Instability Of Dust Acoustic Waves Research Articles

Modulational Instability of Dust Acoustic Waves in Non-Maxwellian Strongly Coupled Dusty Plasmas

Modulational Instability of Dust Acoustic Waves in Non-Maxwellian Strongly Coupled Dusty Plasmas

Instability analysis and face‐to‐face collision of dust acoustic waves in dusty plasmas: Perspective Jupiter environment

AbstractThe collisionless unmagnetized five components dusty plasmas have been considered to study the significance of the face‐to‐face collision of single‐ and multi‐solitons, phase shifts due to face‐to‐face collision, and instability of the dust acoustic waves in Jupiter's environment. To study the consequence of face‐to‐face collision extended Poincaré–Lighthill–Kuo method is used to derive the two‐sided nonlinear Korteweg–De Vries (KdV) equation. Besides, to investigate the dust acoustic wave's instability, the nonlinear Schrödinger equation has been derived following the procedure of Slathia et al. The multi‐soliton solutions are determined by employing the Hirota bilinear method. The concerned parameters in the issue play a crucial role in the phase shift (generated by the face‐to‐face collision); the collisional process of single‐, double‐, triple‐, and quadruple‐soliton; and the generation of dust acoustic solitons. Furthermore, the plasma parameters are crucial in the formation of dark solitons and envelop shocks.

Instability of Dust Acoustic Waves in a Dusty Plasma with Dust Charge Variations and Two Different Temperatures for Both Electrons and Ions

Instability of Dust Acoustic Waves in a Dusty Plasma with Dust Charge Variations and Two Different Temperatures for Both Electrons and Ions

Modulational Instability of Dust Acoustic Waves in an Opposite Polarity Dusty Plasma in the Presence of Generalized Polarization Force with Superthermal Electrons and Ions

Modulational Instability of Dust Acoustic Waves in an Opposite Polarity Dusty Plasma in the Presence of Generalized Polarization Force with Superthermal Electrons and Ions

Comment on “Multi-dimensional Instability of Dust Acoustic Waves in Magnetized Quantum Plasmas with Positive or Negative Dust”

Comment on “Multi-dimensional Instability of Dust Acoustic Waves in Magnetized Quantum Plasmas with Positive or Negative Dust”

Multi-dimensional instability of dust acoustic waves in magnetized quantum plasmas by two-fluid quantum hydrodynamics model

Multi-dimensional instability of dust acoustic waves in magnetized quantum plasmas by two-fluid quantum hydrodynamics model

Three-dimensional modulational instability of dust acoustic waves in the presence of generalized (r, q) distributed electrons

A three-dimensional (3D) modulational instability (MI) of dust acoustic waves (DAWs) in a three-component magnetized dusty plasma system consisting of a negatively charged fluid, inertialess generalized (r, q) distributed electrons and Boltzmann distributed ions, is investigated. The basic system of the nonlinear hydrodynamic equations is reduced to a 3D nonlinear Schrödinger equation (NLS) which is valid for small but finite amplitude DAWs using a reductive perturbation technique. The domain of the stability and instability regions is investigated that is strongly affected by the spectral parameters of the generalized (r, q) distribution and the electron-to-ion temperature ratio (T e /T i ). The existence domains for observing the first-and second-order solutions of the dust acoustic rogue waves (DARWs) are determined and the basic features (viz the width and amplitude) for the first-order solution are found to be significantly dependent on the system physical parameters changes such as T e /T i , number density ratio [n e0/(n d0 z d0)] and the dust cyclotron frequency (ω cd ) as well as the spectral indexes r and q. A comparison between the first-and second-order DARW amplitudes is presented. Moreover, another comparison between the first-order DARW amplitudes obtained by generalized (r, q) distributed electrons and those corresponds to Maxwellian is provided. Finally, implication of our consequences in specific plasma situations are briefly discussed.

Multi-dimensional Instability of Dust Acoustic Waves in Magnetized Quantum Plasmas with Positive or Negative Dust

A survey of dust acoustic waves (DAWs) in magnetized dusty plasmas composed of negatively or positively charged mobile dust and intertialess quantum electrons as well as ions is presented. The Zakharov-Kuznetsov (ZK) equation is derived via reductive perturbation technique. The solitary wave solution of ZK equation is given and the numerical analysis of the solution with parameters in dust crystals is performed to study the properties of the DAWs with positive or negative dust. The multi-dimensional instability of these solitary waves is investigated via small-k perturbation method. The instability criterion and growth rate relying on obliqueness, the density ratio between ions and dust, the dust cyclotron frequency, the Fermi temperature ratio between electrons and ions, and quantum diffraction parameter are discussed for both cases. The implications of these results to the interior of white dwarf stars and magnetars have been briefly discussed.

Dust-Acoustic Rogue Waves in Opposite Polarity Dusty Plasma Featuring Nonextensive Statistics

Modulational instability of dust-acoustic waves, which propagate in an opposite polarity dusty plasma system containing inertial warm negatively and positively charged massive dust grains as well as nonextensive q-distributed electrons and ions has been theoretically investigated. The nonlinear Schrodinger equation is derived by employing the reductive perturbation method. The nonlinear Schrodinger equation predicts the conditions of the modulational instability of dust-acoustic waves and the formation of dust-acoustic rogue waves in a nonlinear and dispersive plasma medium. It is observed that the basic features of the dust-acoustic rogue waves (viz., amplitude and width) are significantly modified by the various plasma parameters such as nonextensivity of electrons and ions, electron number density, electron temperature, ion number density, ion temperature, the mass and number density of the dust grains, etc. The application of the results in space and laboratory opposite polarity dusty plasma is briefly discussed.

The evolution of rogue wave triplets and super rogue waves in superthermal polarized space dusty plasma

This present investigation has been instigated to examine the impact of polarization force on modulational instability of dust acoustic (DA) waves and transition of rogue wave triplets to super rogue waves in dusty plasma composed of negative dust as fluid, Boltzmannian electrons, and superthermal ions. The presence of superthermal ions has remarkably altered the impact of polarization force. An increment in ion superthermality index restricts the polarization parameter toward smaller values. By adopting the reductive perturbation technique, the nonlinear Schrödinger equation (NLSE) is procured that determines the modulational instability of the dust acoustic waves. It is observed that the effect of polarization force is constricted by the wavenumber domain in the advent of the instability region. The rational solution of NLSE describes the evolution of dust acoustic rogue wave triplets, which further transform into the super rogue waves by means of superposition of triplets. It is remarked that the amalgamation of polarization force and superthermal ions have an explicit impact on the characteristics of different kinds of dust acoustic rogue waves. It is intensified that our present theoretical pronouncements may shed light on the salient features of different kinds of DA rogue waves in laboratory experiments and space/astrophysical regions, especially in Saturn's magnetosphere, planetary rings, and comet tails, etc.

Linear instability of dust acoustic waves in a magnetized gravitating plasma in the presence of dust streaming

Linear instability of dust acoustic waves (DAWs) has been theoretically studied in a collisionless gravitating dust-ion magnetized plasma including the effect of dust streaming. A linear dispersion relation has been derived by using the method of normal mode analysis. Gravitational effect is found to make the low-frequency DAW mode linearly unstable in certain parametric regions. The dependence of the growth rate of the instability on various plasma parameters such as streaming of dust particles, size of the dust grain, strength of the magnetic field, obliqueness of propagation, and number density of dust particles has been numerically analyzed and presented graphically.

Existence and stability of modulated dust-acoustic wave packets in the presence of nonthermal ions

The effects of dust temperature and energetic (nonthermal) ions are incorporated in the study of modulated instability of dust-acoustic (DA) waves in a dusty plasma containing warm adiabatic dust grains, isothermal electrons and hot ions obeying a nonthermal distribution. Based on the multiple space and time scales perturbation, a nonlinear Schrödinger equation is derived with a solution showing a new relationship between the modulated DA wave packets and ion nonthermality. It is shown that as the population of fast ions increases, the transition from stable dark envelope solitons to unstable ones shifts to the smaller wavelength regions. The instability growth rate reduces owing to the presence of nonthermal ions. It is also found that the effects of dust temperature and electron concentration modify the criteria for the modulational instability of DA waves. The results could be useful for understanding the properties of modulated wave packets and their evolution in space and laboratory dusty plasmas, such as those in and around the Earth’s foreshock.

Dust acoustic instability with non-extensive distribution

AbstractThe instability of dust acoustic waves driven by electrons and ions with different drift velocities in dusty non-extensive plasma is investigated based on the kinetic theory. The non-extensivity parameters of non-extensive distribution for three plasma components are different from each other. The instability growth rate is shown to be dependent on the non-extensivity parameters as well as on the ion--electron number density ratio. In the extensive limit (q=1), the result in Maxwellian distribution plasma is recovered. The instability growth rate is found to decrease as the population of suprathermal electrons and dust grains increases, but it enhances when the number of suprathermal ions increases and electron density decreases.

Dust acoustic instability with Lorentzian kappa distribution

The instability of dust acoustic waves (DAWs) driven by ions and electrons with different drift velocities in an unmagnetized, collisionless, isotropic dusty plasma was investigated based on kinetic theory. The electrons, ions and dust particles are all modeled by using the generalized Lorentzian kappa distributions. It is found that the instability growth rate depends not only on the mass, temperature, density ratios of the components and ion–electron drift velocity ratio, but also on the spectral index for each component. The effects of the indices on the instability growth rate of DAWs have been discussed in detail.

Current-less solar wind driven dust acoustic instability in cometary plasma

A quantitative analysis is presented of the dust acoustic wave instability driven by the solar and stellar winds. This is a current-less kinetic instability which develops in permeating plasmas, i.e.., when one quasi-neutral electron-ion wind plasma in its propagation penetrates through another quasi-neutral plasma which contains dust, electrons, and ions.

Nonthermal effects on the resonant instability of the dust-acoustic wave in a semi-bounded Lorentzian dusty plasma

The nonthermal effects on the resonant instability of the surface dust-acoustic wave are investigated in a semi-bounded Lorentzian dusty plasma containing elongated rotating dust grains. It is found that the nonthermal effects reduce the frequency domain and enhance the growth rate of the resonant instability for the case of positively charged dust grains. For negatively charged dust grains, however, the nonthermal effects on the frequency domain and the growth rate are found to be negligible. It is also found that the growth rates of the resonant instabilities in nonthermal plasmas would be greater than those in thermal plasmas.

Effects of Rotating Nanoparticles on the Instability of Dust-Acoustic Waves in a Plasma Containing Superthermal Electrons and Ions

Charged particles with sizes ranging from tens of nanometer to tens of micrometer are created in various situations such as DC discharges, rf discharges, laser-driven plasmas, processing plasmas used in device fabrications, as well as in space such as interstellar clouds, solar system, etc. In general, a large number of background electrons could stick onto the nanoparticle surface during the charging processes and as a result a significant depletion of the electron number density can be encountered. If charged non-spherical nanoparticles are created, they can rotate due to the interaction with surrounding plasmas or oscillating electric field. Therefore, a significant modification of the conventional plasma wave dispersion relations might be necessary for the complex plasma that consists of electrons, ions and nanoparticles. In this work, the growing of dust-acoustic wave is investigated in the presence of the nanoparticles in a superthermal plasma. Full spectrums of the growth rate of the dust-acoustic wave is obtained and analyzed to investigate the effect of nanoparticle rotation. The superthermal plasma effect on the growth rate is also analyzed. The growth rate was found to be enhanced by the rotation of nanoparticles, but suppressed by the superthermal plasmas.

The effect of negative ions on the dust acoustic wave in dusty electronegative plasma with positively charged dust grains

The effect of negative ions on the modulational instability properties of nonlinear dust acoustic (DA) waves in the electronegative dusty plasmas was investigated by considering Boltzmann-distributed electrons, negative ions, positive ions as well as positively charged dust grain under the ultraviolet irradiation. It is shown that the modulational instability properties of the DA waves were strongly affected by the temperature and proportion of negative ions. The modulational instability can occur only if the proportion of negative ions was smaller than critical value. The instability growth rate has a maximum value when the proportion of negative ions was a critical one in the unstable region. The effect of photoelectron generated by ultraviolet irradiation on the modulational instability of dust acoustic waves was also discussed by numerical method.

Modulational instability of dust acoustic waves in dusty plasmas with ultraviolet irradiation and nonadiabatic dust charge variation

The combined effects of nonadiabatic dust charge fluctuation, ultraviolet irradiation, and transverse perturbation on the modulational instability of nonlinear dust acoustic (DA) waves in dusty plasma consisting of Boltzmann-distributed electrons, ions, as well as positively charged dust grain were presented here. By using the reductive perturbation technique, a three-dimensional modified Davey–Stewartson equation governing the nonlinear waves is derived. It is shown that the modulation properties of the DA waves were strongly affected by the nonadiabatic dust charge variation and photoelectrons and there was a maximum time for the modulational instability.

The instability of dust acoustic waves in inhomogeneous dusty plasmas with non-adiabatic dust charge fluctuation

This paper investigates the propagation of linear dust acoustic waves in inhomogeneous dusty plasmas due to spatial gradients of dust charge, plasma densities. A linear dispersion relation is obtained with the non-adiabatic dust charge fluctuation and the non-thermally distributed ions. The numerical results show that the inhomogeneity, non-thermal ions and non-adiabatic dust charge fluctuation have strong influence on the frequency and the damping rate of waves.