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

被引：18
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
收藏
页码：1 / 8
页数：8
相关论文
共 51 条
  • [1] Albert J. M., 2013, Dynamics of the Earth's radiation belts and inner magnetosphere, DOI DOI 10.1029/2012GM001324
  • [2] CYCLOTRON-RESONANCE IN AN INHOMOGENEOUS MAGNETIC-FIELD
    ALBERT, JM
    [J]. PHYSICS OF FLUIDS B-PLASMA PHYSICS, 1993, 5 (08): : 2744 - 2750
  • [3] [Anonymous], CAMBRIDGE ATMOSPHERI
  • [4] [Anonymous], 2006, Mathematical aspects of classical and celestial mechanics
  • [5] [Anonymous], PHYS FULLY IONIZED G
  • [6] [Anonymous], PHYS REV LETT
  • [7] [Anonymous], PHYS REV LETT
  • [8] [Anonymous], SOV PHYS JETP
  • [9] [Anonymous], ARXIV171004489
  • [10] Trapping (capture) into resonance and scattering on resonance: Summary of results for space plasma systems
    Artemyev, A. V.
    Neishtadt, A. I.
    Vainchtein, D. L.
    Vasiliev, A. A.
    Vasko, I. Y.
    Zelenyi, L. M.
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 65 : 111 - 160
123456