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 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.

DIA and DA solitary waves in adiabatic dusty plasmas

2009 ◽  
Vol 75 (3) ◽  
pp. 413-431 ◽  
Author(s):  
A. A. MAMUN ◽  
N. JAHAN ◽  
P. K. SHUKLA
Keyword(s):  
Dusty Plasma ◽  
Solitary Waves ◽  
Dusty Plasmas ◽  
Reductive Perturbation Method ◽  
Charged Dust ◽  
Combined Effects ◽  
Arbitrary Amplitude ◽  
Basic Features ◽  
Adiabatic Dusty Plasma ◽  
Pseudo Potential

AbstractWe consider an adiabatic dusty plasma containing adiabatic inertialess electrons, adiabatic ions, and adiabatic negatively charged dust. The basic features of the dust–ion-acoustic (DIA) as well as the dust-acoustic (DA) solitary waves (SWs) in such an adiabatic dusty plasma are investigated using the reductive perturbation method, which is valid for small amplitude SWs, and by the pseudo-potential approach which is valid for arbitrary amplitude SWs. The combined effects of the adiabaticity of electrons/ions and negatively charged static/mobile dust on the basic features (polarity, speed, amplitude and width) of small as well as arbitrary amplitude DIA and DA SWs are examined explicitly. It is found that the combined effects of the adiabaticity of electrons/ions and negatively charged static/mobile dust significantly modify the basic features (polarity, speed, amplitude and width) of the DIA and DA SWs. The implications of our results in space and laboratory dusty plasmas are discussed briefly.

Dust Ion-Acoustic Shock Waves in a Multicomponent Magnetorotating Plasma

2018 ◽  
Vol 73 (3) ◽  
pp. 215-223 ◽  
Author(s):  
Barjinder Kaur ◽  
N.S. Saini
Keyword(s):  
Shock Waves ◽  
Kinematic Viscosity ◽  
Perturbation Technique ◽  
Dusty Plasmas ◽  
Rotational Frequency ◽  
Physical Parameters ◽  
Charged Dust ◽  
Nonlinear Properties ◽  
Electrons And Positrons ◽  
Ion Acoustic

AbstractThe nonlinear properties of dust ion-acoustic (DIA) shock waves in a magnetorotating plasma consisting of inertial ions, nonextensive electrons and positrons, and immobile negatively charged dust are examined. The effects of dust charge fluctuations are not included in the present investigation, but the ion kinematic viscosity (collisions) is a source of dissipation, leading to the formation of stable shock structures. The Zakharov–Kuznetsov–Burgers (ZKB) equation is derived using the reductive perturbation technique, and from its solution the effects of different physical parameters, i.e. nonextensivity of electrons and positrons, kinematic viscosity, rotational frequency, and positron and dust concentrations, on the characteristics of shock waves are examined. It is observed that physical parameters play a very crucial role in the formation of DIA shocks. This study could be useful in understanding the electrostatic excitations in dusty plasmas in space (e.g. interstellar medium).

Rogue wave triplets in an ion-beam dusty plasma with superthermal electrons and negative ions

2013 ◽  
Vol 377 (34-36) ◽  
pp. 2118-2125 ◽  
Author(s):  
Shimin Guo ◽  
Liquan Mei ◽  
Weijuan Shi
Keyword(s):  
Dusty Plasma ◽  
Rogue Wave ◽  
Ion Beam ◽  
Negative Ions ◽  
Superthermal Electrons

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.

Low-frequency electrostatic waves in a magnetized, current-free, heavy negative ion plasma

2013 ◽  
Vol 79 (6) ◽  
pp. 1107-1111 ◽  
Author(s):  
S. H. KIM ◽  
R. L. MERLINO ◽  
J. K. MEYER ◽  
M. ROSENBERG
Keyword(s):  
Large Fraction ◽  
Low Frequency ◽  
Negative Ions ◽  
Wave Mode ◽  
Negative Ion ◽  
Electrostatic Wave ◽  
Electrostatic Waves ◽  
Positive Ions ◽  
Ion Plasma ◽  
The Waves

AbstractWe report experimental observations of a low-frequency (≪ ion gyrofrequency) electrostatic wave mode in a magnetized cylindrical (Q machine) plasma containing positive ions, very few electrons and a relatively large fraction (n−/ne > 103) of heavy negative ions (m−/m+ ≈ 10), and no magnetic field-aligned current. The waves propagate nearly perpendicular to B with a multiharmonic spectrum. The maximum wave amplitude coincided spatially with the region of largest density gradient suggesting that the waves were excited by a drift instability in a nearly electron-free positive ion–negative ion plasma

scholarly journals Simulations of two-stream instability in opposite polarity dusty plasmas

2012 ◽  
Vol 78 (3) ◽  
pp. 211-224
Author(s):  
S. ERIC CLARK ◽  
M. ROSENBERG ◽  
K. QUEST
Keyword(s):  
Electric Field ◽  
Dusty Plasma ◽  
Electric Fields ◽  
Dusty Plasmas ◽  
Linear Instability ◽  
Dust Particles ◽  
Charged Dust ◽  
Collision Rate ◽  
Dust Trapping ◽  
Nonlinear Development

AbstractOne-dimensional Particle in Cell simulations of a dust–dust counterstreaming instability in a plasma containing dust grains of opposite charge polarity are presented. This dust–dust instability has potentially the lowest threshold drift for a dust wave instability in an unmagnetized dusty plasma. The linear and nonlinear development of this instability is investigated, including the effects of collisions with background neutrals, and a background electric field that acts as a driver to impart the drift velocities of the counter-streaming oppositely charged dust particles. The saturation of the linear instability appears to be due to dust heating related to dust trapping. Potential double layer formation from dust–dust instability turbulence is observed in cases with a high neutral collision rate. A comparative study is done with varying collision rates and background electric fields to explore the nonlinear development as a function of collision rate and background electric field. Applications to possible dusty plasma experimental parameters are discussed.

Nonlinear propagation of dust-ion-acoustic solitary waves in an unmagnetized dusty plasma with trapped particle distribution

2015 ◽  
Vol 30 (40) ◽  
pp. 1550216 ◽  
Author(s):  
O. Rahman
Keyword(s):  
Dusty Plasma ◽  
Solitary Waves ◽  
Perturbation Technique ◽  
Negative Ions ◽  
Mkdv Equation ◽  
Finite Amplitude ◽  
Negative Ion ◽  
Nonlinear Propagation ◽  
Ion Distribution ◽  
Ion Acoustic

The nonlinear propagation of dust-ion-acoustic (DIA) solitary waves (SWs) in an unmagnetized four-component dusty plasma containing electrons and negative ions obeying vortex-like (trapped) velocity distribution, cold mobile positive ions and arbitrarily charged stationary dust has been theoretically investigated. The properties of small but finite amplitude DIASWs are studied by employing the reductive perturbation technique. It has been found that owing to the departure from the Maxwellian electron and Maxwellian negative ion distribution to a vortex-like one, the dynamics of such DIASWs is governed by a modified Korteweg–de Vries (mKdV) equation which admits SW solution under certain conditions. The basic properties (speed, amplitude, width, etc.) of such DIASWs are found to be significantly modified by the presence of trapped electron and trapped negative ions. The implications of our results to space and laboratory dusty electronegative plasmas (DENPs) are briefly discussed.

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