Dynamical properties of nonlinear ion-acoustic waves based on the nonlinear Schrödinger equation in a multi-pair nonextensive plasma

2020 ◽  
Vol 75 (8) ◽  
pp. 687-697 ◽  
Author(s):  
Jharna Tamang ◽  
Asit Saha
Keyword(s):  
Acoustic Waves ◽  
Density Ratio ◽  
Negative Ions ◽  
Periodic Wave ◽  
Ion Acoustic Waves ◽  
Positive Ions ◽  
Electrons And Positrons ◽  
Ion Acoustic ◽  
Kink Waves ◽  
Nonlinear Periodic Wave

AbstractDynamical properties of nonlinear ion-acoustic waves (IAWs) in multi-pair plasmas (MPPs) constituting adiabatic ion fluids of positive and negative charges, and q-nonextensive electrons and positrons are examined. The nonlinear Schrödinger equation (NLSE) is considered to study the dynamics of IAWs in a nonextensive MPP system. Bifurcation of the dynamical system obtained from the NLSE shows that the system supports various wave forms such as, nonlinear periodic wave, kink and anti-kink waves in different ranges of q. The analytical solutions for ion-acoustic nonlinear periodic wave, kink and anti-kink waves are obtained. The impacts of system parameters such as, nonextensive parameter (q), mass ratio of negative and positive ions (μ1), number density ratio of positive and negative ions (μ2), number density ratio of positrons and negative ions (μp), temperature ratio of positive ions and electrons (σ2) and temperature ratio of electrons and positrons (δ) on IAW solutions are bestowed. The results of this study are applicable to understand different dynamical behaviors of nonlinear IAWs found in the Earth’s ionosphere, such as, D-region [H+, ${\mathrm{O}}_{2}^{-}$] and F-region [H+, H−] and multipair plasma system laboratory [C+, C−].

The optimum shielding around a test charge in plasmas containing two negative ions

2011 ◽  
Vol 77 (5) ◽  
pp. 663-673 ◽  
Author(s):  
W. M. MOSLEM ◽  
R. SABRY ◽  
P. K. SHUKLA
Keyword(s):  
Acoustic Waves ◽  
Potential Distribution ◽  
Negative Ions ◽  
New Materials ◽  
Oscillatory Potential ◽  
Charge Particle ◽  
Ion Acoustic Waves ◽  
Positive Ions ◽  
Test Charge ◽  
Ion Acoustic

AbstractThis paper focuses on the progress in understanding the shielding around a test charge in the presence of ion-acoustic waves in multispecies plasmas, whose constituents are positive ions, two negative ions, and Boltzmann distributed electrons. By solving the linearized Vlasov equation with Poisson equation, the Debye–Hückel screening potential and wakefield (oscillatory) potential distribution around a test charge particle are derived. It is analytically found that both the Debye–Hückel potential and the wakefield potential are significantly modified due to the presence of two negative ions. The present results might be helpful to understand and to form new materials from plasmas containing two negative ions such as Xe+ − F− − SF−6 and Ar+ − F− − SF−6 plasmas, as well as to tackle extension of the test charge problem in multinegative ions' coagulation/agglomeration.

Nonlinear dynamics of ion acoustic waves in quantum pair-ion plasmas

2015 ◽  
Vol 81 (5) ◽  
Author(s):  
Biswajit Sahu ◽  
Barnali Pal ◽  
Swarup Poria ◽  
Rajkumar Roychoudhury
Keyword(s):  
Mach Number ◽  
Acoustic Waves ◽  
Density Ratio ◽  
Negative Ions ◽  
Negative Ion ◽  
Quantum Plasma ◽  
Ion Acoustic Waves ◽  
Ion Density ◽  
Quantum Parameter ◽  
Ion Acoustic

The nonlinear properties of the ion acoustic waves (IAWs) in a three-component quantum plasma comprising electrons, and positive and negative ions are investigated analytically and numerically by employing the quantum hydrodynamic (QHD) model. The Sagdeev pseudopotential technique is applied to obtain the small-amplitude soliton solution. The effects of the quantum parameter$H$, positive to negative ion density ratio${\it\beta}$and Mach number on the nonlinear structures are investigated. It is found that these factors can significantly modify the properties of the IAWs. The existence of quasi-periodic and chaotic oscillations in the system is established. Switching from quasi-periodic to chaotic is possible with the variation of Mach number or quantum parameter$H$.

Reflection and excitation of ion-acoustic waves in a multi-component plasma with negative ions

1994 ◽  
Vol 51 (2) ◽  
pp. 185-191 ◽  
Author(s):  
T. Ito ◽  
Y. Nakamura
Keyword(s):  
Acoustic Waves ◽  
Negative Ions ◽  
Plasma Potential ◽  
Reflection Coefficients ◽  
Metallic Plate ◽  
Ion Acoustic Waves ◽  
Positive Ions ◽  
Ion Acoustic ◽  
Potential Structure ◽  
Component Plasma

Reflection and excitation of ion-acoustic waves by a bipolar potential structure consisting of a grid and a metallic plate have been investigated experimentally in a multi-component plasma with negative ions. Reflection is observed owing to the presence of the negative ions, even if both the grid and the plate are biased negatively with respect to the plasma potential so as to collect positive ions. Reflection coefficients and excitation efficiencies are measured as a function of the bias voltage of the electrodes. The reflection coefficient becomes larger for a negative bias of the grid, and is almost constant for a positive bias of the grid as the partial pressure of SF6 gas is increased.

scholarly journals Effects of Positron Density and Temperature on Large Amplitude Ion-acoustic Waves in an Electron - Positron - Ion Plasma

1997 ◽  
Vol 50 (2) ◽  
pp. 309 ◽  
Author(s):  
Y. N. Nejoh
Keyword(s):  
Acoustic Waves ◽  
Large Amplitude ◽  
Density Ratio ◽  
Present Theory ◽  
Electron Mass ◽  
Mass Ratio ◽  
Ion Acoustic Waves ◽  
Ion Plasma ◽  
Electron Positron ◽  
Ion Acoustic

The nonlinear wave structures of large amplitude ion-acoustic waves are studied in a plasma with positrons. We have presented the region of existence of the ion-acoustic waves by analysing the structure of the pseudopotential. The region of existence sensitively depends on the positron to electron density ratio, the ion to electron mass ratio and the positron to electron temperature ratio. It is shown that the maximum Mach number increases as the positron temperature increases and the region of existence of the ion-acoustic waves spreads as the positron temperature increases. The present theory is applicable to analyse large amplitude ion-acoustic waves associated with positrons which may occur in space plasmas.

Cylindrical ion-acoustic waves in a warm multicomponent plasma

2000 ◽  
Vol 63 (4) ◽  
pp. 343-353 ◽  
Author(s):  
S. K. EL-LABANY ◽  
S. A. EL-WARRAKI ◽  
W. M. MOSLEM
Keyword(s):  
Perturbation Theory ◽  
Acoustic Waves ◽  
Vries Equation ◽  
Negative Ions ◽  
Ion Acoustic Waves ◽  
Multicomponent Plasma ◽  
Reductive Perturbation ◽  
Ion Acoustic ◽  
Ion Acoustic Solitons ◽  
Warm Plasma

Cylindrical ion-acoustic solitons are investigated in a warm plasma with negative ions and multiple-temperature electrons through the derivation of a cylindrical Korteweg–de Vries equation using a reductive perturbation theory. The results are compared with those for the corresponding planar solitons.

scholarly journals Exact Periodic Wave, Bisoliton, and Various Breather Solutions for the Zakharov Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Heng Wang ◽  
Longwei Chen ◽  
Hongjiang Liu ◽  
Shuhua Zheng
Keyword(s):  
Numerical Simulations ◽  
Acoustic Waves ◽  
Periodic Wave ◽  
Ion Acoustic Waves ◽  
Solution Structures ◽  
Ion Acoustic ◽  
Peregrine Breather

The Zakharov equations, which involve the interactions between Langmuir and ion acoustic waves in plasma, are analytically studied. By using the method of Exp-function, the periodic wave, bisoliton, Akhmediev breather, Ma breather, and Peregrine breather of the Zakharov equations are obtained. These results presented in this paper enrich the diversity of solution structures of the Zakharov equations. Furthermore, based on the numerical simulations of these solutions, some physics analysis of bisolitons and various breathers are given.

scholarly journals Ion-acoustic waves in a complex plasma with negative ions

2003 ◽  
Vol 67 (3) ◽  
Author(s):  
S. V. Vladimirov ◽  
K. Ostrikov ◽  
M. Y. Yu ◽  
G. E. Morfill
Keyword(s):  
Acoustic Waves ◽  
Negative Ions ◽  
Ion Acoustic Waves ◽  
Complex Plasma ◽  
Ion Acoustic

Nonlinear modulation of ion-acoustic waves in two-electron-temperature plasmas

2010 ◽  
Vol 76 (2) ◽  
pp. 169-181 ◽  
Author(s):  
A. ESFANDYARI-KALEJAHI ◽  
I. KOURAKIS ◽  
M. AKBARI-MOGHANJOUGHI
Keyword(s):  
Electron Temperature ◽  
Acoustic Waves ◽  
Modulational Instability ◽  
Perturbation Technique ◽  
Density Ratio ◽  
Cold Electron ◽  
Ion Temperature ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
Nonlinear Modulation

AbstractThe amplitude modulation of ion-acoustic waves is investigated in a plasma consisting of adiabatic warm ions, and two different populations of thermal electrons at different temperatures. The fluid equations are reduced to nonlinear Schrödinger equation by employing a multi-scale perturbation technique. A linear stability analysis for the wave packet amplitude reveals that long wavelengths are always stable, while modulational instability sets in for shorter wavelengths. It is shown that increasing the value of the hot-to-cold electron temperature ratio (μ), for a given value of the hot-to-cold electron density ratio (ν), favors instability. The role of the ion temperature is also discussed. In the limiting case ν = 0 (or ν → ∞), which correspond(s) to an ordinary (single) electron-ion plasma, the results of previous works are recovered.

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