On the effect of Landau damping in a relativistic electron acoustic plasma

Chowdhury, Abhishek Dutta; Pakira, G.; Paul, S. N.

doi:10.1016/0378-4363(88)90308-7

Cited by 12 publications

(9 citation statements)

References 13 publications

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“…[29,30,31,32] During the last few decades, the relativistic effect arising due to streaming electrons on the EA waves has been investigated in several papers. [33][34][35][36][37][38][39][40][41] Electrons can accelerate up to relativistic energies in the MeV range, due to the decrease of electron collision frequency with increasing velocity. Runaway electrons can be observed in a great many contexts, including solar flares, [42] the ionosphere of earth, [43] lightning discharges, [44] and in laboratory plasma including laser plasma, [45] and inertial [46] and magnetic-confinement [47] fusion plasmas.…”

Section: Introductionmentioning

confidence: 99%

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Electrostatic solitary waves associated with relativistic nonextensive electrons in magnetized fusion plasma

Motevalli

Dashtban

2020

Contributions to Plasma Physics

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Properties of nonlinear electrostatic solitary waves in a magnetized multicomponent system of plasma containing of warm fluid ions, weakly relativistic warm fluid electrons and q-nonextensive distributed electrons using reductive perturbation method, have been surveyed. For this purpose, a KdV soliton type solution has been employed. The dependence of solitary wave structure, solitary wave maximum amplitude, and phase velocity of soliton on the plasma parameters is defined numerically.

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Section: Introductionmentioning

confidence: 99%

“…During the last few decades, the relativistic effect arising due to streaming electrons on the EA waves has been investigated in several papers. [ 33–41 ]…”

Section: Introductionmentioning

confidence: 99%

Electrostatic solitary waves associated with relativistic nonextensive electrons in magnetized fusion plasma

Motevalli

Dashtban

2020

Contributions to Plasma Physics

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“…The whole story started with the pioneering paper of Washimi and Taniuti [3] who showed how the KdV equation can play a dominant role in the study of ion-acoustic waves. Later, techniques other than the reductive perturbation were used to study more complicated scenarios of plasma physics [4]. But the stress was always on the search for soliton formation that is a stable con¢guration in a plasma.…”

Section: Introductionmentioning

confidence: 99%

On The Properties of a Chaotic Attractor Observed in an Inhomogenous Magnetised Plasma

2001

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The equations governing the non-linear dynamics of low frequency, long wave-length electromagnetic ¢elds in a non-uniform magnetised plasma are discussed. This pair of non-linear partial differential equations turns out to be non-integrable. A Galerkin basis type expansion is then used to deduce six coupled non-linear ordinary differential equations. These equations are then analysed from the viewpoint of stability and chaos. The system is treated numerically using the techniques of Power spectrum. Lyapunov exponent and phase space analysis. The various regions of the attractor are quanti¢ed using the concept of local divergence rate and the corresponding time averages. The predictability property of the various sections is also analysed by studying the probability density functions of such time averages. Furthermore, the phase spatial variation of the predictability is studied using the Poincare¨section for different sections of incoming and outgoing orbits separately. The local divergence rate of these different sections are also computed to detail the behaviour of the attractor.The chaotic scenario of the attractor is controlled using (a) adaptive control method (b) application of a short pulse (c) application of a nonlinear pulse on the

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“…There have been a number of studies of ion-acoustic solitons in relativistic plasmas (Das & Paul 1985;Roychoudhury & Bhattacharyya 1987;Nejoh 1987a, b\ Das, Karmakar & Paul 1988Chowdhury, Pakira & Paul 1989;Yadav & Sharma 1989;Salahuddin 1990;Singh & Dahiya 1990); however, the electron-acoustic wave has only had passing attention in this respect (Chowdhury, Pakira & Paul 1988).…”

Section: Introductionmentioning

confidence: 99%

Electron-acoustic solitons in a weakly relativistic plasma

Mace¹,

Hellberg²,

Bharuthram

et al. 1992

J. Plasma Phys.

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Weakly relativistic electron-acoustic solitons are investigated in a two-electron-component plasma whose cool electrons form a relativistic beam. A general Korteweg-de Vries (KdV) equation is derived, in the small-|ø| domain, for a plasma consisting of an arbitrary number of relativistically streaming fluid components and a hot Boltzmann component. This equation is then applied to the specific case of electron-acoustic waves. In addition, the fully nonlinear system of fluid and Poisson equations is integrated to yield electron-acoustic solitons of arbitrary amplitude. It is shown that relativistic beam effects on electron-acoustic solitons significantly increase the soliton amplitude beyond its non-relativistic value. For intermediate- to large-amplitude solitons, a finite cool-electron temperature is found to destroy the balance between nonlinearity and dispersion, yielding soliton break-up. Also, only rarefactive electronacoustic soliton solutions of our equations are found, even though the relativistic beam provides a positive contribution to the nonlinear coefficient of the KdV equation, describing relativistic, nonlinear electron-acoustic waves.

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On the effect of Landau damping in a relativistic electron acoustic plasma

Cited by 12 publications

References 13 publications

Electrostatic solitary waves associated with relativistic nonextensive electrons in magnetized fusion plasma

Electrostatic solitary waves associated with relativistic nonextensive electrons in magnetized fusion plasma

On The Properties of a Chaotic Attractor Observed in an Inhomogenous Magnetised Plasma

Electron-acoustic solitons in a weakly relativistic plasma

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