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

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.

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Dust ion acoustic rogue waves in superthermal warm ion plasma

Journal of Plasma Physics ◽

10.1017/s0022377815000082 ◽

2015 ◽

Vol 81 (3) ◽

Cited By ~ 17

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.

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

Canadian Journal of Physics ◽

10.1139/cjp-2014-0449 ◽

2015 ◽

Vol 93 (8) ◽

pp. 912-919 ◽

Cited By ~ 1

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.

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Weakly dissipative dust-ion acoustic wave modulation

Journal of Plasma Physics ◽

10.1017/s0022377816000015 ◽

2016 ◽

Vol 82 (1) ◽

Cited By ~ 5

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.

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ION ACOUSTIC INSTABILITY IN DUSTY PLASMA

10.46813/2020-130-041 ◽

2020 ◽

pp. 41-46

Author(s):

Y.V. Susayev ◽

V.V. Olshansky

Keyword(s):

Computer Simulation ◽

Dusty Plasma ◽

Implicit Scheme ◽

Implicit Method ◽

Charged Dust ◽

Dust Grains ◽

Acoustic Instability ◽

Ion Acoustic ◽

Simulation Results ◽

Pic Code

The computer simulation results of the ion acoustic instability evolution in the dusty plasma are presented. The dusty plasma consists from electrons, ions, massive charged dust grains and neutral atoms. In the simulation the implicit PIC-code is used. To this code the implicit scheme of particles movement is applied, namely the direct implicit method of Langdon-Fridman. Realization of the algorithm is presented too.

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Instability of dust ion-acoustic waves in a dusty plasma containing elongated and rotating charged dust grains

Physics of Plasmas ◽

10.1063/1.1337065 ◽

2001 ◽

Vol 8 (2) ◽

pp. 661-664 ◽

Cited By ~ 9

Author(s):

P. K. Shukla ◽

D. D. Tskhakaya

Keyword(s):

Dusty Plasma ◽

Acoustic Waves ◽

Charged Dust ◽

Dust Grains ◽

Ion Acoustic Waves ◽

Ion Acoustic ◽

Dust Ion Acoustic Waves

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

Zeitschrift für Naturforschung A ◽

10.1515/zna-2021-0272 ◽

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.).

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Polarization-force-induced dust grain acceleration and intrinsic magnetization of dusty plasmas

Journal of Plasma Physics ◽

10.1017/s0022377810000243 ◽

2010 ◽

Vol 76 (5) ◽

pp. 677-680 ◽

Cited By ~ 10

Author(s):

N. SHUKLA ◽

P. K. SHUKLA

Keyword(s):

Magnetic Fields ◽

Dusty Plasma ◽

Dusty Plasmas ◽

Charged Dust ◽

Dust Grains ◽

Polarization Force ◽

Dust Grain

AbstractIt is shown that the polarization force, arising from interactions between thermal ions and highly charged dust grains, can accelerate charged dust grains and can also create spontaneous magnetic fields in a quasi-neutral dusty plasma. The present results are relevant for understanding the origin of dust grain acceleration and the generation of spontaneous magnetic fields in cosmic dusty plasmas.

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

Canadian Journal of Physics ◽

10.1139/p2012-049 ◽

2012 ◽

Vol 90 (6) ◽

pp. 525-530 ◽

Cited By ~ 6

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.

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