Three-Wave Coupling Coefficients for Magnetized Plasmas

1977 ◽  
pp. 152-158 ◽  
Author(s):  
L. Stenflo ◽  
J. Larsson
Keyword(s):  
Magnetized Plasmas ◽  
Coupling Coefficients ◽  
Wave Coupling

scholarly journals Three-wave interaction and Manley–Rowe relations in quantum hydrodynamics

2014 ◽  
Vol 80 (4) ◽  
pp. 643-652 ◽  
Author(s):  
Erik Wallin ◽  
Jens Zamanian ◽  
Gert Brodin
Keyword(s):  
Wave Interaction ◽  
Magnetized Plasmas ◽  
Coupling Coefficients ◽  
Quantum Hydrodynamics ◽  
Dispersive Term

The theory for nonlinear three-wave interaction in magnetized plasmas is reconsidered using quantum hydrodynamics. The general coupling coefficients are calculated for the generalized Bohm de Broglie term. It is found that the Manley–Rowe relations are fulfilled only if the form of the particle dispersive term coincides with the standard expression. The implications of our results are discussed.

Kinetic theory for MHD-wave coupling coefficients

1992 ◽  
Vol 47 (3) ◽  
pp. 361-371 ◽  
Author(s):  
Ralf Elvsén
Keyword(s):  
Kinetic Theory ◽  
Wave Interaction ◽  
Alfven Waves ◽  
Alfvén Waves ◽  
Coupling Coefficients ◽  
Wave Coupling ◽  
Fluid Theory

The coupling coefficients for resonant three-wave interaction of magnetosonic and Alfvén waves, derived by means of kinetic theory, are presented. The calculations allow for anisotropic background temperatures. The results are compared with previous ones from fluid theory.

Three-wave coupling coefficients for magnetized plasmas with pressure anisotropy

1989 ◽  
Vol 41 (1) ◽  
pp. 199-208 ◽  
Author(s):  
G. Brodin ◽  
L. Stenflo
Keyword(s):  
Energy Exchange ◽  
Low Frequency ◽  
Mhd Equations ◽  
Alfven Wave ◽  
Magnetized Plasmas ◽  
System Of Equations ◽  
Coupling Coefficients ◽  
Pressure Anisotropy ◽  
Nonlinear Energy ◽  
Low Frequency Waves

In order to find the equations for the nonlinear energy exchange between low-frequency waves in magnetized plasmas in the presence of pressure anisotropy, we start from the Chew–Goldberger–Low equations, the isothermal MHD equations, as well as a new hybrid system of equations. The coupling coefficients describing the interaction between two Alfvén waves and one magnetosonic wave as well as the interaction between two magnetosonic waves and one Alfvén wave are deduced.

Three-wave coupling coefficients for non-uniform plasmas

1981 ◽  
Vol 26 (3) ◽  
pp. 407-418 ◽  
Author(s):  
T. Lindgren ◽  
J. Larsson ◽  
L. Stenflo
Keyword(s):  
Wave Propagation ◽  
Wave Interaction ◽  
Density Gradients ◽  
Coupling Coefficients ◽  
Wave Coupling ◽  
Coupling Processes

Resonant three-wave interaction in a spatially non-uniform magnetized fluid plasma is considered. We calculate the coupling coefficientsVjfor wave propagation in arbitrary directions and demonstrate that new terms, which appear inVjowing to the presence of density gradients, can dominate actual wave coupling processes.

scholarly journals Alfven wave interactions within the Hall-MHD description

2013 ◽  
Vol 79 (5) ◽  
pp. 909-911 ◽  
Author(s):  
G. BRODIN ◽  
L. STENFLO
Keyword(s):  
Alfven Wave ◽  
Coupling Coefficients ◽  
Wave Interactions ◽  
Wave Coupling ◽  
Mhd Model ◽  
Model Equations ◽  
Hall Mhd

AbstractWe show that comparatively simple expressions for the Alfven wave coupling coefficients can be deduced from the well-known Hall-magnetohydrodynamics (MHD) model equations.

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