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arXiv 2301.01464physics.plasm-ph
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DIII-D 上的低频剪切阿尔芬波:实验观测的理论解释

Low-frequency shear Alfvén waves at DIII-D: theoretical interpretation of experimental observations

Ruirui Ma, W. W. Heidbrink, Liu Chen, Fulvio Zonca, Zhiyong Qiu

AI总结:

本文基于一般鱼骨模色散关系(GFLDR)理论框架,对 DIII-D 反磁剪切放电中的低频剪切阿尔芬波进行理论解释,揭示低频模为反应型低频阿尔芬模(LFAMs)、BAEs 为耗散型不稳定模,并成功重现其频谱特征。

摘要:

基于一般鱼骨模色散关系(GFLDR)的理论框架,对与 beta 诱导阿尔芬本征模(BAEs)以及 DIII-D 反磁剪切放电中观测到的低频模(W. Heidbrink 等 2021 Nucl. Fusion 61 066031)相关的低频剪切阿尔芬波的线性性质进行了理论研究与刻画。采用具有代表性的实验平衡剖面,发现低频模和 BAEs 分别是具有主导阿尔芬极化的反应型和耗散型不稳定模,因此前者更准确地应称为低频阿尔芬模(LFAMs)。更具体地说,由于不稳定机制不同,与 LFAMs 相比,当安全因子最小值($q_{min}$)偏离有理数时,BAEs 的驱动最强。同时,BAE 本征函数在能动粒子压强梯度最大的径向位置达到峰值,导致其显著偏离 $q_{min}$ 面。此外,实验观测到的 BAEs 和 LFAMs 的上升频谱模式可以通过改变 $q_{min}$ 在理论上重现,并且可以基于 GFLDR 得到很好的解释。本分析展示了 GFLDR 的可靠预测能力及其在增强实验和数值模拟结果解释能力方面的实际用途。

英文摘要:

The linear properties of the low-frequency shear Alfvén waves such as those associated with the beta-induced Alfvén eigenmodes (BAEs) and the low-frequency modes observed in reversed-magnetic-shear DIII-D discharges (W. Heidbrink, et al 2021 Nucl. Fusion 61 066031) are theoretically investigated and delineated based on the theoretical framework of the general fishbone-like dispersion relation (GFLDR). By adopting representative experimental equilibrium profiles, it is found that the low-frequency modes and BAEs are, respectively, the reactive-type and dissipative-type unstable modes with dominant Alfvénic polarization, thus the former being more precisely called low-frequency Alfvén modes (LFAMs). More specifically, due to different instability mechanisms, the maximal drive of BAEs occurs, in comparison to LFAMs, when the minimum of the safety factor ($q_{min}$) deviates from a rational number. Meanwhile, the BAE eigenfunction peaks at the radial position of the maximum energetic particle pressure gradient, resulting in a large deviation from the $q_{min}$ surface. Moreover, the ascending frequency spectrum patterns of the experimentally observed BAEs and LFAMs can be theoretically reproduced by varying $q_{min}$ and also be well interpreted based on the GFLDR. The present analysis illustrates the solid predictive capability of the GFLDR and its practical usefulness in enhancing the interpretative capability of both experimental and numerical simulation results.

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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