Fluctuations of the parameters of longitudinal waves of an electric field in a turbulent plasma stream

1983 ◽  
Vol 26 (2) ◽  
pp. 157-162
Author(s):  
V. G. Gavrilenko ◽  
V. D. Pikulin ◽  
A. A. Semerikov
Keyword(s):  
Electric Field ◽  
Turbulent Plasma ◽  
Plasma Stream ◽  
Longitudinal Waves

MEASUREMENT OF ELECTRIC FIELD IN TURBULENT PLASMA BY THE METHOD OF SATELLITES OF FORBIDDEN TRANSITIONS IN HELIUM

1979 ◽  
Vol 40 (C7) ◽  
pp. C7-867-C7-868
Author(s):  
M. P. Brizhinev ◽  
S. V. Egorov ◽  
B. G. Eremin ◽  
A. V. Kostrov ◽  
A. D. Stepanushkin
Keyword(s):  
Electric Field ◽  
Turbulent Plasma ◽  
Forbidden Transitions

Attenuation of longitudinal electro-acoustic waves in a plasma

1974 ◽  
Vol 11 (1) ◽  
pp. 37-49
Author(s):  
R. J. Papa ◽  
P. Lindstrom
Keyword(s):  
Dispersion Relation ◽  
Electric Field ◽  
Acoustic Waves ◽  
Collision Frequency ◽  
Wave Dispersion ◽  
Signal Frequency ◽  
Variable Theory ◽  
Longitudinal Waves ◽  
Confluent Hypergeometric Functions ◽  
Linearized Boltzmann Equation

There are several practical situations in partially ionized plasmas when both collisionless (Landau) damping and electron-neutral collisions contribute to the attenuation of longitudinal waves. The longitudinal-wave dispersion relation is derived from Maxwell's equations and the linearized Boltzmann equation, in which electron-neutral collisions are represented by a Bhatnagar–Gross–Krook model that conserves particles locally. (The dispersion relation predicts that, for a given signal frequency ώ), an infinite number of complex wavenumbers kn can exist. Using Fourier–Laplace transform techniques, an integral representation for the electric field of the longitudinal waves is readily derived. Then, using theorems from complex variable theory, a modal expansion of the electric field can be made in terms of an infinite sum of confluent hypergeometric functions, whose arguments are proportional to the complex wavenumbers kn. It is demonstrated numerically that the spatial integral of the square of the electric field amplitude decreases as the electron-neutral collision frequency increases. Also, the amount of energy contained in the first few (lowest) modes, and the coupling between the modes, is examined as a function of plasma frequency, signal frequency and collision frequency.

Longitudinal waves of the average field in a cold turbulent plasma

1981 ◽  
Vol 24 (10) ◽  
pp. 822-825
Author(s):  
V. G. Gavrilenko ◽  
G. V. Dzhandieri
Keyword(s):  
Turbulent Plasma ◽  
Average Field ◽  
Longitudinal Waves

Energy-Density Spectrum of the Electric Field in a Turbulent Plasma

1972 ◽  
Vol 5 (4) ◽  
pp. 1813-1819 ◽  
Author(s):  
S. H. Kim ◽  
H. E. Wilhelm
Keyword(s):  
Energy Density ◽  
Electric Field ◽  
Turbulent Plasma ◽  
Density Spectrum

scholarly journals Particle Motion in Longitudinal Waves. I Subluminal Waves

1992 ◽  
Vol 45 (1) ◽  
pp. 1 ◽  
Author(s):  
ET Rowe
Keyword(s):  
Electric Field ◽  
Longitudinal Wave ◽  
Drift Velocity ◽  
Particle Motion ◽  
Equations Of Motion ◽  
Phase Speed ◽  
Relativistic Energy ◽  
Longitudinal Waves ◽  
Arbitrary Phase ◽  
Particle Orbit

The classical equations of motion for a particle moving in a parallel longitudinal wave of arbitrary phase speed are discussed and the case of subluminal waves is considered in detail. Motion of both trapped and untrapped particles is explored with particular reference to the ability of a wave to accelerate particles to relativistic energy. The particle orbit is found in both closed and expanded forms, taking the electric field into account exactly. Expressions are also found for the 'drift velocity' of a particle, which is an important quantity because it is a constant of the particle motion that describes the motion of the centre of oscillation.

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