Effect of squeeze on electrostatic Trivelpiece-Gould wave damping

Effect of squeeze on electrostatic Trivelpiece-Gould wave damping
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挤压对静电 Trivelpiece-Gould 波阻尼的影响

DOI:
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发表时间:
2014
期刊:
影响因子:
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通讯作者:
D. Dubin
D. Dubin
中科院分区:
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文献类型:
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作者:
A. Ashourvan;D. Dubin

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我们给出了一个非中性等离子体柱上由于施加德拜屏蔽柱对称压缩势φ-1而增加了三块-Gouid等离子体模的阻尼值的理论。我们给出了两个模型:一维模型只与轴相关,而二维模型在压缩平衡和模中也保持径向依赖。我们用解析方法和数值方法来研究这些模型。在我们的分析研究中,我们假设φ1/T≪1,并且我们将德拜屏蔽的压缩势视为平衡哈密顿量中的微扰。我们的数值模拟求解了一维Vlasov-Poisson系统,得到了自洽等离子体模的频率和阻尼率,没有对压缩的大小做任何假设。在一维和二维模型中,当粒子反弹频率ωb(En)和波频率ω满足ω=nωb(En)时,模的衰减是由能量En处的朗道共振引起的。粒子会经历一种非正弦的。
We present a theory for increased damping of Trivelpiece-Gouid plasma modes on a nonneutral plasma column, due to application of a Debye shielded cylindrically symmetric squeeze potential φ1. We present two models of the effect this has on the plasma modes: a 1D model with only axial dependence, and a 2D model that also keeps radial dependence in the squeezed equilibrium and the mode. We study the models using both analytical and numerical methods. For our analytical studies, we assume that φ1/T≪1, and we treat the Debye shielded squeeze potential as a perturbation in the equilibrium Hamiltonian. Our numerical simulations solve the 1D Vlasov-Poisson system and obtain the frequency and damping rate for a self-consistent plasma mode, making no assumptions as to the size of the squeeze. In both the 1D and 2D models, damping of the mode is caused by Landau resonances at energies En for which the particle bounce frequency ωb(En) and the wave frequency ω satisfy ω=nωb(En). Particles experience a non-sinusoidal ...