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.

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.

Dust ion acoustic rogue waves in superthermal warm ion plasma

2015 ◽  
Vol 81 (3) ◽  
Author(s):  
Shalini ◽  
N. S. Saini
Keyword(s):  
Modulational Instability ◽  
Random Perturbation ◽  
Collisionless Plasma ◽  
Rogue Waves ◽  
Dust Concentration ◽  
Wave Number ◽  
Charged Dust ◽  
Critical Wave Number ◽  
Ion Temperature ◽  
Ion Acoustic

The properties of dust ion acoustic rogue waves (DIARWs) in an unmagnetized collisionless plasma system composed of charged dust grains, superthermal electrons and warm ions as a fluid are studied. The multiple scale perturbation method is used to derive a nonlinear Schrödinger equation (NLSE) for DIARWs. From the coefficients of nonlinearity and dispersion, we have determined the critical wave number threshold kcr at which modulational instability sets in. This critical wave number depends on the various plasma parameters, viz. superthermality of electrons, ion temperature and dust concentration. Within the modulational instability region, a random perturbation of amplitude grows and thus, creates DIARWs. It is found that DIARWs are significantly affected by electron superthermality (via κ), ion temperature (via σ) and dust concentration (via f). In view of the crucial importance of DIARWs in space environments, our results may be useful in understanding the basic features of DIARWs that may occur in space plasmas.

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.

Cylindrical or spherical dust-ion acoustic soliton in an adiabatic dusty plasma with electrons following a q-nonextensive distribution

2012 ◽  
Vol 90 (6) ◽  
pp. 525-530 ◽  
Author(s):  
Parvin Eslami ◽  
Marzieh Mottaghizadeh ◽  
Hamid Reza Pakzad
Keyword(s):  
Dusty Plasma ◽  
Kdv Equation ◽  
Perturbation Technique ◽  
Dust Particles ◽  
Ion Temperature ◽  
Ion Acoustic ◽  
Nonextensive Distribution ◽  
Ion Acoustic Soliton ◽  
Adiabatic Dusty Plasma ◽  
Dia Waves

Using the reductive perturbation technique, a cylindrical and (or) spherical Korteweg – de Vries (KdV) equation is derived for a dust-ion acoustic solitary wave (DIASW) in an unmagnetized dusty plasma, whose constituents are adiabatic ion fluid, nonextensive electrons, and negatively charged static dust particles. The solution of the modified KdV equation in nonplanar geometry is numerically analyzed. The change of the DIASW structure due to the effect of the geometry, nonextensive parameter, dust density, and ion temperature is investigated by numerical calculation of the cylindrical and (or) spherical KdV equation. It is found that both compressive and rarefactive type DIA waves are obtained depending on the plasma parameter.

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.

Collisional drift waves in the presences of coherent ion acoustic or Langmuir waves

1971 ◽  
Vol 6 (3) ◽  
pp. 527-540 ◽  
Author(s):  
M. Dobrowolny ◽  
P. Negrini
Keyword(s):  
Acoustic Wave ◽  
Wave Spectrum ◽  
Langmuir Wave ◽  
Drift Waves ◽  
Langmuir Waves ◽  
Ion Acoustic Wave ◽  
Linear Interaction ◽  
Drift Wave ◽  
Ion Acoustic ◽  
The Stability

The dispersion properties of drift waves in a low β weakly collisional plasma, in the presence of ion acoustic or Langmuir waves parallel to magnetic lines, are investigated. It is shown that the non-linear interaction with an ion acoustic wave mainly leads to a shift of the drift wave spectrum towards lower frequencies (and only under very particular conditions affects the stability of the drift wave). The interaction with a Langmuir wave, on the contrary, yields a contribution to the imaginary part of the frequency. The conditions under which this stabilizes unstable drift modes are derived and discussed.

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