary plasma with kappa described electrons and ions

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