The evolution process of nonlinear cold-electron-plasma oscillations against fixed periodic ion density cavities

2019 ◽  
Vol 26 (2) ◽  
pp. 022112 ◽  
Author(s):  
Hui Xu ◽  
Fu-fang Su ◽  
Xiang-mu Kong ◽  
Yu Sun ◽  
Rui-ning Jin ◽  
...  
Keyword(s):  
Electron Plasma ◽  
Evolution Process ◽  
Cold Electron ◽  
Plasma Oscillations ◽  
Ion Density

Large-amplitude electron plasma oscillations

2008 ◽  
Vol 74 (4) ◽  
pp. 437-444
Author(s):  
BARBARA ABRAHAM-SHRAUNER
Keyword(s):  
Electron Density ◽  
Large Amplitude ◽  
Electron Plasma ◽  
Nonlinear Ordinary Differential Equation ◽  
Plasma Oscillations ◽  
Ion Density ◽  
One Dimensional ◽  
Lagrangian Variables ◽  
Spatially Varying ◽  
Group Symmetries

AbstractLarge-amplitude electron plasma oscillations in a one-dimensional, cold electron plasma are investigated for a spatially varying, immobile ion density. The Eulerian variables are transformed to Lagrangian variables. The problem is then treated as an effective one-dimensional particle in a potential. Two examples of spatially varying ion densities that lead to analytic functions for the electron position, velocity and electric field are found by Gauss' law to have zero electron density, an unphysical result. A generic solution that includes the two examples is shown to have a spatially homogeneous ion density. A nonlinear ordinary differential equation is the condition for the appropriate form of the electron density and is solved by Lie group symmetries. A more general form of a solution is presented that possesses a spatially varying ion density, but when the necessary conditions are specified it has either zero electron density or secular terms in the electron density.

scholarly journals Dispersion properties of electrostatic oscillations in quantum plasmas

2009 ◽  
Vol 76 (1) ◽  
pp. 7-17 ◽  
Author(s):  
BENGT ELIASSON ◽  
PADMA KANT SHUKLA
Keyword(s):  
Low Frequency ◽  
Electron Plasma ◽  
Quantum Plasma ◽  
Plasma Oscillations ◽  
Heisenberg Uncertainty Principle ◽  
Electrostatic Wave ◽  
Dense Plasmas ◽  
Astrophysical Objects ◽  
Heisenberg Uncertainty ◽  
Semiconductor Plasmas

AbstractWe present a derivation of the dispersion relation for electrostatic oscillations in a zero-temperature quantum plasma, in which degenerate electrons are governed by the Wigner equation, while non-degenerate ions follow the classical fluid equations. The Poisson equation determines the electrostatic wave potential. We consider parameters ranging from semiconductor plasmas to metallic plasmas and electron densities of compressed matter such as in laser compression schemes and dense astrophysical objects. Owing to the wave diffraction caused by overlapping electron wave function because of the Heisenberg uncertainty principle in dense plasmas, we have the possibility of Landau damping of the high-frequency electron plasma oscillations at large enough wavenumbers. The exact dispersion relations for the electron plasma oscillations are solved numerically and compared with the ones obtained by using approximate formulas for the electron susceptibility in the high- and low-frequency cases.

Electron plasma oscillations in the Venus foreshock

1990 ◽  
Vol 17 (11) ◽  
pp. 1805-1808 ◽  
Author(s):  
G. K. Crawford ◽  
R. J. Strangeway ◽  
C. T. Russell
Keyword(s):  
Electron Plasma ◽  
Plasma Oscillations

scholarly journals Electron densities in the upper ionosphere of Mars from the excitation of electron plasma oscillations

2008 ◽  
Vol 113 (A7) ◽  
pp. n/a-n/a ◽  
Author(s):  
F. Duru ◽  
D. A. Gurnett ◽  
D. D. Morgan ◽  
R. Modolo ◽  
A. F. Nagy ◽  
...  
Keyword(s):  
Electron Plasma ◽  
Electron Densities ◽  
Plasma Oscillations ◽  
Upper Ionosphere

Further analysis of nonlinear, periodic, highly superluminous waves in a magnetized plasma

1982 ◽  
Vol 27 (1) ◽  
pp. 177-187 ◽  
Author(s):  
P. C. Clemmow
Keyword(s):  
Magnetic Field ◽  
Power Series ◽  
Periodic Solutions ◽  
Wave Speed ◽  
Nonlinear Differential Equations ◽  
Plane Waves ◽  
Electron Plasma ◽  
Finite Amplitude ◽  
Magnetized Plasma ◽  
Cold Electron

A perturbation method is applied to the pair of second-order, coupled, nonlinear differential equations that describe the propagation, through a cold electron plasma, of plane waves of fixed profile, with direction of propagation and electric vector perpendicular to the ambient magnetic field. The equations are expressed in terms of polar variables π, φ, and solutions are sought as power series in the small parameter n, where c/n is the wave speed. When n = 0 periodic solutions are represented in the (π,φ) plane by circles π = constant, and when n is small it is found that there are corresponding periodic solutions represented to order n2 by ellipses. It is noted that further investigation is required to relate these finite-amplitude solutions to the conventional solutions of linear theory, and to determine their behaviour in the vicinity of certain resonances that arise in the perturbation treatment.

scholarly journals Exact analytic solutions for nonlinear waves in cold plasmas

2008 ◽  
Vol 74 (4) ◽  
pp. 569-573 ◽  
Author(s):  
G. ROWLANDS ◽  
G. BRODIN ◽  
L. STENFLO
Keyword(s):  
Wave Breaking ◽  
Electron Plasma ◽  
Analytic Solutions ◽  
Field Amplitude ◽  
Cold Electron ◽  
Electric Field Amplitude ◽  
New Class ◽  
Exact Analytic Solutions ◽  
Lagrangian Variables ◽  
Cold Plasmas

AbstractLarge amplitude plasma oscillations are studied in a cold electron plasma. Using Lagrangian variables, a new class of exact analytical solutions is found. It turns out that the electric field amplitude is limited either by wave breaking or by the condition that the electron density always has to stay positive. The range of possible amplitudes is determined analytically.

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