Kinetic equation for nonlinear wave-particle interaction: solution properties and asymptotic dynamics

Abstract

We consider a kinetic equation describing evolution of a particle distribution function in a system with nonlinear wave-particle interactions (trappings into a resonance and nonlinear scatterings). We study properties of its solutions and show that the only stationary solution is a constant, and that all solutions with smooth initial conditions tend to constant as time grows. The resulting flattening of the distribution function in the domain of nonlinear interactions is similar to one described by the quasi-linear plasma theory, but the distribution evolves much faster. The results are confirmed numerically for a model problem.

21 pages, 4 figures

References in corpus (3)

• Large parallel and perpendicular electric fields on electron spatial scales in the terrestrial bow shock
• Tailoring steep density profile with unstable points
• Kinetic equation for systems with resonant captures and scatterings

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• Particle momentum variation under interaction with wavepackets of finite spatial width
• On a transitional regime of electron resonant interaction with whistler-mode waves in inhomogeneous space plasma