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

被引：20
作者：
Artemyev, Anton [1 ,2 ,3 ]
Neishtadt, Anatoly [1 ,4 ]
Vasiliev, Alexei [1 ]
机构：
[1] Space Res Inst, Profsoyuznaya 84-32, Moscow 117997, Russia
[2] Univ Calif Los Angeles, Dept Earth Planetary & Space Sci, Los Angeles, CA USA
[3] Univ Calif Los Angeles, Inst Geophys & Planetary Phys, Los Angeles, CA 90024 USA
[4] Loughborough Univ, Dept Math Sci, Loughborough LE11 3TU, Leics, England
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2019年 / 393卷
关键词：
Wave-particle nonlinear interaction; Kinetic equation; Resonances; Distribution function; WHISTLER-MODE WAVES; RESONANT INTERACTIONS; CHORUS EMISSIONS; MAGNETOSPHERE; ELECTRONS; ACCELERATION; TRANSPORT;
D O I：
10.1016/j.physd.2018.12.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a kinetic equation describing evolution of the particle distribution function in a system with nonlinear wave-particle interactions (trappings into 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 a 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. (C) 2019 Elsevier B.V. All rights reserved.
引用
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页码：1 / 8
页数：8
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