Nonlinear effects associated with the dispersive Alfvén waves in space plasmas

2010 ◽  
Vol 17 (3) ◽  
pp. 032901 ◽  
Author(s):  
Sanjay Kumar ◽  
R. P. Sharma
Keyword(s):  
Nonlinear Effects ◽  
Alfven Waves ◽  
Space Plasmas ◽  
Alfvén Waves

scholarly journals Intermittent chaos driven by nonlinear Alfvén waves

2004 ◽  
Vol 11 (5/6) ◽  
pp. 691-700 ◽  
Author(s):  
E. L. Rempel ◽  
A. C.-L. Chian ◽  
A. J. Preto ◽  
S. Stephany
Keyword(s):  
Dynamical Systems ◽  
Periodic Orbits ◽  
Systems Approach ◽  
Alfven Waves ◽  
Space Plasmas ◽  
Alfvén Waves ◽  
Unstable Periodic Orbits ◽  
Phase Dynamics ◽  
Intermittent Chaos

Abstract. We investigate the relevance of chaotic saddles and unstable periodic orbits at the onset of intermittent chaos in the phase dynamics of nonlinear Alfvén waves by using the Kuramoto-Sivashinsky (KS) equation as a model for phase dynamics. We focus on the role of nonattracting chaotic solutions of the KS equation, known as chaotic saddles, in the transition from weak chaos to strong chaos via an interior crisis and show how two of these unstable chaotic saddles can interact to produce the plasma intermittency observed in the strongly chaotic regimes. The dynamical systems approach discussed in this work can lead to a better understanding of the mechanisms responsible for the phenomena of intermittency in space plasmas.

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.

Nonlinear coupling between Alfvén and fast magnetosonic waves

2003 ◽  
Vol 69 (3) ◽  
pp. 183-185 ◽  
Author(s):  
G. BRODIN ◽  
L. STENFLO ◽  
P. K. SHUKLA
Keyword(s):  
Wave Propagation ◽  
Alfven Waves ◽  
Alfven Wave ◽  
Space Plasmas ◽  
Alfvén Waves ◽  
Nonlinear Coupling ◽  
Energy Transformation ◽  
Magnetohydrodynamic Waves ◽  
Non Linear

Energy transformation between fast magnetosonic waves and Alfvén waves is considered. It is shown that the efficiency of this process can be significantly enhanced if the Alfvén wave propagation directions are appropriately chosen. The relevance of our investigation to the non-linear excitation of magnetohydrodynamic waves in space plasmas is discussed.

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