Large-amplitude dust-acoustic solitary waves in an electron-depleted hot dusty plasma with trapped ions

2008 ◽  
Vol 86 (8) ◽  
pp. 975-983 ◽  
Author(s):  
M Tribeche ◽  
S Younsi ◽  
T H Zerguini
Keyword(s):  
Dusty Plasma ◽  
Large Amplitude ◽  
Dusty Plasmas ◽  
Trapped Ions ◽  
Ion Trapping ◽  
Dust Particles ◽  
Dust Temperature ◽  
Dust Acoustic ◽  
Nonlinear Potential ◽  
52.35 Tc

A theoretical model is presented to show the existence, formation, and possible realization of large-amplitude dust-acoustic solitary potentials in electron-depleted hot dusty plasma with trapped ions. These nonlinear localized structures are self-consistent solutions of the Vlasov equation in which the ion response is non-Maxwellian due to the ion trapping in the large-amplitude plasma potentials. Emphasis is given to the role of the grain temperature. Interestingly, one finds that the effect of increasing the dust temperature is to restrict the domain of allowable Mach numbers. The latter enlarges when the relative amount of trapped ions is increased. Furthermore, the nonlinear potential shrinks and exhibits smaller depth and smaller width than the one involving cold dust grains. The strong localization of the dust particles becomes less pronounced when the dust temperature is increased. The results complement and provide new insights into previously published results on this problem and their relevance to space dusty plasmas is pointed out.PACS Nos.: 52.27.Lw; 52.35.Fp; 52.35.Sb; 52.35.Tc; 52.35.Mw

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.

Existence and stability of modulated dust-acoustic wave packets in the presence of nonthermal ions

2015 ◽  
Vol 93 (3) ◽  
pp. 271-277
Author(s):  
H. Alinejad ◽  
M. Mahdavi
Keyword(s):  
Modulational Instability ◽  
Wave Packets ◽  
Dusty Plasmas ◽  
Dust Acoustic Wave ◽  
Envelope Solitons ◽  
Fast Ions ◽  
Dust Temperature ◽  
Dust Acoustic ◽  
Existence And Stability ◽  
Instability Growth

The effects of dust temperature and energetic (nonthermal) ions are incorporated in the study of modulated instability of dust-acoustic (DA) waves in a dusty plasma containing warm adiabatic dust grains, isothermal electrons and hot ions obeying a nonthermal distribution. Based on the multiple space and time scales perturbation, a nonlinear Schrödinger equation is derived with a solution showing a new relationship between the modulated DA wave packets and ion nonthermality. It is shown that as the population of fast ions increases, the transition from stable dark envelope solitons to unstable ones shifts to the smaller wavelength regions. The instability growth rate reduces owing to the presence of nonthermal ions. It is also found that the effects of dust temperature and electron concentration modify the criteria for the modulational instability of DA waves. The results could be useful for understanding the properties of modulated wave packets and their evolution in space and laboratory dusty plasmas, such as those in and around the Earth’s foreshock.

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.

A note on ion–dust streaming instability in a collisional dusty plasma

2002 ◽  
Vol 67 (4) ◽  
pp. 235-242 ◽  
Author(s):  
M. ROSENBERG
Keyword(s):  
Dusty Plasma ◽  
Collision Frequency ◽  
Low Frequency ◽  
Dusty Plasmas ◽  
Dust Acoustic Wave ◽  
Ion Drift ◽  
Acoustic Instability ◽  
Streaming Instability ◽  
Dust Acoustic ◽  
Thermal Speed

This note investigates an ion-dust streaming instability with frequency ω less than the dust collision frequency νd, in an unmagnetized collisional dusty plasma. Under certain conditions, a resistive instability can be excited by an ion drift on the order of the ion thermal speed, even when the dust acoustic wave is heavily damped. The effect of weak collisions on the usual dust acoustic instability in the regime ω > νd is also considered. Applications to experimental observations of low-frequency fluctuations in laboratory d.c. glow discharge dusty plasmas are discussed.

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