The dynamics of an ion acting on two monochromatic obliquely propagating Alfven waves

The interaction between a magnetized ion and two monochromatic shear Alfvtn waves propagating obliquely to an ambient magnetic field is investigated both analytically and numerically. According to the Hamiltonian of this system, the invariant of motion at the lowest order and the half-island widths...

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Published inPlasma science & technology Vol. 19; no. 7; pp. 12 - 25
Main Author 虞立敏 盛正卯 张先梅 薛二兵
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.07.2017
Subjects
Alfvén waves
Hamiltonian
Lie transformation
Poincaré section
stochastic heating
单色
数值研究
斜传播
波动力学
离子
规则运动
随机共振
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Summary:The interaction between a magnetized ion and two monochromatic shear Alfvtn waves propagating obliquely to an ambient magnetic field is investigated both analytically and numerically. According to the Hamiltonian of this system, the invariant of motion at the lowest order and the half-island widths at the corresponding resonances are obtained analytically using the Lie transformation method. It is shown that these theoretical results agree with the numerical ones from the Poincare surface of section. The regular motions from the invariant and the transition to stochasticity due to resonance overlapping are demonstrated. Compared to the case of a single wave, there may be a lower stochastic threshold in the multiple-wave problem.
Bibliography:Limin YU1, Zhengmao SHENG 2, Xianmei ZHANG1, Erbing XUE 1（1 Department of Physics, East China University of Science and Technology, Shanghai 200237, People＇s Republic of China 2 Department of Physics and Institute for Fusion Theory and Simulation, Zhejiang University, Haugzhou 310027, People＇s Republic of China）
Alfven waves, Lie transformation, Poincare section, stochastic heating
34-1187/TL
The interaction between a magnetized ion and two monochromatic shear Alfvtn waves propagating obliquely to an ambient magnetic field is investigated both analytically and numerically. According to the Hamiltonian of this system, the invariant of motion at the lowest order and the half-island widths at the corresponding resonances are obtained analytically using the Lie transformation method. It is shown that these theoretical results agree with the numerical ones from the Poincare surface of section. The regular motions from the invariant and the transition to stochasticity due to resonance overlapping are demonstrated. Compared to the case of a single wave, there may be a lower stochastic threshold in the multiple-wave problem.
PST-2016-0352.R2
Institute of Plasma Physics
ISSN:1009-0630
1009-0630
DOI:10.1088/2058-6272/aa6617