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首页> 外文期刊>The European physical journal, D. Atomic, molecular, and optical physics >Positron-acoustic traveling waves solutions and quasi-periodic route to chaos in magnetoplasmas featuring Cairns nonthermal distribution
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Positron-acoustic traveling waves solutions and quasi-periodic route to chaos in magnetoplasmas featuring Cairns nonthermal distribution

机译：正电子声波行驶波解决方案和准周期性在磁化磁石中混沌的途径，具有岩盘非热分布

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摘要

Dynamics of the positron acoustic waves (PAWs) in magnetoplasmas following Cairns non-thermal distribution is studied on the frameworks of the Korteweg-de Vries (KdV) and modified Korteweg-de Vries (mKdV) equations. The reductive perturbation technique is used to derive the KdV and mKdV equations. Bifurcations of positron acoustic traveling waves of these equations are addressed by employing the bifurcation theory of planar dynamical systems. It is found that the KdV equation supports compressive positron acoustic solitary waves (PASWs), while the mKdV equation supports both compressive and rarefactive PASWs. Using numerical simulations, effect of the nonthermal parameter (beta), temperature ratio of hot electron to hot positron (sigma), magnetic field (omega c1), ratio of hot electron to cold positron concentration (mu e), and ratio of hot to cold positron concentration (mu p) are discussed on the PASWs solutions of the KdV and mKdV equations. The criterion of chaos for these perturbed equations under the external periodic perturbation are obtained through quasi-periodic route to chaos. It is in fact shown that transition to chaos in our system depends on the frequency omega and the strength of the external periodic perturbation f0. These parameters control the dynamic behavior of the PAWs. The relevance of this work may be useful to understand the qualitative changes in the dynamics of perturbed PAWs appearing in auroral acceleration region as well as the astrophysical and laboratory plasma, where static external magnetic field and nonthermal parameter are present.
机译：在Korteweg-de Vries（KdV）和修正的Korteweg-de Vries（mKdV）方程的框架下，研究了Cairns非热分布下磁等离子体中正电子声波（PAWs）的动力学。利用约化摄动技术推导了KdV和mKdV方程。利用平面动力系统的分岔理论，讨论了这些方程的正电子声行波分岔问题。发现KdV方程支持压缩正电子声孤波，而mKdV方程支持压缩和稀疏正电子声孤波。通过数值模拟，讨论了非热参数（β）、热电子与热正电子温度比（sigma）、磁场（ωc1）、热电子与冷正电子浓度比（mu e）和热正电子与冷正电子浓度比（mu p）对KdV和mKdV方程PASWs解的影响。通过准周期到混沌的路径，得到了这些扰动方程在外部周期扰动下的混沌判据。事实上，我们的系统向混沌的转变取决于频率ω和外部周期扰动f0的强度。这些参数控制爪子的动态行为。这项工作的相关性可能有助于理解极光加速区以及存在静态外磁场和非热参数的天体物理和实验室等离子体中出现的扰动爪动力学的定性变化。

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