Propagation Of Dust Ion-acoustic Waves Research Articles

Effect of dust polarity on transcritical bifurcation of dust ion-acoustic waves in a nonextensive dusty plasma

In this paper, we combine bifurcation techniques and numerical simulations to fully analyze the nonlinear propagation of dust ion-acoustic waves in a complex dusty plasma consisting of warm adiabatic ions, nonextensive electrons, and negatively (positively) charged dust particles. An autonomous dynamical system is derived which captures the main features of traveling wave solutions and transition between nonlinear modes. It is shown that for a range of electron nonextensivity and negative (positive) dust concentration, there are different existence domains of stability regions. At the critical points of nonextensivity parameter and dust concentration, we show that the motion dynamics of low-frequency dust ion-acoustic traveling waves undergoes a transcritical bifurcation, where two equilibrium points coalesce, and then switch their stability. A new kind of solitary structure is also observed which is characterized by the transcritical bifurcation parameters with half-stable equilibrium points. It is found that an increase in negative (positive) dust concentration leads to the appearance of bifurcation points at larger (smaller) values of electron nonextensivity. In accordance with the phase portraits analysis, the coexistence of homoclinic orbits, nonlinear periodic and supernonlinear periodic orbits are also investigated for different conditions. It is shown that the nonextensive parameter and dust polarity play a crucial role in the transition between nonlinear traveling waves.

Dynamics of dust-ion acoustic cnoidal and solitary pulses in a magnetized collisional complex plasma

ABSTRACT The diagnostic of magnetized radio frequency complex plasma via probing techniques and spectroscopy is challenging. However, a self-excited dust ion acoustic waves (DIAWs) have been observed employing laser scattering. Inspired by the current high enthusiasm for the theoretical description of complex plasma, we study the propagation of DIAWs in a three-dimensional collisional and magnetized dusty plasma medium. We consider the fluid model for dust and ion particles, while we neglect the inertia of electrons considering the Boltzmann distribution. A linear dispersion relation is obtained and a nonlinear modified Zakharov–Kuznetsov equation is derived utilizing the reductive perturbation technique. The effects of ion-neutral and dust-neutral collisions on the dynamics of the nonlinear DIAWs are considered. The phase portrait analysis and numerical illustration of a rarefactive DIA cnoidal waves and solitons are also presented. Our findings agree with experimental observations by Choudhary M, Bergert R, Mitic S, and Thomas MH. [Influence of external magnetic field on dust acoustic waves in a capacitive rf discharge. Contrib Plasma Phys. 2020;60:e201900115] as the growth of nonlinear periodic waves is recorded when the magnetic field is roughly 0.05 T and vanishes when the magnetic field is close to 0.1 T. Moreover, the model reveals that the electrostatic cnoidal and soliton waves propagate with low frequencies up to 140 Hz.

Three-dimensional Nonlinear Structures in Magnetized Complex Plasmas

A three-dimensional multi-component magneto-plasma system consisting of hybrid nonextensive-nonthermal-distributed electrons, positive ions, and immobile negatively charged dust grains is considered to examine the modulational instability (MI) of dust ion-acoustic waves (DIAWs). The reductive perturbation method, which is valid for small but finite amplitude DIAWs, is employed to derive the (3 + 1)-dimensional nonlinear Schrodinger equation (NLSE). The NLSE leads to the MI of DIAWs as well as the formation of dust ion-acoustic rogue waves (DIARWs), which are formed due to the effects of nonlinearity in the propagation of DIAWs. It is found that the basic features (viz. amplitude and width) of the DIAWs and DIARWs (which is formed in the unstable region) are significantly modified by the various plasma parameters such as non-extensive (non-thermal) parameter q(α), number densities of plasma species, threshold modulational obliqueness ($${{\theta }_{c}}$$), etc. The application of the results in space and laboratory magneto-plasma system is briefly discussed.

Zakharov Kuznetsov equation for four component dust magnetoplasma using the multi-fluid concept

The present article aims to put forward a theoretical and numerical investigation of linear and nonlinear dust ion acoustic (DIA) waves in a four component magnetized dusty plasma by using the multi-fluid concept. In particular the dynamics of low amplitude DIA solitons is investigated via the Zakharov Kuznetsov type nonlinear evolution equation derived by employing the reductive perturbation technique. We consider two cases. The first one considers the existence and propagation of DIA waves in a four component dusty plasma when the ions are inertial while the dust particulates are assumed to be stationary, while in the second case the ions and both positively and negatively charged dust grains are assumed as inertial species. Electrons in both cases are considered to be isothermal. It is observed that both the positive and negative solitons are coexisted in the present plasma model. The characteristics of DIA solitons in both cases are investigated with effect of the both positive and negative dust concentrations, magnetic field and different temperature ratios. By using the small-k expansion method the soliton stability analysis is carried out for both cases. It appears timely to add that the theoretical results presented herein are supported by the numerical analysis and illustrations. The relevance of the study carried out to the laboratory and cosmic plasmas is also pointed out.

ROLE OF TRAPPED ELECTRONS IN THE PROPAGATION OF DUST-ION ACOUSTIC WAVES IN MAGNETIZED DUSTY ELECTRONEGATIVE PLASMA

A theoretical investigation has been conducted concerning the nonlinear propagation of dust-ion acoustic waves in magnetized three-component dusty electronegative plasma consisting of Boltzmann negative ions, adiabatic positive ions, & negatively charged stationary dust & vortex-like distributed electrons. In this paper, the nonlinear propagation of dust-ion acoustic (DIA) solitary waves in a magnetized dusty electronegative plasma with trapped electrons is investigated. Due to the presence of trapped electrons, the electron distribution function with the vortex-like distribution has been introduced. The stationary solution of the KdV equation (i.e. DIA solitons) in this plasma is found & the influence of different parameters on the amplitude & width of DIA solitons is investigated. In these regions, due to the presence of a high density of dust grains, different types of collective processes exist & very rich wave modes can be excited. One of these is low-frequency dust ion-acoustic (DIA) waves. Shukla & Silin have shown the existence of dust-ion-acoustic (DIA) waves in a dusty plasma containing boltzmann electrons, mobile ions, & negatively charged stationary dust theoretically.

Effects of adiabaticity and non-adiabaticity of dust charge fluctuation on the propagation of the dust ion acoustic waves in inhomogeneous dusty plasma

A theoretical investigation has been made for adiabatic positive and negative dust charge fluctuations on the propagation of dust-ion acoustic waves (DIAWs) in a weakly inhomogeneous, collisionless, unmagnetized dusty plasmas consisting of cold positive ions, stationary positively and negatively charged dust particles and isothermal electrons. The reductive perturbation method is employed to reduce the basic set of fluid equations to the variable coefficients Korteweg–de Vries (KdV) equation. Either compressive or rarefactive solitons are shown to exist depending on the critical value of the ion density, which in turn, depends on the inhomogeneous distribution of the ion. The dissipative effects of non-adiabatic dust charge variation has been studied which cause generation of dust ion acoustic shock waves governed by KdV-Burger (KdVB) equation. The results of the present investigation may be applicable to some dusty plasma environments, such as dusty plasma existing in polar mesosphere region.

Effect of dust charge fluctuation on the propagation of dust-ion acoustic waves in inhomogeneous mesospheric dusty plasma

Investigation of positive and negative dust charge fluctuations on the propagation of dust-ion acoustic waves (DIAWs) in a weakly inhomogeneous, collisionless, unmagnetized dusty plasmas consisting of cold positive ions, stationary positively and negatively charged dust particles and isothermal electrons. The reductive perturbation method is employed to reduce the basic set of fluid equations to the variable coefficients Korteweg–de Varies (KdV) equation. At the critical ion density, the KdV equation is not appropriate for describing the system. Hence, a new set of stretched coordinates is considered to derive the modified variable coefficients KdV equation. It is found that the presence of positively charged dust grains does not only significantly modify the basic properties of solitary structure, but also changes the polarity of the solitary profiles. In the vicinity of the critical ion density, neither KdV nor the modified KdV equation is appropriate for describing the DIAWs. Therefore, a further modified KdV equation is derived, which admits both soliton and double layer solutions.

Nonlinear propagation of dust ion-acoustic waves in a dusty quantum magnetoplasma

AbstractA quantum magnetohydrodynamic model is used to investigate the nonlinear propagation of dust ion-acoustic waves in a three-component quantum plasma composed of electrons, positively charged ions and immobile charged dust grains. Using the standard reductive perturbation technique, a Korteweg–de Vries equation is derived containing the quantum statistical and diffraction effects. There exists a critical value of the non-dimensional parameter H, proportional to the quantum diffraction, beyond which the bright soliton propagation is not possible with positive phase velocity. The effects of obliqueness, charged dust impurity and external magnetic field as well as the quantum mechanical effects are investigated numerically on the profiles of the amplitude and width of the solitary waves.

Propagation of Ion-Acoustic Wave in an Inhomogeneous DustyPlasma with Dust Charge Fluctuation

The propagation of dust ion-acoustic wave in an inhomogeneous dustyplasma is studied by taking the dust charge fluctuation and collisionsinto account. It is shown that the dust charge fluctuation brings aphase shift to the wave. Furthermore, because of the presence of dustcharge fluctuation, a new damping term rises, which makes the dampingmore sharply.

Saddle-node bifurcation and modulational instability associated with the pulse propagation of dust ion-acoustic waves in a viscous dusty plasma: A complex nonlinear Schrödinger equation

Using the standard reductive perturbation technique, a nonlinear Schrödinger equation (NLSE) with complex coefficients is derived in a dusty plasma consisting of positive ions, nonthermal electrons, and charged dust grains. The effect of ion kinematic viscosity is taken into consideration, which makes the coefficients of NLSE complex. By means of a matching approach, the appearance mechanism of static pulses through a saddle-node bifurcation in the complex nonlinear Schrödinger equation is studied analytically. The analytical results are in good agreement with the direct numerical simulation. The modulational instability analysis is carried out for the dust ion-acoustic envelope solitary waves. The important role of the real part of the complex group velocity in the propagation of the one-dimensional wave packets in homogeneous active medium is predicted.