Effects of dust grain charge fluctuation on an obliquely propagating dust acoustic solitary potential in a magnetized dusty plasma

2000 ◽  
Vol 63 (2) ◽  
pp. 191-200 ◽  
Author(s):  
A. A. MAMUN ◽  
M. H. A. HASSAN
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Dusty Plasma ◽  
Finite Amplitude ◽  
Reductive Perturbation Method ◽  
Charge Fluctuation ◽  
Dust Grains ◽  
Magnetized Dusty Plasma ◽  
Dust Acoustic ◽  
Dust Grain

Effects of dust grain charge fluctuation, obliqueness and external magnetic field on a finite-amplitude dust acoustic solitary potential in a magnetized dusty plasma, consisting of electrons, ions and charge-fluctuating dust grains, are investigated using the reductive perturbation method. It is shown that such a magnetized dusty plasma system may support a dust acoustic solitary potential on a very slow time scale involving the motion of dust grains, whose charge is self- consistently determined by local electron and ion currents. The effects of dust grain charge fluctuation, external magnetic field and obliqueness are found to modify the properties of this dust acoustic solitary potential significantly. The implications of these results for some space and astrophysical dusty plasma systems, especially planetary ring systems and cometary tails, are briefly mentioned.

Dust-acoustic shock waves in a magnetized non-thermal dusty plasma

2014 ◽  
Vol 80 (4) ◽  
pp. 593-606 ◽  
Author(s):  
M. SHAHMANSOURI ◽  
A. A. MAMUN
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Shock Waves ◽  
Dusty Plasma ◽  
Reductive Perturbation Method ◽  
Fluid Viscosity ◽  
Laboratory Plasma ◽  
Basic Properties ◽  
Dust Acoustic ◽  
Dust Fluid

A theoretical investigation is carried out to study the basic properties of dust-acoustic (DA) shock waves propagating in a magnetized non-thermal dusty plasma (containing cold viscous dust fluid, non-thermal ions, and non-thermal electrons). The reductive perturbation method is used to derive the Korteweg–de Vries–Burgers equation. It is found that the basic properties of DA shock waves are significantly modified by the combined effects of dust fluid viscosity, external magnetic field, and obliqueness (angle between external magnetic field and DA wave propagation direction). It is shown that the dust fluid viscosity acts as a source of dissipation, and is responsible for the formation of DA shock structures in the dusty plasma system under consideration. The implications of our results in some space and laboratory plasma situations are briefly discussed.

Non-extensive effects on the characteristics of dust-acoustic solitary waves in magnetized dusty plasma with two-temperature isothermal ions

2014 ◽  
Vol 80 (4) ◽  
pp. 565-579 ◽  
Author(s):  
Akbar Sabetkar ◽  
Davoud Dorranian
Keyword(s):  
Magnetic Field ◽  
Dusty Plasma ◽  
Solitary Waves ◽  
Reductive Perturbation Method ◽  
Magnetized Dusty Plasma ◽  
Dust Acoustic Solitary Waves ◽  
Dust Acoustic ◽  
Cold Dust ◽  
The Magnetic Field ◽  
Two Temperature

The nonlinear Zakharov–Kuznetsov and the modified Zakharov–Kuznetsov equations are derived for dust-acoustic solitary waves (DASWs) in a magnetized four-component dusty plasma system comprising negatively charged cold dust, non-extensive electrons, and two-temperature thermal ions using standard reductive perturbation method. The combined effects of electron non-extensivity, strength of magnetic field, and its obliqueness on the DASWs profile are analyzed. Different ranges of non-extensive q-parameter are considered. Our results show that solitary waves, that their amplitude and width of which depend sensitively on the q-non-extensive parameter, can exist. Due to electron non-extensivity, our dusty plasma model can admit positive potential as well as negative potential solitons. The strength of magnetic field has no effect on the amplitude of solitary waves, whereas its obliqueness affects both amplitude and width of the solitary waves structure. Results show that the amplitude of soliton increases with increasing the velocity of soltion. For any magnitude of q there is an extremum for the direction of the magnetic field at which the width of soliton is maximum.

Effects of vortex-like (trapped) electron distribution on non-linear dust-acoustic waves with positive dust charge fluctuation

2010 ◽  
Vol 76 (3-4) ◽  
pp. 477-485 ◽  
Author(s):  
M. R. AMIN ◽  
SANJIT K. PAUL ◽  
GURUDAS MANDAL ◽  
A. A. MAMUN
Keyword(s):  
Dusty Plasma ◽  
Acoustic Waves ◽  
Electron Distribution ◽  
Reductive Perturbation Method ◽  
Nonlinear Propagation ◽  
Charge Fluctuation ◽  
Dust Charge ◽  
Dust Acoustic ◽  
Dust Grain ◽  
Trapped Electron

AbstractThe nonlinear propagation of dust-acoustic (DA) waves in a dusty plasma consisting of Boltzmann-distributed ions, vortex-like distributed electrons and mobile charge fluctuating positive dust has been investigated by employing the reductive perturbation method. The effects of dust grain charge fluctuation and the vortex-like electron distribution are found to modify the properties of the DA solitary waves significantly. The implications of these results for some space and astrophysical dusty plasma systems are briefly mentioned.

Dust–acoustic nonlinear periodic waves in a dusty plasma with charge fluctuation

2009 ◽  
Vol 75 (5) ◽  
pp. 697-707 ◽  
Author(s):  
L. L. YADAV ◽  
S. V. SINGH ◽  
R. BHARUTHRAM
Keyword(s):  
Reductive Perturbation Method ◽  
Hot Electrons ◽  
Charge Fluctuation ◽  
Periodic Waves ◽  
Plasma Parameters ◽  
Cnoidal Waves ◽  
Electrons And Ions ◽  
Dust Acoustic ◽  
Dust Grain ◽  
Limiting Case

AbstractUsing the reductive perturbation method, we present a theory for dust–acoustic nonlinear periodic waves, namely dust–acoustic cnoidal waves, in a plasma containing hot electrons and ions, and warm dust grains with varying charge. It is found that the frequency of the cnoidal wave is a function of its amplitude. It is also found that the dust grain charge fluctuation and other plasma parameters modify the properties of the dust–acoustic cnoidal waves. In the limiting case, these dust–acoustic cnoidal waves reduce to the well-known dust–acoustic solitons.

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