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Discrete Alfven eigenmodes excited by energetic particles in high-beta toroidal plasmas

机译:高β环形等离子体中高能粒子激发的离散Alfven本征模式

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Resonant excitations of Alfven eigenmodes by energetic particles in high-beta (ratio of plasma to magnetic pressures) second ballooning-mode stable toroidal plasmas are investigated employing a gyrokinetic-magnetohydrodynamic (MHD) hybrid simulation code. The new type of high-n (toroidal wavenumber) discrete Alfven eigenmodes correspond to bound states trapped in the alpha-induced potential wells and, hence, are termed alpha TAE (alpha-induced Alfven eigenmode); where a denotes the ballooning drive due to pressure gradient and curvature (Hu S and Chen L 2004 Phys. Plasmas 111). These MHD-stable eigenmodes can be kinetically excited, in the present studies, by magnetically trapped energetic particles via bounce-precessional drift resonances. A dense alpha TAE spectrum has been found due to the existence of multiple potential wells and, correspondingly, the eigenmodes can either be quasi-marginally stable or experience small but finite Alfven-continuum damping. Furthermore, these alpha TAEs exist independently of the toroidal Alfven frequency gap, in contrast to the usual low-beta TAE (toroidicity-induced Alfven eigenmode) (Cheng C Z, Chen L and Chance M S 1985 Ann. Phys. 16121). For negative magnetic shear, the aTAE is also shown to extend into the small-alpha domain and evolve into the low-beta TAE. A two-dimensional eigenmode analysis, employing WKB approximation in the radial direction, demonstrates that global alpha TAEs can be radially localized around the maximal a values.
机译:高能磁流体动力学(MHD)混合仿真代码研究了高β(等离子体与磁压之比)第二膨胀模式稳定环形等离子体中高能粒子对Alfven本征模式的共振激发。新型的高n(环形波数)离散Alfven本征模式对应于困在alpha诱导的势阱中的束缚态,因此被称为alpha TAE(alpha诱导的Alfven本征模式);其中,a表示由于压力梯度和曲率引起的膨胀驱动(Hu S和Chen L 2004物理等离子111)。在当前的研究中,这些MHD稳定的本征模可以通过反弹进动的漂移共振被磁俘获的高能粒子动力学激发。由于存在多个潜在的井,已经发现了密集的αTAE谱,相应地,本征模可以是准边际稳定的,也可以经历较小但有限的Alfven-Continuum阻尼。此外,与通常的低βTAE(环性诱导的Alfven本征模)相反,这些αTAE与环形Alfven频率间隙无关地存在(Cheng C Z,Chen L和Chance M S 1985 Ann。Phys。16121)。对于负磁剪切,还显示aTAE延伸到小α结构域并演变成低βTAE。在径向上采用WKB近似的二维本征模分析表明,可以将全局alpha TAE径向定位在最大a值附近。

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