scholarly journals The nonlinear dustgrain-charging on large amplitude electrostatic waves in a dusty plasma with trapped ions

1998 ◽  
Vol 5 (1) ◽  
pp. 53-62 ◽  
Author(s):  
Y.-N. Nejoh
Keyword(s):  
Dusty Plasma ◽  
Density Ratio ◽  
Dusty Plasmas ◽  
Trapped Ions ◽  
Charge Ratio ◽  
Ion Temperature ◽  
Ion Density ◽  
Electrostatic Waves ◽  
New Findings ◽  
Ion Waves

Abstract. The nonlinear dustgrain-charging and the influence of the ion density and temperature on electrostatic waves in a dusty plasma having trapped ions are investigated by numerical calculation. This work is the first approach to the effect of trapped ions in dusty plasmas. The nonlinear variation of the dust-charge is examined, and it is shown that the characteristics of the dustcharge number sensitively depend on the plasma potential, Mach number, dust mass-to-charge ratio, trapped ion density and temperature. The fast and slow wave modes are shown in this system. An increase of the ion temperature decreases the dust-charging rate and the propagation speed of ion waves. It is found that the existence of electrostatic ion waves sensitively depends on the ion to electron density ratio. New findings of the variable-charge dust grain particles, ion density and temperature in a dusty plasma with trapped ions are predicted.

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 One-dimensional Self-organised Structures in Dusty Plasmas

1998 ◽  
Vol 51 (5) ◽  
pp. 763 ◽  
Author(s):  
V. N. Tsytovich
Keyword(s):  
Dusty Plasma ◽  
Open Systems ◽  
Dusty Plasmas ◽  
Point Of View ◽  
Dust Particles ◽  
Natural Phenomenon ◽  
Ion Density ◽  
One Dimensional ◽  
Hydrodynamic Approach ◽  
Consistent Manner

A dusty plasma is an open system in which the formation of structures is a natural phenomenon. The first part of the present review is devoted to an introduction to dusty plasma physics and a formulation of the new theoretical kinetic and new hydrodynamic approaches used in subsequent parts. In the new hydrodynamic approach only dust–plasma particle collisions are taken into account and the usual binary plasma collisions are neglected. This description takes into account the possibility of plasma absorption on dust particles and is appropriate for open systems. The second part of the review contains a description of one-dimensional plasma–dust self-organised structures where the energy source corresponds to the plasma fluxes towards the dust regions from the plasma regions where the dust is absent. The fluxes are created by the structures in a self-consistent manner to increase the ion density and decrease the electron density, drift velocity and electrostatic potential inside the structure. The third part contains the theory of shock waves in dusty plasmas, modification of the Gugoniot relation and analyses of the possibility of an increase of dust density behind the shock front. All parts are based on the modern point of view of the physics of dusty plasmas and mainly new material is presented. The review is written in the form of lectures and therefore the references to the existing literature are given in the text, with more details in the last section devoted to some historical comment. The references to general reviews are given separately as [A]-[D].

scholarly journals Dust-Ion-Acoustic Rogue Waves in a Dusty Plasma Having Super-Thermal Electrons

Gases ◽  
2021 ◽  
Vol 1 (2) ◽  
pp. 106-116
Author(s):  
Akib Al Noman ◽  
Md Khairul Islam ◽  
Mehedi Hassan ◽  
Subrata Banik ◽  
Nure Alam Chowdhury ◽  
...  
Keyword(s):  
Dusty Plasma ◽  
Modulational Instability ◽  
Rogue Waves ◽  
Dusty Plasmas ◽  
Charged Dust ◽  
Dust Grains ◽  
Ion Temperature ◽  
Ion Acoustic ◽  
Kappa Distributed Electrons ◽  
Dia Waves

The standard nonlinear Schrödinger Equation (NLSE) is one of the elegant equations to find detailed information about the modulational instability criteria of dust-ion-acoustic (DIA) waves and associated DIA rogue waves (DIARWs) in a three-component dusty plasma medium with inertialess super-thermal kappa distributed electrons, and inertial warm positive ions and negative dust grains. It can be seen that the plasma system supports both fast and slow DIA modes under consideration of inertial warm ions along with inertial negatively charged dust grains. It is also found that the modulationally stable parametric regime decreases with κ. The numerical analysis has also shown that the amplitude of the first and second-order DIARWs decreases with ion temperature. These results are to be considered the cornerstone for explaining the real puzzles in space and laboratory dusty plasmas.

Linear and nonlinear propagation of electron-acoustic wave in a multi-species plasma

1984 ◽  
Vol 32 (2) ◽  
pp. 283-290 ◽  
Author(s):  
S. Guha ◽  
C. B. Dwivedi
Keyword(s):  
Acoustic Wave ◽  
Density Ratio ◽  
Finite Amplitude ◽  
Nonlinear Propagation ◽  
Effective Parameters ◽  
Ion Temperature ◽  
Ion Density ◽  
Electron Acoustic Wave ◽  
Linear And Nonlinear ◽  
Electron Acoustic

The propagation of an electron-acoustic wave in a plasma consisting of two types of ion and two temperature electrons has been investigated in the linear and nonlinear regimes. The presence of the second species of ion modifies the characteristics of the wave. The analysis has been done for both the finite amplitude and the small amplitude case of the electron-acoustic solitary wave. The ion temperature ratio and the electron density ratio rather than the relative ion density are the effective parameters which govern the amplitude of the electron-acoustic soliton.

Dissipative electrostatic wave modulation in warm multi-ion dusty plasmas with superthermal electrons

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Shubhra Bhowmick ◽  
Nabakumar Ghosh ◽  
Biswajit Sahu
Keyword(s):  
Dusty Plasma ◽  
Modulational Instability ◽  
Perturbation Technique ◽  
Negative Ions ◽  
Dusty Plasmas ◽  
Phase Plane Analysis ◽  
Charged Dust ◽  
Superthermal Electrons ◽  
Electrostatic Wave ◽  
Electrostatic Waves

Abstract A theoretical investigation has been carried out to explore the modulational instability (MI) of electrostatic waves in a warm multi-ion dusty plasma system containing positive ions, negative ions and positively or negatively charged dust in presence of superthermal electrons. With the help of the standard perturbation technique, it is found that the dynamics of the modulated wave is governed by a damped nonlinear Schrödinger equation (NLSE). Regions of MI of the electrostatic wave are precisely determined and the analytical solutions predict the formation of dissipative bright and dark solitons as well as dissipative first- and second-order rogue wave solutions. It is found that the striking features (viz., instability criteria, amplitude and width of rogue waves, etc.) are significantly modified by the effects of relevant plasma parameters such as degree of the electron superthermality, dust density, etc. The time dependent numerical simulations of the damped NLSE reveal that modulated electrostatic waves exhibit breather like structures. Moreover, phase plane analysis has been performed to study the dynamical behaviors of NLSE by using the theory of dynamical system. It is remarked that outcome of present study may provide physical insight into understanding the generation of several types of nonlinear structures in dusty plasma environments, where superthermal electrons, positive and negative ions are accountable (e.g. Saturn’s magnetosphere, auroral zone, etc.).

scholarly journals Electrostatic wave breaking limit in a cold electronegative plasma with non-Maxwellian electrons

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
I. S. Elkamash ◽  
I. Kourakis
Keyword(s):  
Wave Breaking ◽  
Density Ratio ◽  
Negative Ions ◽  
First Integral ◽  
Energy Balance Equation ◽  
Plasma Parameters ◽  
Ion Density ◽  
Electrostatic Wave ◽  
Nonthermal Electrons ◽  
Electronegative Plasma

AbstractA one-dimensional multifluid hydrodynamic model has been adopted as basis for an investigation of the role of suprathermal electrons on the wave breaking amplitude limit for electrostatic excitations propagating in an electronegative plasma. A three-component plasma is considered, consisting of two inertial cold ion populations of opposite signs, evolving against a uniform background of (non-Maxwellian) electrons. A kappa-type (non-Maxwellian) distribution function is adopted for the electrons. By employing a traveling wave approximation, the first integral for the fluid-dynamical system has been derived, in the form of a pseudo-energy balance equation, and analyzed. The effect of intrinsic plasma parameters (namely the ion density ratio, the ion mass ratio, and the superthermal index of the nonthermal electrons) on the wave breaking amplitude limit is explored, by analyzing the phase space topology of the associated pseudopotential function. Our results are relevant to particle acceleration in Space environments and to recent experiments based on plasma-based accelerator schemes, where the simultaneous presence of negative ions and nonthermal electrons may be observed.

Effects of ion temperature gradients on the formation of drift-Alfvén vortex structures in dusty plasmas

2002 ◽  
Vol 9 (5) ◽  
pp. 1539-1543 ◽  
Author(s):  
O. G. Onishchenko ◽  
O. A. Pokhotelov ◽  
R. Z. Sagdeev ◽  
V. P. Pavlenko ◽  
L. Stenflo ◽  
...  
Keyword(s):  
Dusty Plasmas ◽  
Vortex Structures ◽  
Temperature Gradients ◽  
Ion Temperature

Three-Dimensional Instability of Opposite Polarity Nonthermal Dusty Plasma

2019 ◽  
Vol 74 (2) ◽  
pp. 131-138
Author(s):  
E.K. El-Shewy ◽  
S.K. Zaghbeer ◽  
A.A. El-Rahman
Keyword(s):  
Growth Rate ◽  
Cyclotron Frequency ◽  
Three Dimensional ◽  
Dusty Plasmas ◽  
Opposite Polarity ◽  
Charge Ratio ◽  
Nonlinear Phenomena ◽  
Wave Instability ◽  
Direction Cosines ◽  
Dimensional Instability

AbstractNonlinearity properties of obliquely wave propagation and instability in collisionless magnetized nonthermal dusty plasmas containing fluid of negative-positive grains are investigated. Zakharov-Kuznetsov equation is obtained and the three-dimensional wave instability is studied. The parameters such as polarity charge ratio, cyclotron frequency and fast nonthermal effectiveness of the instability properties and growth rate are theoretically studied. It is found that both positive and negative soliton profiles are formed depending on the fraction ratio of electron-ion nonthermality. Also, the growth rate was dependent nonlinearly on the direction cosines, the cyclotron frequency and the positive (negative) grain charge ratio, but independent of the fractional ratio of electron-ion nonthermality. Present discussion may be very significant regarding the observations of nonlinear phenomena in space.

Sign in / Sign up

Export Citation Format

Share Document