Weakly dissipative dust-ion acoustic wave modulation

2016 ◽  
Vol 82 (1) ◽  
Author(s):  
H. Alinejad ◽  
M. Mahdavi ◽  
M. Shahmansouri
Keyword(s):  
Modulational Instability ◽  
Physical Parameters ◽  
Ion Temperature ◽  
Ion Acoustic Wave ◽  
Ion Acoustic ◽  
Instability Growth ◽  
Combined Action ◽  
Linear Damping ◽  
Instability Regions ◽  
Dia Waves

The modulational instability of dust-ion acoustic (DIA) waves in an unmagnetized dusty plasma is investigated in the presence of weak dissipations arising due to the low rates (compared to the ion oscillation frequency) of ionization recombination and ion loss. Based on the multiple space and time scales perturbation, a new modified nonlinear Schrödinger equation governing the evolution of modulated DIA waves is derived with a linear damping term. It is shown that the combined action of all dissipative mechanisms due to collisions between particles reveals the permitted maximum time for the occurrence of the modulational instability. The influence on the modulational instability regions of relevant physical parameters such as ion temperature, dust concentration, ionization, recombination and ion loss is numerically examined. It is also found that the recombination frequency controls the instability growth rate, whereas recombination and ion loss make the instability regions wider.

Effect of nonextensive electrons on dust–ion acoustic wave self-modulation

2015 ◽  
Vol 93 (8) ◽  
pp. 912-919 ◽  
Author(s):  
N. Panahi ◽  
H. Alinejad ◽  
M. Mahdavi
Keyword(s):  
Modulation Instability ◽  
Wave Number ◽  
Dust Particles ◽  
Charged Dust ◽  
Ion Temperature ◽  
Ion Acoustic Wave ◽  
Envelope Solitons ◽  
Ion Acoustic ◽  
The Stability ◽  
Dia Waves

Nonlinear self-modulation of dust–ion acoustic (DIA) waves is studied in an unmagnetized dusty plasma comprising warm adiabatic ions, arbitrarily charged dust particles, and hot nonextensive q-distributed electrons. By employing the multiple space and time scales perturbation, a nonlinear Schrödinger equation is derived for the evolution of the wave amplitude. The existence along with the stability of wave packets are discussed in the parameter space of two oppositely charged dust and ion temperature over different ranges of the nonextensive parameter q. The growth rate of the modulation instability is also given for different values of the q parameter. It is found that the critical wave number at which the instability sets in increases as the nonextensive parameter q increases. This leads to a wider range (in spatial extension) of the stable envelope solitons. It is also found that the effects of ion temperature and negative (positive) dust concentration significantly modify the criteria for the modulation instability of DIA waves. Our finding should elucidate the nonlinear electrostatic structures that propagate in astrophysical and cosmological plasma scenarios where nonextensive particles exist: such as instellar plasma, stellar polytropes, cosmic radiation, and systems with long-rang interaction.

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.

Nonlinear interaction of slow Alfvén wave with ion acoustic wave and applications to space plasma

2013 ◽  
Vol 79 (5) ◽  
pp. 833-836 ◽  
Author(s):  
B. K. DAS ◽  
R. P. SHARMA ◽  
N. YADAV
Keyword(s):  
Acoustic Waves ◽  
Analytical Study ◽  
Pump Wave ◽  
Modulational Instability ◽  
Solar Wind Plasma ◽  
Alfven Wave ◽  
Ion Acoustic Waves ◽  
Ion Acoustic Wave ◽  
Ion Acoustic ◽  
Model Equations

AbstractThe paper is concerned with the analytical study of nonlinear coupling of slow Alfvén wave (SW) with ion acoustic waves (IAWs) in high-β and low-β plasmas. Here the pump wave (SW) number density gets perturbed in the presence of IAW. The model equations of IAW and SW turn out to be the modified Zakharov system of equations when the ponderomotive nonlinearities are incorporated in the IAW and SW dynamics. Growth rate of modulational instability has been calculated. The relevance of these investigations for solar wind plasma and solar coronal plasma has also been discussed.

Modulational instability of a weakly relativistic ion acoustic wave in a warm plasma with nonthermal electrons

2003 ◽  
Vol 12 (7) ◽  
pp. 759-764 ◽  
Author(s):  
S. K El-Labany ◽  
M. S. Abdel Krim ◽  
S. A El-Warraki ◽  
W F.El-Taibany
Keyword(s):  
Acoustic Wave ◽  
Modulational Instability ◽  
Ion Acoustic Wave ◽  
Nonthermal Electrons ◽  
Ion Acoustic ◽  
Warm Plasma

Ion-acoustic wave induced convective cells

1981 ◽  
Vol 25 (3) ◽  
pp. 451-457 ◽  
Author(s):  
P. K. Shukla ◽  
M. Y. Yu
Keyword(s):  
Acoustic Wave ◽  
Growth Rates ◽  
Modulational Instability ◽  
Finite Amplitude ◽  
Two Dimensional ◽  
Ion Acoustic Wave ◽  
Ion Acoustic ◽  
Convective Cells ◽  
Plasma Vortices ◽  
Wave Induced

It is shown that a finite-amplitude ion-acoustic wave in a uniform magneto- plasma can enhance two-dimensional plasma vortices. The latter results from a modulational instability. The growth rates are obtained analytically.

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.

Ion acoustic soliton in weakly relativistic magnetized electron–positron–ion plasma

2009 ◽  
Vol 87 (8) ◽  
pp. 861-866 ◽  
Author(s):  
Tarsem Singh Gill ◽  
Amandeep Singh Bains ◽  
Narsehpal Singh Saini
Keyword(s):  
Vries Equation ◽  
Reductive Perturbation Method ◽  
Ion Temperature ◽  
Ion Acoustic Wave ◽  
Ion Plasma ◽  
Electron Positron ◽  
Relativistic Factor ◽  
Ion Acoustic ◽  
Warm Plasma ◽  
Ion Acoustic Soliton

A theoretical investigation was made for the ion acoustic wave in a weakly relativistic magnetized electron-positron-ion warm plasma. A Korteweg-de vries equation (KdV) is derived by using a standard reductive perturbation method. It is found that the presence of ion temperature (σ), ratios of positron-to-electron density (β), electron-to-positron temperature (α), and relativistic factor (Ur) significantly modify solitonic behavior. The authors observed that these parameters considerably change the amplitude and width of the solitary wave.

Sign in / Sign up

Export Citation Format

Share Document