Nonlinear interaction of electrostatic waves in a magnetized Vlasov plasma

1988 ◽  
Vol 40 (3) ◽  
pp. 385-397 ◽  
Author(s):  
Jonas Larsson
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Kinetic Theory ◽  
Dielectric Function ◽  
Response Function ◽  
Nonlinear Interaction ◽  
Electrostatic Waves ◽  
Advantages And Disadvantages ◽  
Poisson Equations ◽  
Vlasov Plasma

A new expression for the second-order dielectric function є(2) (K1,ω1, K2,ω2) is derived from the Vlasov–Poisson equations. The formula is also suitable for the calculation of this quantity in general situations when it is essential to use kinetic theory and when the wave vectors K1 and K2 have arbitrary directions with respect to each other as well as to the external magnetic field. We also consider two earlier formulae for this response function and discuss advantages and disadvantages of the different expressions.

Filamentation and collapse of Langmuir waves in a weak magnetic field

1982 ◽  
Vol 28 (1) ◽  
pp. 19-36 ◽  
Author(s):  
P. Rolland ◽  
S. G. Tagare
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Small Angle ◽  
Nonlinear Interaction ◽  
High Frequency ◽  
Weak Magnetic Field ◽  
Low Frequency ◽  
Langmuir Waves ◽  
The Magnetic Field

The filamentation and collapse of Langmuir waves in a weak magnetic field are analysed in two particular cases of low-frequency acoustic perturbations: (i) adiabatic perturbations which correspond to subsonic collapse, and (ii) nonadiabatic perturbations which correspond to supersonic collapse. Here the existence of Langmuir filaments and Langmuir collapse in a weak magnetic field are due to nonlinear interaction of high-frequency Langmuir waves (which make small angle with the external magnetic field) with low-frequency acoustic perturbations along the magnetic field.

Generalized dispersive Alfvén waves

2000 ◽  
Vol 64 (2) ◽  
pp. 125-130 ◽  
Author(s):  
P. K. SHUKLA ◽  
L. STENFLO
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Magnetic Field Line ◽  
Auroral Zone ◽  
Alfven Waves ◽  
Skin Depth ◽  
Dispersion Relations ◽  
Alfvén Waves ◽  
Electrostatic Waves ◽  
Kinetic Alfvén Waves

Generalized dispersion relations for Alfvén waves are derived, accounting for arbitrary values of ω/ωci, k⊥ρi, and k⊥λe, where ω(ωci) is the wave (ion gyro) frequency, k⊥ = 2π/λ⊥ the perpendicular (to the external magnetic field line) wavenumber, and ρi(λe) the ion gyroradius (electron skin depth). Our dispersion relations are appropriate for deducing the relationships of the dispersive (inertial and kinetic) Alfvén waves with other plasma modes. The present results can be considered as a prerequisite for understanding some salient features of the broadband electromagnetic/electrostatic waves that are frequently observed by the Freja and FAST spacecraft in the auroral zone of the Earth's ionosphere.

Wave–wave interactions in rotating gases

1979 ◽  
Vol 21 (2) ◽  
pp. 333-339 ◽  
Author(s):  
L. Stenflo
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Nonlinear Interaction ◽  
Coupling Coefficients ◽  
Density Waves ◽  
Wave Interactions ◽  
Axis Of Rotation

The resonant nonlinear interaction between three waves in a non-uniform rotating plasma is considered. The coupling coefficients are calculated for the case where the axis of rotation is parallel to an external magnetic field. Owing to similarities between this plasma and a gas of gravitating particles, it is likely that these coefficients can also be useful in the theory of galactic density waves.

Electrostatic waves potential at the plasma and upper-hybrid resonances

1981 ◽  
Vol 25 (2) ◽  
pp. 239-254 ◽  
Author(s):  
J. Thiel ◽  
R. Debrie
Keyword(s):  
Magnetic Field ◽  
Kinetic Theory ◽  
Dispersion Equation ◽  
Cyclotron Frequency ◽  
Plasma Frequency ◽  
Electrostatic Waves ◽  
Ion Motion ◽  
Hybrid Resonance ◽  
Resonance Frequencies ◽  
The Magnetic Field

The potential created by an infinitesimal alternating dipole in a Maxwellian magnetoplasma is computed numerically at the plasma and upper-hybrid resonance frequencies when the latter extends from one to three times the electron cyclotron frequency. A linear full kinetic theory is used for a homogeneous magnetoplasma for which the forced ion motion and the collisions are neglected. The integral which gives the potential is evaluated by using the least-damping- roots (LDR) approximation, i.e. by neglecting the higher-order roots of the dispersion equation for electrostatic waves. Some characteristic potential patterns of dipoles parallel and perpendicular to the magnetic field are computed and comparisons with analytical results previously published are made. The numerical and analytical patterns are similar only at the plasma frequency when the dipole is parallel to the magnetic field.

Nonlinear interaction of waves in an active molecular plasma

1974 ◽  
Vol 12 (1) ◽  
pp. 81-90 ◽  
Author(s):  
M. Bonnedal ◽  
H. Wilhelmsson
Keyword(s):  
Magnetic Field ◽  
Kinetic Theory ◽  
Nonlinear Interaction ◽  
Plasma Medium ◽  
Laboratory Plasma ◽  
Longitudinal Waves ◽  
Interaction Of Waves ◽  
The Subject ◽  
Laser Experiments ◽  
Molecular Plasma

The purpose of the paper is to investigate, by means of kinetic theory, the wave—wave couplings that may occur in a magnetized and partially ionized plasma medium containing neutrals (or ions) with inverted population levels. We study the interaction of three monochromatic waves which propagate parallel to the direction of a magnetic field in the medium. Transverse as well as longitudinal waves are considered. The present paper, which represents a generalization of previous contributions to the subject, offers several new interesting processes of interaction, which may be basic to the description of phenomena occurring in astrophysics. Furthermore, it is of interest in connexion with laboratory plasma and laser experiments.

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