Propagation of dust-acoustic waves in weakly ionized plasmas with dust-charge fluctuation

The properties of dust acoustic and drift waves are investigated in a charge varying magnetized dusty plasma. The plasma is composed of non-thermal electrons and ions with dynamic dust particles. The mathematical expression which describes the dust charge fluctuation is obtained using ${\it\kappa}$-distribution for both the electrons and ions. A dispersion relation is derived and analysed numerically by choosing space plasma parameters. It is found that the inclusion of variable dust charge along with the non-thermal effects of electrons and ions significantly affect linear/nonlinear properties of the dust acoustic and dust drift waves. The effects of different physical parameters including spectral index (${\it\kappa}$), dust charge number ($Z_{d}$), electron density ($n_{e}$) and ion temperature ($T_{i}$) on the wave dispersion and instability are presented. It is found that the presence of the non-thermal electron and ion populations reduce the growth rate of the instability which arises due to the dust charging effect. In addition, the nonlinear vortex solutions are also obtained. For illustration, the results are analysed by using the dusty plasma parameters of Saturn’s magnetosphere.

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Effect of nonadiabaticity of dust charge variation on dust acoustic waves: Generation of dust acoustic shock waves

Physical Review E ◽

10.1103/physreve.63.046406 ◽

2001 ◽

Vol 63 (4) ◽

Cited By ~ 113

Author(s):

M. R. Gupta ◽

Susmita Sarkar ◽

Samiran Ghosh ◽

M. Debnath ◽

Manoranjan Khan

Keyword(s):

Shock Waves ◽

Acoustic Waves ◽

Dust Acoustic Waves ◽

Charge Variation ◽

Dust Charge ◽

Dust Acoustic

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Adiabatic dust-acoustic waves with dust-charge fluctuations

Journal of Plasma Physics ◽

10.1017/s0022377898006916 ◽

1998 ◽

Vol 60 (3) ◽

pp. 541-550 ◽

Cited By ~ 27

Author(s):

S. V. SINGH ◽

N. N. RAO

Keyword(s):

Acoustic Waves ◽

Kdv Equation ◽

Soliton Solutions ◽

Plasma Pressure ◽

Charge Fluctuations ◽

Dust Acoustic Waves ◽

Dust Charge ◽

Dust Acoustic ◽

Supersonic Regime ◽

Dust Charge Fluctuations

We study the effect of charge fluctuations on the propagation of adiabatic linear and nonlinear dust-acoustic waves by considering the electrons and ions to be in Boltzmann equilibria, and the dust grains to satisfy the fluid equations with full adiabatic equation of state. Linear dust-acoustic waves are damped owing to the dust-charge fluctuations, and the damping rate decreases with increasing adiabatic dust pressure. Nonlinear dust-acoustic waves are governed by the set of coupled Boussinesq-like and dust-charge perturbation equations. It is shown that for unidirectional propagation, the Boussinesq-like equation reduces to usual Korteweg–de Vries (KdV) equation. At early times, the localized solutions of the KdV equation are damped owing to the dust-charge perturbations. The soliton amplitude decreases with increasing adiabatic dust plasma pressure and increases with Mach number. Soliton solutions are found only in the supersonic regime.

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