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Study of stability and rotation of a chain of saturated, freely-rotating magnetic islands in tokamaks

机译：托卡马克饱和，自由旋转磁岛链稳定性和旋转研究

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摘要

The non-linear dynamics of a chain of stationary, saturated magnetic islands is studied by solving a four-field system of equations that include non-ideal effects, lowest order finite Larmor radius corrections and neoclassical terms. The magnetic island rotation velocity is calculated self-consistently with the fields profiles. The solutions for the island rotation velocity and for the ion polarization current are determined as a function of the characteristic parameters of the system and the results are discussed. The results of the calculations show that island rotation velocity and the ion polarization current depend in a non-trivial way on the parameters characterizing the system, and some clear patterns emerge only in particular cases. An analysis of magnetic island rotation velocity is performed on experiments in COMPASS tokamak. Measured island rotation velocity is compared with the calculated ion and electron flow velocities, for different hypotheses on the toroidal rotation of the plasma. The comparison shows that the island rotation velocity is consistent with the ion flow velocity, under the hypothesis of slow toroidal rotation and low collisionality. Theoretical calculation of the island rotation velocity according to the model here developed suggests that the islands rotate weakly in the ion direction, in the hypothesis of slow toroidal rotation and high collisionality. The impossibility of directly measuring the plasma rotation velocity makes it difficult to distinguish between these different regimes.
机译：通过求解包含非理想效应、最低阶有限拉莫尔半径修正和新古典项的四场方程组，研究了一系列静止饱和磁岛的非线性动力学。磁岛旋转速度是根据磁场剖面自洽计算的。确定了孤岛旋转速度和离子极化电流的解，作为系统特征参数的函数，并对结果进行了讨论。计算结果表明，孤岛旋转速度和离子极化电流在很大程度上取决于表征系统的参数，并且只有在特定情况下才会出现一些清晰的模式。在COMPASS托卡马克装置上进行了实验，分析了磁岛的旋转速度。对于等离子体环向旋转的不同假设，测量的孤岛旋转速度与计算的离子和电子流动速度进行了比较。比较表明，在慢环向旋转和低碰撞假设下，孤岛旋转速度与离子流速度一致。根据本文建立的模型对孤岛旋转速度进行的理论计算表明，在慢环向旋转和高碰撞的假设下，孤岛在离子方向上的旋转较弱。由于无法直接测量等离子体的旋转速度，因此很难区分这些不同的区域。

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