On Influence of Oblique Density Fluctuations on the Linear Growth of the Parametric Decay Instability of Circularly Polarized Alfvén Waves

2020 ◽  
Vol 89 (4) ◽  
pp. 045002
Author(s):  
Yasuhiro Nariyuki
Keyword(s):  
Linear Growth ◽  
Alfven Waves ◽  
Density Fluctuations ◽  
Alfvén Waves ◽  
Circularly Polarized ◽  
Decay Instability ◽  
Parametric Decay ◽  
Parametric Decay Instability

Three-wave coupling and parametric decay of kinetic Alfvén waves

1998 ◽  
Vol 60 (3) ◽  
pp. 497-514 ◽  
Author(s):  
Yu. M. VOITENKO
Keyword(s):  
Wave Interaction ◽  
Nonlinear Effects ◽  
Resonant Interaction ◽  
Alfven Waves ◽  
Larmor Radius ◽  
Alfvén Waves ◽  
Decay Instability ◽  
Parametric Decay ◽  
Maxwellian Plasma ◽  
Kinetic Alfvén Waves

The dynamic equation and coupling coefficient of the three-wave interaction among kinetic Alfvén waves (KAWs) are derived by use of plasma kinetic theory. Linear and nonlinear effects of finite ion Larmor radius are kept for arbitrary value of the ‘kinetic variable’ κ=k⊥ρi. The parametric decay KAW→KAW+KAWis investigated and the threshold amplitude for decay instability in a Maxwellian plasma is calculated. The growth rate of decay instability varies as k2⊥ in both limits κ2[Lt ]1 and κ2[Gt ]1. The main tendency of KAWs is towards nonlinear destabilization at very low wave amplitudes Bk/B0[lsim ]10−3. Two applications concerning KAW dynamics in the magnetosphere and in the solar corona show that three-wave resonant interaction among KAWs may be responsible for the turbulent character of their behaviour, often observed in space plasmas.

Mode-Coupling Analysis of Parametric Decay Instability in Magnetized Plasmas

2014 ◽  
Vol 16 (9) ◽  
pp. 809-814
Author(s):  
Yuan Yuan ◽  
Zhonghe Jiang ◽  
Weixin Guo ◽  
Xinfeng Sun ◽  
Xiwei Hu
Keyword(s):  
Mode Coupling ◽  
Magnetized Plasmas ◽  
Coupling Analysis ◽  
Decay Instability ◽  
Parametric Decay ◽  
Parametric Decay Instability

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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