Self-similar expansion of dusty plasmas

1997 ◽  
Vol 58 (3) ◽  
pp. 467-474 ◽  
Author(s):  
S. R. PILLAY ◽  
S. V. SINGH ◽  
R. BHARUTHRAM ◽  
M. Y. YU
Keyword(s):  
Dusty Plasma ◽  
Dusty Plasmas ◽  
Dust Particles ◽  
Charge Variation ◽  
Dust Charge ◽  
Electrons And Ions ◽  
Fluid Equations ◽  
Self Similar

The radially symmetric self-similar expansion of a dusty plasma is investigated in cylindrical and spherical geometries. The electrons and ions are assumed to be in Boltzmann equilibria, while the dynamics of the dust particles is governed by the fluid equations. The effects of finite dust pressure as well as dust-charge variation are included.

Dust acoustic and drift waves in a non-Maxwellian dusty plasma with dust charge fluctuation

2015 ◽  
Vol 81 (6) ◽  
Author(s):  
U. Zakir ◽  
Q. Haque ◽  
N. Imtiaz ◽  
A. Qamar
Keyword(s):  
Dusty Plasma ◽  
Dust Particles ◽  
Drift Waves ◽  
Physical Parameters ◽  
Charge Fluctuation ◽  
Plasma Parameters ◽  
Dust Charge ◽  
Electrons And Ions ◽  
Dust Acoustic ◽  
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.

Effects of charge dispersion in dusty plasmas

1995 ◽  
Vol 54 (3) ◽  
pp. 373-391 ◽  
Author(s):  
T. K. Aslaksen
Keyword(s):  
Charge Distribution ◽  
Dusty Plasmas ◽  
Dust Particles ◽  
Dust Charge ◽  
Kinetic Effects ◽  
Current Equation

We investigate the charge-dispersive effects on a sheath of monosized dust particles in equilibrium. This is done through describing the dust particles by using equations in (x, v) space (kinetic space) that include terms originating from the charge distribution of the dust particles. The charge-dispersive terms are assumed to be completely determined by the local charging processes. We find that the effects due to these terms are opposed by the ordinary gradient terms in the current equation in kinetic space, and they are therefore smaller than first expected. We also identify kinetic effects that are not included in the usual expression for the dust charge in hydrodynamic space.

scholarly journals Magnetosonic solitons in a dusty plasma slab

2008 ◽  
Vol 74 (5) ◽  
pp. 601-605 ◽  
Author(s):  
M. MARKLUND ◽  
L. STENFLO ◽  
P. K. SHUKLA
Keyword(s):  
Dusty Plasma ◽  
Nonlinear Equations ◽  
Dusty Plasmas ◽  
Sharp Contrast ◽  
Dust Particles ◽  
Magnetized Plasmas ◽  
Nonlinear Structures ◽  
Magnetohydrodynamic Equations ◽  
Plasma Slab

AbstractThe existence of magnetosonic solitons in dusty plasmas is investigated. The nonlinear magnetohydrodynamic equations for a warm dusty magnetoplasma are thus derived. A solution of the nonlinear equations is presented. It is shown that, owing to the presence of dust, static structures are allowed. This is in sharp contrast to the formation of the so-called shocklets in usual magnetoplasmas. A comparatively small number of dust particles can thus drastically alter the behavior of the nonlinear structures in magnetized plasmas.

Dust acoustic wave in a dusty plasmas with streaming ions and nonadiabatic dust charge variation

2009 ◽  
Vol 373 (33) ◽  
pp. 2944-2947 ◽  
Author(s):  
Yunliang Wang ◽  
Zhongxiang Zhou ◽  
Xiangqian Jiang ◽  
Xiaodong Ni ◽  
Yu Zhang ◽  
...  
Keyword(s):  
Acoustic Wave ◽  
Dusty Plasmas ◽  
Dust Acoustic Wave ◽  
Charge Variation ◽  
Dust Charge ◽  
Dust Acoustic

Small-amplitude electrostatic solitary waves in a dusty plasma with variable charge resonant trapped dust particles

2007 ◽  
Vol 73 (6) ◽  
pp. 901-910 ◽  
Author(s):  
LEILA AIT GOUGAM ◽  
MOULOUD TRIBECHE ◽  
FAWZIA MEKIDECHE
Keyword(s):  
Solitary Waves ◽  
Small Amplitude ◽  
Charge Trapping ◽  
Dusty Plasmas ◽  
Dust Particles ◽  
Plasma Parameters ◽  
Variable Charge ◽  
Dust Charge ◽  
Temperature Equilibrium ◽  
Dust Grain

AbstractSmall-amplitude electrostatic solitary waves are investigated in unmagnetized dusty plasmas with variable charge resonant trapped dust particles. It is found that under certain conditions spatially localized structures, the height and nature of which depend sensitively on the plasma parameters, can exist. The effects of dust grain temperature, equilibrium dust charge, trapping parameter, and dust size on the properties of these solitary waves are briefly discussed. A neural network with a given architecture and learning process, and which may be useful to interpret experimental data, is outlined. Our investigation may be taken as a prerequisite for the understanding of the solitary dust waves that may occur in space as well as in laboratory plasmas.

Nonlinear dust acoustic travelling waves in dusty plasmas due to dust charge fluctuations

2015 ◽  
Vol 81 (5) ◽  
Author(s):  
Asit Saha ◽  
Prasanta Chatterjee ◽  
Nikhil Pal
Keyword(s):  
Bifurcation Theory ◽  
Blow Up ◽  
Dusty Plasmas ◽  
Periodic Waves ◽  
Charge Fluctuations ◽  
Dust Charge ◽  
Electrons And Ions ◽  
Dust Acoustic ◽  
Dust Charge Fluctuations ◽  
Planar Dynamical Systems

Dust acoustic solitary waves, blow-up solitary waves and periodic waves have been investigated in unmagnetized dusty plasmas with Maxwell-distributed electrons and ions, considering dust charge fluctuations using the bifurcation theory of planar dynamical systems. The basic equations are transformed to an ordinary differential equation involving the electrostatic potential. Applying the bifurcation theory of planar dynamical systems, we have established the existence of solitary, blow-up solitary and periodic waves. Four exact solutions of the solitary, blow-up solitary and periodic waves are derived depending on the physical parameters. Regarding the solitary, blow-up solitary and periodic waves, we have presented the combined effects of the density ratio of electrons and ions (${\it\alpha}$), the temperature ratio of electrons and ions $({\it\beta})$ and the speed of the travelling wave ($v$) on the characteristics of dust acoustic solitary, blow-up solitary and periodic waves.

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