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.

Electron acoustic surface waves in a two‐electron component plasma

1993 ◽  
Vol 5 (12) ◽  
pp. 4502-4504 ◽  
Author(s):  
R. Bharuthram ◽  
S. S. Misthry ◽  
M. Y. Yu
Keyword(s):  
Surface Waves ◽  
Electron Component ◽  
Component Plasma ◽  
Acoustic Surface Waves ◽  
Electron Acoustic

Electron-acoustic waves in the laboratory: an experiment revisited

2000 ◽  
Vol 64 (4) ◽  
pp. 433-443 ◽  
Author(s):  
M. A. HELLBERG ◽  
R. L. MACE ◽  
R. J. ARMSTRONG ◽  
G. KARLSTAD
Keyword(s):  
Distribution Function ◽  
Acoustic Wave ◽  
Acoustic Waves ◽  
High Frequency ◽  
Hot Electron ◽  
Electron Component ◽  
Temperature Plasma ◽  
Electrostatic Waves ◽  
Electron Acoustic Wave ◽  
Electron Acoustic

High-frequency electrostatic waves have been observed in a two-electron-temperature plasma. Both bi-Maxwellian and Maxwellian-waterbag models were found to be inadequate in explaining the observed dispersion and damping rates. However, modelling of the hot electron component with a κ-distribution function confirms that the experiments represent observation of the electron-acoustic wave in the laboratory.

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.

Arbitrary-amplitude electron acoustic solitary waves in a plasma

1995 ◽  
Vol 53 (1) ◽  
pp. 25-29 ◽  
Author(s):  
Prasanta Chatterjee ◽  
Rajkumar Roychoudhury
Keyword(s):  
Solitary Waves ◽  
Numerical Technique ◽  
Soliton Solutions ◽  
Analytical Form ◽  
Complete Agreement ◽  
Ion Temperature ◽  
Sagdeev Potential ◽  
Arbitrary Amplitude ◽  
Pseudopotential Approach ◽  
Electron Acoustic

Recently Mace et at. studied electron-acoustic solitary waves in a plasma using a pseudopotential approach. To find the finite ion-temperature Sagdeev potential, they used a numerical technique developed by Baboolal, Bharuthram & Hellberg. In this paper we show that the exact pseudopotential can be obtained in this case in an analytical form. The numerical results obtained by Mace et at. are compared with our result, and complete agreement is found. We also discuss the conditions for the existence of solitary-wave solutions, and obtain the soliton solutions in some cases when these conditions are satisfied.

Electron-acoustic solitons in a weakly relativistic plasma

1992 ◽  
Vol 47 (1) ◽  
pp. 61-74 ◽  
Author(s):  
R. L. Mace ◽  
M. A. Hellberg ◽  
R. Bharuthram ◽  
S. Baboolal
Keyword(s):  
Acoustic Waves ◽  
Kdv Equation ◽  
Nonlinear Coefficient ◽  
Soliton Solutions ◽  
Positive Contribution ◽  
Poisson Equations ◽  
Electron Acoustic Waves ◽  
Relativistic Beam ◽  
Component Plasma ◽  
Electron Acoustic

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.

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.

Arbitrary amplitude fast electron-acoustic solitons in three-electron component space plasmas

2016 ◽  
Vol 23 (6) ◽  
pp. 062302 ◽  
Author(s):  
L. N. Mbuli ◽  
S. K. Maharaj ◽  
R. Bharuthram ◽  
S. V. Singh ◽  
G. S. Lakhina
Keyword(s):  
Fast Electron ◽  
Space Plasmas ◽  
Electron Component ◽  
Arbitrary Amplitude ◽  
Electron Acoustic
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