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arXiv 1203.2302physics.plasm-phastro-ph.EPphysics.space-ph
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弱碰撞等离子体中相对论性非线性波-粒子相互作用的动力学系统方法

Dynamical Systems' approach to relativistic nonlinear wave-particle interaction in weakly collisional plasmas

A. Osmane, A. M. Hamza

摘要:

在这篇报告中,我们提出了一个动力系统的方法来研究相对论性区域中精确的非线性波-粒子相互作用。我们给一个特别注意的影响波的平行($θ=0$)和垂直($θ=-π/2$)传播的具体情况下,通过研究的轨道上的动力学相比,一般情况下的斜传播$θ=]-π/2, 0[$。我们发现,系统的不动点对应于朗道共振,动力学可以从捕获到表面加速的传播角服从Hopf分叉条件。回旋共振粒子也研究了洛伦兹因子$γ$的赝势结构的建设。我们导出了Arnold扩散导致相对论性随机加速的条件。因此,得出两个一般性结论:1)传播角$θ$可以显着改变轨道的动力学朗道和回旋共振。2)考虑到粒子被加速的时间尺度很短,朗道和回旋共振轨道的这两种机制可能成为弱碰撞空间和宇宙等离子体中粒子碰撞问题的潜在候选者。

英文摘要:

In this report, we present a dynamical systems' approach to study the exact nonlinear wave-particle interaction in relativistic regime. We give a particular attention to the effect of wave obliquity on the dynamics of the orbits by studying the specific cases of parallel ($θ=0$) and perpendicular ($θ=-π/2$) propagations in comparison to the general case of oblique propagation $θ=]-π/2, 0[$. We found that the fixed points of the system correspond to Landau resonance, and that the dynamics can evolve from trapping to surfatron acceleration for propagation angles obeying a Hopf bifurcations condition. Cyclotron-resonant particles are also studied by the construction of a pseudo-potential structure in the Lorentz factor $γ$. We derived a condition for which Arnold diffusion results in relativistic stochastic acceleration. Hence, two general conclusions are drawn : 1) The propagation angle $θ$ can significantly alter the dynamics of the orbits at both Landau and cyclotron-resonances. 2) Considering the short-time scales upon which the particles are accelerated, these two mechanisms for Landau and cyclotron resonant orbits could become potential candidates for problems of particle energization in weakly collisional space and cosmic plasmas.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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