Effect of electron beam on the properties of electron-acoustic rogue waves

2014 ◽  
Vol 81 (2) ◽  
Author(s):  
E. K. El-Shewy ◽  
S. A. Elwakil ◽  
A. M. El-Hanbaly ◽  
A. I. Kassem
Keyword(s):  
Electron Beam ◽  
Rogue Waves ◽  
Auroral Zone ◽  
Wave Number ◽  
Hot Electron ◽  
Cold Electron ◽  
Carrier Wave ◽  
Basic Set ◽  
Component Plasma ◽  
Electron Acoustic

The properties of nonlinear electron-acoustic rogue waves have been investigated in an unmagnetized collisionless four-component plasma system consisting of a cold electron fluid, Maxwellian hot electrons, an electron beam and stationary ions. It is found that the basic set of fluid equations is reduced to a nonlinear Schrodinger equation. The dependence of rogue wave profiles and the associated electric field on the carrier wave number, normalized density of hot electron and electron beam, relative cold electron temperature and relative beam temperature are discussed. The results of the present investigation may be applicable in auroral zone plasma.

Electron-acoustic instability driven by a field-aligned hot electron beam

1991 ◽  
Vol 46 (1) ◽  
pp. 1-10 ◽  
Author(s):  
R. Bharuthram
Keyword(s):  
Magnetic Field ◽  
Growth Rate ◽  
Electron Beam ◽  
Hot Electron ◽  
Plasma Parameters ◽  
Acoustic Instability ◽  
Electrons And Ions ◽  
Component Plasma ◽  
Instability Growth ◽  
Electron Acoustic

Using kinetic theory, the electron-acoustic instability is investigated in a three-component plasma consisting of a hot electron beam and stationary cool electrons and ions. In the model considered here both the electrons and ions are magnetized, with the beam drift along the external magnetic field. The dependence of the growth rate on plasma parameters, such as electron-beam density, electron-beam speed, magnetic field strength and propagation angle, is studied. In addition, the effects of anisotropies in the velocity distributions of the hot electron beam and the cool electrons on the instability growth rate are examined.

scholarly journals Electron acoustic solitons in the Earth's magnetotail

2004 ◽  
Vol 11 (2) ◽  
pp. 215-218 ◽  
Author(s):  
S. G. Tagare ◽  
S. V. Singh ◽  
R. V. Reddy ◽  
G. S. Lakhina
Keyword(s):  
Electron Beam ◽  
Small Amplitude ◽  
Low Frequency ◽  
Frequency Component ◽  
Magnetized Plasma ◽  
Cold Electron ◽  
Ion Plasma ◽  
Electron Acoustic ◽  
Two Temperature ◽  
Perpendicular Polarization

Abstract. Small amplitude electron - acoustic solitons are studied in a magnetized plasma consisting of two types of electrons, namely cold electron beam and background plasma electrons and two temperature ion plasma. The analysis predicts rarefactive solitons. The model may provide a possible explanation for the perpendicular polarization of the low-frequency component of the broadband electrostatic noise observed in the Earth's magnetotail.

Excitation of lower hybrid waves by electron beams in finite geometry plasmas. Part 1. Body waves

1978 ◽  
Vol 19 (2) ◽  
pp. 281-294 ◽  
Author(s):  
Magdi M. Shoucri ◽  
Réal R. J. Gagné
Keyword(s):  
Electron Beam ◽  
Electron Beams ◽  
Finite Geometry ◽  
Body Waves ◽  
Lower Hybrid ◽  
Hot Electron ◽  
Cold Electron ◽  
Small Density ◽  
Hybrid Waves ◽  
Lower Hybrid Waves

The quasi-static lower hybrid eigenmodes of a plasma column in a cylindrical waveguide are determined, and their linear excitation by a small density electron beam is discussed for the cases of a hot electron beam as well as for a cold electron beam. It is shown that under certain conditions, finite geometry effects introduce important quantitative and qualitative differences with respect to the results obtained in an infinite geometry.

Arbitrary-amplitude electron-acoustic solitons in a two-electron-component plasma

1991 ◽  
Vol 45 (3) ◽  
pp. 323-338 ◽  
Author(s):  
R. L. Mace ◽  
S. Baboolal ◽  
R. Bharuthram ◽  
M. A. Hellberg
Keyword(s):  
Perturbation Technique ◽  
Soliton Solutions ◽  
Hot Electron ◽  
Electron Component ◽  
Initial Value ◽  
Wave Measurements ◽  
Component Plasma ◽  
Arbitrary Amplitude ◽  
Electron Acoustic ◽  
Nonlinear Fluid

Motivated by plasma and wave measurements in the cusp auroral region, we have investigated electron-acoustic solitons in a plasma consisting of fluid ions, a cool fluid electron and a hot Boltzmann electron component. A recently described method of integrating the full nonlinear fluid equations as an initial-value problem is used to construct electron-acoustic solitons of arbitrary amplitude. Using the reductive perturbation technique, a Korteweg-de Vries equation, which includes the effects of finite cool-electron and ion temperatures, is derived, and results are compared with the full theory. Both theories admit rarefactive soliton solutions only. The solitons are found to propagate at speeds greater than the electron sound speed (ε0c/ε0ε)½υε, and their profiles are independent of ion parameters. It is found that the KdV theory is not a good approximation for intermediate-strength solitons. Nor does it exhibit the fact that the cool- to hot-electron temperature ratio restricts the parameter range over which electron-acoustic solitons may exist, as found in the arbitrary-amplitude calculations.

Nonlinear electron-acoustic rogue waves in electron-beam plasma system with non-thermal hot electrons

2014 ◽  
Vol 54 (9) ◽  
pp. 1786-1792 ◽  
Author(s):  
S.A. Elwakil ◽  
A.M. El-hanbaly ◽  
A. Elgarayh ◽  
E.K. El-Shewy ◽  
A.I. Kassem
Keyword(s):  
Electron Beam ◽  
Rogue Waves ◽  
Hot Electrons ◽  
Plasma System ◽  
Beam Plasma ◽  
Electron Acoustic ◽  
Electron Beam Plasma

scholarly journals Dust-Acoustic Rogue Waves in an Electron-Positron-Ion-Dust Plasma Medium

Galaxies ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 31
Author(s):  
Md. Habibur Rahman ◽  
Nure Alam Chowdhury ◽  
Abdul Mannan ◽  
A. A. Mamun
Keyword(s):  
Numerical Analysis ◽  
Modulational Instability ◽  
Rogue Waves ◽  
Wave Number ◽  
Plasma Medium ◽  
Critical Wave Number ◽  
Electron Positron ◽  
Dust Acoustic ◽  
Component Plasma ◽  
Dust Plasma

In this work, the modulational instability of dust-acoustic (DA) waves (DAWs) is theoretically studied in a four-component plasma medium with electrons, positrons, ions, and negative dust grains. The nonlinear and dispersive coefficients of the nonlinear Schrödinger equation (NLSE) are used to recognize the stable and unstable parametric regimes of the DAWs. It can be seen from the numerical analysis that the amplitude of the DA rogue waves decreases with increasing populations of positrons and ions. It is also observed that the direction of the variation of the critical wave number is independent (dependent) of the sign (magnitude) of q. The applications of the outcomes from the present investigation are briefly addressed.

Electrostatic rogue waves in a plasma with a relativistic electron beam

2013 ◽  
Vol 79 (5) ◽  
pp. 847-851 ◽  
Author(s):  
F. BENCHRIET ◽  
S. A. EL-TANTAWY ◽  
W. M. MOSLEM ◽  
M. DJEBLI
Keyword(s):  
Electron Beam ◽  
Relativistic Electron ◽  
Relativistic Electron Beam ◽  
Vries Equation ◽  
Rogue Waves ◽  
Reductive Perturbation Method ◽  
Wave Number ◽  
Unstable Wave ◽  
Physical Parameters ◽  
De Vries

AbstractThe properties of nonlinear electrostatic acoustic rogue waves in a three-component plasma composed of electron, positron, and relativistic electron beam are investigated. The reductive perturbation method is used to obtain a Korteweg–de Vries equation. The dynamics of the modulationally unstable wave packets described by the Korteweg–de Vries equation gives rise to the formation of rogue pulses that is described by a nonlinear Schrödinger equation for small wave number. The effects of physical parameters on the profile of rogue waves are investigated numerically. The electrostatic rogue waves, as predicted here, may be associated with the nonlinear structures caused by the interaction of relativistic jets with plasma medium, such as in the active galactic nuclei and in the magnetosphere of collapsing stars.

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