Plasma waves in hot relativistic beam-plasma systems. Part 2. Kinetic and hydrodynamic instabilities

1990 ◽  
Vol 44 (2) ◽  
pp. 213-229 ◽  
Author(s):  
Alain Magneville
Keyword(s):  
Growth Rates ◽  
Unusual Case ◽  
Plasma Waves ◽  
Hydrodynamic Instabilities ◽  
Plasma System ◽  
Beam Velocity ◽  
Relativistic Beam ◽  
Beam Plasma ◽  
Temporal And Spatial ◽  
Kinetic Instabilities

Temporal and spatial hydrodynamical instabilities and kinetic instabilities of plasma waves are considered for a relativistic beam–plasma System. The beam and plasma temperatures, and the beam velocity, may be relativistic. Instability conditions and growth rates are evaluated. An unusual case of kinetic stability inversion, for relativistic or dense beams, is discussed.

Plasma waves in hot relativistic beam-plasma systems. Part 1. Dispersion relations

1990 ◽  
Vol 44 (2) ◽  
pp. 191-211 ◽  
Author(s):  
Alain Magneville
Keyword(s):  
Wave Dispersion ◽  
Plasma Waves ◽  
Dispersion Relations ◽  
Plasma System ◽  
Relativistic Beam ◽  
Beam Plasma

Dispersion relations of plasma waves in a beam–plasma System are computed in the general case where the plasma and beam temperatures, and the; velocity of the beam, may be relativistic. The two asymptotic temperature cases, and different contributions of plasma or beam particles to wave dispersion are considered.

Multicomponent Beam-Plasma Waves

1967 ◽  
Vol 22 (12) ◽  
pp. 1935-1939
Author(s):  
Frank G. Verheest
Keyword(s):  
Magnetic Induction ◽  
Maxwell Equations ◽  
Equations Of Motion ◽  
Charged Particles ◽  
Plasma Waves ◽  
Plasma System ◽  
First Order ◽  
Multicomponent Plasma ◽  
Beam Plasma ◽  
General Dispersion

The linearization procedure is applied to the equations governing a beam-plasma system, in which the stream velocities and the wavevector are parallel to the external magnetic induction. No special constraints are imposed on the parameters characterizing the constituent fluids in the equilibrium state of this macroscopic picture. From the MAXWELL equations an expression for the electromagnetic field of the wave is obtained and substituted in the equations of motion. The components of the first-order pressure tensors are computed in the low-temperature approximation, but without recurring to the strong magnetic induction CGL hypothesis. Since the equations of motion are now expressed only in the components of the perturbations of the drift velocities, the dispersion relations follow immediately. These relations are applicable to all beam-plasma systems comprised between the now conventional multicomponent plasma and the system of beams of charged particles. Some known cold beam-plasma cases are included in the general dispersion equations.

Dressed ion acoustic soliton in an ion-beam plasma system

1988 ◽  
Vol 66 (9) ◽  
pp. 824-829 ◽  
Author(s):  
Yashvir ◽  
R. S. Tiwari ◽  
S. R. Sharma
Keyword(s):  
Ion Beam ◽  
Reductive Perturbation Method ◽  
Renormalization Procedure ◽  
Plasma System ◽  
Beam Density ◽  
Beam Velocity ◽  
Beam Plasma ◽  
Reductive Perturbation ◽  
Ion Acoustic ◽  
Ion Acoustic Soliton

Propagation of an ion-acoustic soliton in an ion-beam plasma system is studied using the renormalization procedure of Kodama and Taniuti in the reductive perturbation method and an alternative method. Expressions for the first- and second-order potentials are derived. The effects of beam velocity and beam density on the amplitude and the width of the solitons, for different ion-mass ratios, are considered. It is found that (i) the amplitude decreases with the increase of beam density, and (ii) there is a critical beam velocity, below which a stationary soliton cannot exist in an ion-beam plasma system.

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