Landau damping of Gardner solitons in a dusty bi-ion plasma

Misra, A. P.; Barman, Arnab

doi:10.1063/1.4927463

Cited by 14 publications

(7 citation statements)

References 27 publications

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“…In plasmas with two-temperature electrons, the nonlinear theory of EAWs has been investigated by many authors, however, using the fluid theory approach, i.e., without the Landau damping effects [10,11]. On the other hand, after the work of Ott and Sudan [12] on nonlinear theory of ion-acoustic waves with linear Landau damping, many authors have studied the Landau damping of low-frequency electrostatic waves [13][14][15] as well as high-frequency wave envelopes [16,17], however, no nonlinear theory of EAWs with Landau damping has been developed in the context of quantum plasmas. While the linear plasmon resonance is known in the literature, the multi-plasmon resonance [18] in the nonlinear regime has not yet been fully explored, especially in the context of KdV equation.…”

Section: Introductionmentioning

confidence: 99%

Landau damping of electron-acoustic waves due to multi-plasmon resonances

Misra,

Chatterjee,

Brodin

2021

Preprint

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The linear and nonlinear theories of electron-acoustic waves (EAWs) are studied in a partially degenerate quantum plasma with two-temperature electrons and stationary ions. The initial equilibrium of electrons is assumed to be given by the Fermi-Dirac distribution at finite temperature. By employing the multi-scale asymptotic expansion technique to the one-dimensional Wigner-Moyal and Poisson equations, it is shown that the effects of multi-plasmon resonances lead to a modified complex Korteweg-de Vries (KdV) equation with a new nonlocal nonlinearity. Besides giving rise to a nonlocal nonlinear term, the wave-particle resonance also modifies the local nonlinear coupling coefficient of the KdV equation. The latter is shown to conserve the number of particles, however, the wave energy decays with time. A careful analysis shows that the two-plasmon resonance is the dominant mechanism for nonlinear Landau damping of EAWs. An approximate soliton solution of the KdV equation is also obtained, and it is shown that the nonlinear Landau damping causes the wave amplitude to decay slowly with time compared to the classical theory.

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Section: Introductionmentioning

confidence: 99%

Landau damping of electron-acoustic waves due to multi-plasmon resonances

Misra,

Chatterjee,

Brodin

2021

Preprint

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“…For the first time, Ott and Sudan [45] investigated the effect of linear electron Landau damping on IA solitary waves in a collisionless plasma. Several authors investigated the effect of Landau damping on IA solitary waves in unmagnetized or magnetized plasmas theoretically [46][47][48][49][50][51][52] and experimentally [53].…”

Section: Introductionmentioning

confidence: 99%

Effect of Landau damping on ion acoustic solitary waves in a collisionless unmagnetized plasma consisting of nonthermal and isothermal electrons

Dalui

Bandyopadhyay

2020

Indian J Phys

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A Korteweg-de Vries (KdV) equation including the effect of Landau damping is derived to study the propagation of weakly nonlinear and weakly dispersive ion acoustic waves in a collisionless unmagnetized plasma consisting of warm adiabatic ions and two different species of electrons at different temperatures. The hotter energetic electron species follows the nonthermal velocity distribution of Cairns et al. [Geophys. Res. Lett. 22, 2709 (1995)] whereas the cooler electron species obeys the Boltzmann distribution. It is found that the coefficient of the nonlinear term of this KdV like evolution equation vanishes along different family of curves in different parameter planes. In this context, a modified KdV (MKdV) equation including the effect of Landau damping effectively describes the nonlinear behaviour of ion acoustic waves. It has also been observed that the coefficients of the nonlinear terms of the KdV and MKdV like evolution equations including the effect of Landau damping, are simultaneously equal to zero along a family of curves in the parameter plane. In this situation, we have derived a further modified KdV (FMKdV) equation including the effect of Landau damping to describe the nonlinear behaviour of ion acoustic waves. In fact, different modified KdV like evolution equations including the effect of Landau damping have been derived to describe the nonlinear behaviour of ion acoustic waves in different region of parameter space. The method of Ott & Sudan [Phys. Fluids 12, 2388Fluids 12, (1969] has been applied to obtain the solitary wave solution of the evolution equation having the nonlinear term (φ (1) ) r ∂φ (1) ∂ξ , where φ (1) is the first order perturbed electrostatic potential and r = 1, 2, 3. We have found that the amplitude of the solitary wave solution decreases with time for all r = 1, 2, 3.

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“…Accordingly, plasma systems with two temperature particles have become very important. For analysing DA and DIA solitary waves, there are many published articles in which either two temperature ions or electrons have been taken into consideration.…”

Section: Introductionmentioning

confidence: 99%

Effects of axial magnetic field and nonextensivity on small amplitude dust acoustic solitary waves in dusty plasma

Rezaiinia

Mohsenpour

Mirzanejhad

2018

Contributions to Plasma Physics

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KEYWORDSdusty plasma, nonextensivity, nonlinear propagation, solitary waves INTRODUCTIONA great deal of attention has been paid to understand the linear and nonlinear propagation of electrostatic waves that occur in both space and laboratory dusty plasmas. [1][2][3] Dusty plasmas are ordinary plasmas with an additional, extremely massive, and highly charged component of dust grains. Dusts in plasma, often of micron to submicron size, and masses in the range of 10 6 to 10 12 proton masses, are ubiquitous in the solar system and space plasma, namely, the earth's ionosphere and magnetosphere, lower and upper mesosphere, planetary magnetosphere, the interplanetary medium, planetary rings, asteroid zones, cometary tails, interstellar molecular clouds, circumstellar disks, etc., and in laboratory devices, e.g., dc and RF discharges, plasma processing reactors, and fusion plasma devices. [4][5][6][7] Hence, a study of plasma systems in the presence of dust is of considerable importance. It has been found both theoretically [8] and experimentally [9] that the dynamics of dust grains not only changes the properties of the plasma, but also introduces new or modified wave modes and related instabilities in the dusty plasma systems. [10,11] These wave modes excited in dusty plasmas can be dust-acoustic (DA) waves and dust-ion-acoustic (DIA) waves. [8,12] DA waves predicted theoretically by Rao et al. are among the low-frequency electrostatic dust waves that occur in dusty plasmas. In this case, the dust particle mass provides the inertia and thermal pressures from the electrons, and ions provide the restoring force. These waves have further been observed in laboratory experiments by a number of experimental groups. [13,14] Over the past many years, a number of authors have studied the basic properties of DA waves in dusty plasmas. [15][16][17][18][19] There are different types of coherent linear and nonlinear wave structures in a dusty plasma system, such as solitons, double layers, shocks, vortices etc. [20,21] The nonlinearities come from the harmonic generation involving fluid advection, trapping of particles This article is published with the permission of the Controller of HMSO and the Queen's Printer for Scotland.

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Landau damping of Gardner solitons in a dusty bi-ion plasma

Cited by 14 publications

References 27 publications

Landau damping of electron-acoustic waves due to multi-plasmon resonances

Landau damping of electron-acoustic waves due to multi-plasmon resonances

Effect of Landau damping on ion acoustic solitary waves in a collisionless unmagnetized plasma consisting of nonthermal and isothermal electrons

Effects of axial magnetic field and nonextensivity on small amplitude dust acoustic solitary waves in dusty plasma

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