Modulated electrostatic modes in pair plasmas: Modulational stability profile and envelope excitations

Kourakis, Ioannis; Esfandyari-Kalejahi, A.; Mehdipoor, M.; Shukła, P. K.

doi:10.1063/1.2203951

Cited by 105 publications

(55 citation statements)

References 31 publications

(28 reference statements)

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“…[15]. Similarly positrons can be generated in modern laser plasma experiments when ultra-intense laser pulse interacts with matter [16,17].In case of space and laboratory plasmas, all time particles do not follow Maxwellian distribution (which is a velocity distribution describing the plasma particles in a thermal equilibrium [18][19][20]). Although, a large number of authors considered that plasma components are in thermal equilibrium but due to the some external disturbances (e.g.…”

mentioning

confidence: 99%

Heavy ion-acoustic rogue waves in electron-positron multi-ion plasmas

Chowdhury

Mannan

Hasan

et al. 2017

Chaos: An Interdisciplinary Journal of Nonlinear Science

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The nonlinear propagation of heavy-ion-acoustic (HIA) waves (HIAWs) in a four component multi-ion plasma (containing inertial heavy negative ions and light positive ions, as well as inertialess nonextensive electrons and positrons) has been theoretically investigated. The nonlinear Schrödinger (NLS) equation is derived by employing the reductive perturbation method. It is found that the NLS equation leads to the modulational instability (MI) of HIAWs, and to the formation of HIA rogue waves (HIARWs), which are due to the effects of nonlinearity and dispersion in the propagation of HIAWs. The conditions for MI of HIAWs, and the basic properties of the generated HIARWs are identified. It is observed that the striking features (viz. instability criteria, growth rate of MI, amplitude and width of HIARWs, etc.) of the HIAWs are significantly modified by effects of nonextensivity of electrons and positrons, ratio of light positive ion mass to heavy negative ion mass, ratio of electron number density to light positive ion number density, and ratio of electron temperature to positron temperature, etc. The relevancy of our present investigation to the observations in the space (viz. cometary comae and earth's ionosphere) and laboratory (laser plasma interaction experimental devices) plasmas is pointed out. I. LEAD PARAGRAPHA new electron-positron, multi-ion plasma model has been considered to identify new features (instability criteria, growth rate of MI, amplitude and width, etc.) of heavy ion-acoustic rogue waves. This rogue waves are associated with nonlinear propagation of HIAWs in which the inertia (restoring force) is mainly provided by the heavy negative ions (nonextensive electron and positron temperatures) and are appeared as the solutions of NLS equation (derived here by the reductive perturbation method) in unstable parametric regime. The new striking features of these HIARWs are identified and are found to be applicable in the space and laboratories plasmas. II. INTRODUCTIONOver the last few decades, wave dynamics in electronpositron-ion (e-p-i) plasmas is one of the major research area for the plasma physicists because of painstaking experimental observational evidence in both space (viz. [15]. Similarly positrons can be generated in modern laser plasma experiments when ultra-intense laser pulse interacts with matter [16,17].In case of space and laboratory plasmas, all time particles do not follow Maxwellian distribution (which is a velocity distribution describing the plasma particles in a thermal equilibrium [18][19][20]). Although, a large number of authors considered that plasma components are in thermal equilibrium but due to the some external disturbances (e.g. wave-particle interactions, external force fields present in natural space plasma environments, and turbulence, etc.) their assumption is no longer valid. In space and astrophysical environments, the Maxwellian distribution is no longer exist when the plasma particles move very fast compared to their thermal velocities. Non-extensive generaliza...

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confidence: 99%

Heavy ion-acoustic rogue waves in electron-positron multi-ion plasmas

Chowdhury

Mannan

Hasan

et al. 2017

Chaos: An Interdisciplinary Journal of Nonlinear Science

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“…Some features of the experimentally observed modes still remain unexplained. These experimental works have been followed by numerous studies, [5][6][7][8][9][10][11][12][13][14] dealing with various aspects of linear and nonlinear waves and instabilities in pair-ion plasmas. In addition to this, the recent successful production of a pairhydrogen plasma, 4 which is even more attractive because of the small ion mass and the obvious consequences related to this, indicates that the number of experiments and analytical studies in this particular field will grow even further.…”

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confidence: 99%

“…So far, studies dealing with waves and instabilities [5][6][7][8][9][10][11][12][13][14] have been carried out mainly in the framework of a local mode analysis and in Cartesian geometry. However, the experimental conditions mentioned above 1-4 are such that, in some domains of frequencies and wavelengths, the proper cylindric geometry is to be used and the effects of the plasma boundary on the modes are to be taken into account.…”

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confidence: 99%

Global convective cell formation in pair-ion plasmas

Vranjes

Poedts

2008

Physics of Plasmas

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The global electrostatic mode in pair-ion plasmas is discussed for cylindric geometry and for a radially inhomogeneous equilibrium density. In the case of a Gaussian radial density profile, exact analytical eigensolutions are found in terms of the Kummer confluent hypergeometric functions. The mode is identified as a convective cell propagating in the poloidal and axial direction, having at the same time a standing wave structure in the radial direction. © 2008 American Institute of Physics. ͓DOI: 10.1063/1.2907160͔A new research field and a new area of increasing scientific activity have emerged recently after a series of experiments [1][2][3][4] in which a pure pair-ion plasma has been produced; i.e., a plasma without electrons. The two ions, i.e., C 60 Ϯ , are produced in a simultaneous process of impact ionization and electron attachment, and further collected by a magnetic filtering effect; i.e., by a diffusion in the radial direction ͑perpendicular to the magnetic field lines͒. Being separated from electrons, the ions are then collected in a narrow and elongated chamber ͑90 cm long and with a diameter of 8 cm͒. In Refs. 2-4, several types of modes have been reported in such plasmas; viz., the ion plasma wave, the ion acoustic wave ͑IAW͒, and the so-called intermediate frequency wave. The detailed measurements presented in the most recent Refs. 3 and 4, reveal that the IAW actually has two separate branches, and is accompanied by some additional backward propagating mode between these two branches. Some features of the experimentally observed modes still remain unexplained. These experimental works have been followed by numerous studies, 5-14 dealing with various aspects of linear and nonlinear waves and instabilities in pair-ion plasmas. In addition to this, the recent successful production of a pairhydrogen plasma, 4 which is even more attractive because of the small ion mass and the obvious consequences related to this, indicates that the number of experiments and analytical studies in this particular field will grow even further. The topic is interesting also in view of the fact that a similar pair plasma, comprising much lighter particles ͑electrons and positrons͒ in the past years has also been created under laboratory conditions. 15 The knowledge of processes in such plasmas will help us to understand the physics of some pairplasmas in space, comprising electrons and positrons, as in the atmospheres of pulsars and in active galactic nuclei, and even in flares in the lower solar atmosphere.So far, studies dealing with waves and instabilities 5-14 have been carried out mainly in the framework of a local mode analysis and in Cartesian geometry. However, the experimental conditions mentioned above 1-4 are such that, in some domains of frequencies and wavelengths, the proper cylindric geometry is to be used and the effects of the plasma boundary on the modes are to be taken into account. Therefore, in the present work we shall focus on frequencies below the ion gyrofrequency, on the effect of radial densi...

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“…This has resulted in numerous theoretical studies [6][7][8][9][10][11][12][13][14][15][16] dealing with various aspects of linear and nonlinear waves and instabilities in pair plasmas. The IF wave has been particularly in focus in a number of works, because the behavior of this mode does not fit into the standard plasma theory.…”

Section: Introductionmentioning

confidence: 99%

Electrostatic modes in multi-ion and pair-ion collisional plasmas

et al. 2008

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The physics of plasmas containing positive and negative ions is discussed with special attention to the recently produced pair-ion plasma containing ions of equal mass and opposite charge. The effects of the density gradient in the direction perpendicular to the ambient magnetic field vector are discussed. The possible presence of electrons is discussed in the context of plasma modes propagating at an angle with respect to the magnetic field vector. It is shown that the electron plasma mode may become a backward mode in the presence of a density gradient, and this behavior may be controlled either by the electron number density or the mode number in the perpendicular direction. In plasmas with hot electrons an instability may develop, driven by the combination of electron collisions and the density gradient, and in the regime of a sound ions' response. In the case of a pure pair-ion plasma, for lower frequencies and for parameters close to those used in the recent experiments, the perturbed ions may feel the effects of the magnetic field. In this case the plasma mode also becomes backward, resembling features of an experimentally observed but yet unexplained backward mode.

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Modulated electrostatic modes in pair plasmas: Modulational stability profile and envelope excitations

Cited by 105 publications

References 31 publications

Heavy ion-acoustic rogue waves in electron-positron multi-ion plasmas

Heavy ion-acoustic rogue waves in electron-positron multi-ion plasmas

Global convective cell formation in pair-ion plasmas

Electrostatic modes in multi-ion and pair-ion collisional plasmas

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