Parametric instabilities of parallel-propagating Alfvén waves: Some analytical results

1993 ◽  
Vol 98 (A11) ◽  
pp. 19049-19063 ◽  
Author(s):  
V. Jayanti ◽  
Joseph V. Hollweg
Keyword(s):  
Alfven Waves ◽  
Alfvén Waves ◽  
Analytical Results ◽  
Parametric Instabilities

Parametric instabilities of Alfvén waves in a dusty plasma

2003 ◽  
Vol 10 (8) ◽  
pp. 3160-3167 ◽  
Author(s):  
M. P. Hertzberg ◽  
N. F. Cramer ◽  
S. V. Vladimirov
Keyword(s):  
Dusty Plasma ◽  
Alfven Waves ◽  
Alfvén Waves ◽  
Parametric Instabilities

Parametric instabilities of finite-amplitude, circularly polarized Alfvén waves in an anisotropic plasma

1993 ◽  
Vol 49 (1) ◽  
pp. 29-39 ◽  
Author(s):  
Hiromitsu Hamabata
Keyword(s):  
Finite Amplitude ◽  
Alfven Waves ◽  
Mhd Equations ◽  
Alfvén Waves ◽  
Linear Perturbation ◽  
Plasma Parameters ◽  
Circularly Polarized ◽  
Pressure Anisotropy ◽  
Parametric Instabilities ◽  
Fifth Order

A class of parametric instabilities of finite-amplitude, circularly polarized Alfvén waves in a plasma with pressure anisotropy is studied by application of the CGL equations. A linear perturbation analysis is used to find the dispersion relation governing the instabilities, which is a fifth-order polynomial and is solved numerically. A large-amplitude, circularly polarized wave is unstable with respect to decay into three waves: one sound-like wave and two side-band Alfvén-like waves. It is found that, in addition to the decay instability, two new instabilities that are absent in the framework of the MHD equations can occur, depending on the plasma parameters.

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