scholarly journals Kinetic equation for nonlinear wave-particle interaction: Solution properties and asymptotic dynamics

2019 ◽  
Vol 393 ◽  
pp. 1-8 ◽  
Author(s):  
Anton Artemyev ◽  
Anatoly Neishtadt ◽  
Alexei Vasiliev
Keyword(s):  
Kinetic Equation ◽  
Nonlinear Wave ◽  
Particle Interaction ◽  
Solution Properties ◽  
Wave Particle Interaction ◽  
Interaction Solution ◽  
Asymptotic Dynamics

Nonlinear wave-particle interaction behaviors driven by energetic ions in the HL-2A Tokamak

2018 ◽  
Vol 58 (9) ◽  
pp. 096028 ◽  
Author(s):  
Y.M. Hou ◽  
W. Chen ◽  
Y. Yu ◽  
M. Lesur ◽  
X.R. Duan ◽  
...  
Keyword(s):  
Nonlinear Wave ◽  
Particle Interaction ◽  
Energetic Ions ◽  
Wave Particle Interaction ◽  
Interaction Behaviors

Relaxation oscillations in weak turbulence. The case of nonlinear wave-particle interaction

1974 ◽  
Vol 11 (1) ◽  
pp. 141-158 ◽  
Author(s):  
C. Montes
Keyword(s):  
Nonlinear Wave ◽  
Transition Probability ◽  
Particle Interaction ◽  
Dissipative System ◽  
Linear Instability ◽  
Weak Turbulence ◽  
Periodic Regime ◽  
Kinetic Regime ◽  
Relaxation Oscillations ◽  
Wave Particle Interaction

A model for nonlinear Landau stabilization of a linear instability is treated analytically. The model may apply to any dissipative system described by: (i) a linear dissipation function γ(k), of one degree of freedom k, which presents a limited unstable domain δK and a damped region for lower values of k, and (ii) a transition probability for the nonlinear Landau damping (nonlinear wave–particle interaction) proportional to k – K'. For a sharply pointed γ(k), the model leads to a kinetic regime presenting periodic relaxation oscillations of large and constant amplitude. Starting from weak turbulence, the system organizes itself into a periodic regime, which may be of interest in connexion with research in morphogenesis. For a smoothed γ(k), the relaxation oscillations damp, slowing down towards a turbulent energy level.

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