Nonlinear dust-acoustic wave propagation in a Lorentzian dusty plasma in presence of negative ions
TL;DR: In this article, the effect of the density and temperature of negative ions on the nonlinear dust-acoustic wave propagation in a Lorentzian dusty plasma was studied and an unstable potential has been predicted from this analysis when the negative ion population is high and the dust charge variation is non-adiabatic.
Abstract: In this paper we have studied the effect of the density and temperature of negative ions on the nonlinear dust-acoustic wave propagation in a Lorentzian dusty plasma. We have considered both adiabatic and non-adiabatic dust charge variation. The presence of both low and high populations of negative ions are considered. Separate models have been developed because the two populations give rise to opposite polarity of grain charges. In both models electrons are assumed to follow a kappa velocity distribution while the positive and negative ions satisfy a Maxwellian velocity distribution. Adiabatic dust charge variation shows the propagation of a dust-acoustic soliton in cases of both a high and low population of negative ions whose amplitude depends on the negative ion temperature and negative ion density. On the other hand, non-adiabatic dust charge variation generates a stable oscillatory dust-acoustic shock when the negative ion population is low. An unstable potential has been predicted from this analysis when the negative ion population is high and the dust charge variation is non-adiabatic.
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11 Jun 2021
TL;DR: In this paper, the standard nonlinear Schrodinger equation is used 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.
Abstract: The standard nonlinear Schrodinger 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.
14 citations
TL;DR: In this paper, the authors investigated nonlinear dust-acoustic waves (DAWs) in a four-component unmagnetized electron-ion dusty plasma composed of fluid dust species, the Maxwellian positive, and negative ions with $q$ -nonextensive electrons.
Abstract: Investigation of nonlinear dust-acoustic waves (DAWs) in a four-component unmagnetized electron–ion dusty plasma composed of fluid dust species, the Maxwellian positive, and negative ions with $q$ -nonextensive electrons is performed. The dust charge variation is considered for both adiabatic and nonadiabatic cases. For the nonadiabatic case, the Korteweg-de Vries–Burgers (KdV-B) equation is obtained utilizing the reductive perturbation technique (RPT). Implementing the traveling wave transfiguration, the KdV-B equation is transformed into a planar dynamical system (PDS). Implementing the phase plane theory of PDS, qualitative phase portrait profiles of a stable spiral for the corresponding system are presented. The effects of relevant physical parameters are shown on the DAW behavior. Dynamical features, such as quasiperiodic and chaotic motions of the system, are presented via a numerical investigation in the presence of an extraneous periodic force. Sensitivity analysis and the box-counting dimensions for chaotic profiles are presented.
10 citations
Cites background or methods from "Nonlinear dust-acoustic wave propag..."
...The normalized model equations for propagation of DAWs are given as [26]...
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...The density of electrons is comparatively higher than density of negative ions [26]....
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...While other parameters are considered as in [26], temperatures of electrons and ions lie between 1500 K and 4000 K [68] and 1000 K and 3000 K [69] and the temperature ratio σn = 0....
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TL;DR: In this article, the propagation characteristics of small-amplitude dust-acoustic (DA) solitary waves (SWs) and shocks are studied in an unmagnetized dusty plasma with a pair of trapped positive and negative ions.
Abstract: The propagation characteristics of small-amplitude dust-acoustic (DA) solitary waves (SWs) and shocks are studied in an unmagnetized dusty plasma with a pair of trapped positive and negative ions. Using the standard reductive perturbation technique with two different scaling of stretched coordinates, the evolution equations for DA SWs and shocks are derived in the forms of complex Korteweg-de Vries (KdV) and complex Burgers' equations. The effects of dust charge variation, the dust thermal pressure, and the ratios of positive to negative ion number densities as well as the free to trapped ion temperatures on the profiles of SWs and shocks are analysed and discussed.
8 citations
References
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TL;DR: In this paper, a balance of dust particle inertia and plasma pressure is investigated and it is shown that these waves can propagate linearly as a normal mode in a dusty plasma, and non-linearly as supersonic solitons of either positive or negative electrostatic potential.
1,940 citations
Book•
15 Nov 2001
TL;DR: The book Introduction to Plasma Physics by Shukla and Mamun as discussed by the authors deals with various aspects of collective processes in dusty plasmas and provides a handbook on waves and instabilities in the coming years.
Abstract: The book Introduction to Plasma Physics by Shukla and Mamun deals with various aspects of collective processes in dusty plasmas. The first introductory chapters review dust charging and the forces on dust grains in the plasma. The next two chapters give an elaborate description of the various waves and instabilities present in plasmas. In our opinion this makes the book a must for scientists involved in dusty plasma research as for the first time these phenomena are clearly explained and catalogued in a single work. Magnetic as well as non-magnetic plasmas are treated and where applicable examples from laboratory or space plasmas are given. The text is suitable for graduate level teaching as well as referencing purposes. The authors state in the preface: `This book has grown out of research work on topics on which the authors have spent a considerable amount of time and thought.' This explains the final chapters of the book, where `hot topics' on respectively elongated grains, non-linear waves and dust crystals are discussed. Since these chapters deal with state-of-the-art research, the results are inevitably not presented in a systematic way, but rather as a compilation of recent papers. Throughout the book the subject is treated using a theoretical approach. This makes it complementary to the book Dusty Plasmas: Physics, Chemistry and Technological Impacts in Plasma Processing edited by A Bouchoule which takes an applied approach. The research on dusty plasmas is a relatively new and rapidly expanding area of science. This book will serve as a handbook on waves and instabilities dusty plasmas in the coming years. But the character of the last chapters shows that more is to come in this exciting field of research. E Stoffels and W W Stoffels
1,734 citations
TL;DR: The processes that lead to charging of dust grains in a plasma are briefly reviewed in this article, where it is shown that the radial transport of dust contained in the spokes may be responsible for the rich radial structure in Saturn's rings.
Abstract: The processes that lead to charging of dust grains in a plasma are briefly reviewed. Whereas for single grains the results have been long known, the reduction of the average charge on a grain by 'Debye screening' has only recently been discovered. This reduction can be important in the Jovian ring and in the rings of Uranus. The emerging field of gravitoelectrodynamics which deals with the motion of charged grains in a planetary magnetosphere is then reviewed. Important mechanisms for distributing grains in radial distance are due to stochastic fluctuations of the grain charge and a systematic variation due to motion through plasma gradients. The electrostatic levitation model for the formation of spokes is discussed, and it is shown that the radial transport of dust contained in the spokes may be responsible for the rich radial structure in Saturn's rings. Finally, collective effects in dusty plasmas are discussed which affect various waves, such as density waves in planetary rings and low-frequency plasma waves. The possibility of charged grains forming a Coulomb lattice is briefly described.
1,470 citations
TL;DR: In this paper, a laboratory observation of the dust-acoustic instability is reported, and the results are compared with available theories, based on which they compare with the available theories.
Abstract: A laboratory observation of the dust‐acoustic instability is reported. The results are compared with available theories.
1,136 citations
TL;DR: In this article, the authors summarized and analyzed the various theories proposed for the Kappa distribution and their valuable applications in coronal and space plasmas, including the resonant and non-resonant wave.
Abstract: The plasma particle velocity distributions observed in the solar wind generally show enhanced (non-Maxwellian) suprathermal tails, decreasing as a power law of the velocity and well described by the family of Kappa distribution functions. The presence of non-thermal populations at different altitudes in space plasmas suggests a universal mechanism for their creation and important consequences concerning plasma fluctuations, the resonant and nonresonant wave - particle acceleration and plasma heating. These effects are well described by the kinetic approaches where no closure requires the distributions to be nearly Maxwellian. This paper summarizes and analyzes the various theories proposed for the Kappa distributions and their valuable applications in coronal and space plasmas.
534 citations
"Nonlinear dust-acoustic wave propag..." refers background in this paper
...In the ionosphere the maximum electron density is 106 cm−3, the electron and ion temperatures vary from 1500 to 4000 K (Donley 1969) and 1000–3000 K (Willmore 1970) and the kappa index ranges between 2 and 6 (Pierrard & Lazar 2010)....
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...Different theories were proposed in the review paper of Pierrard & Lazar (2010)....
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