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

页码：1 / 8

页数：8

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 [J].

ALBERT, JM .

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 [J].

Artemyev, A. V. ;

Neishtadt, A. I. ;

Vainchtein, D. L. ;

Vasiliev, A. A. ;

Vasko, I. Y. ;

Zelenyi, L. M. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 65 :111-160

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