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High-m kink/tearing modes in cylindrical geometry

机译:圆柱几何图形中的高扭结/撕裂模式

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摘要

The global ideal kink equation, for cylindrical geometry and zero beta, is simplified in the high poloidal mode number limit and used to determine the tearing stability parameter,Delta'. In the presence of a steep monotonic current gradient,Delta' becomes a function of a parameter, sigma(0), characterising the ratio of the maximum current gradient to magnetic shear and x(s), characterising the separation of the resonant surface from the maximum of the current gradient. In equilibria containing a current 'spike', so that there is a non-monotonic current profile,Delta' also depends on two parameters: kappa, related to the ratio of the curvature of the current density at its maximum to the magnetic shear and x(s), which now represents the separation of the resonance from the point of maximum current density. The relation of our results to earlier studies of tearing modes and to recent gyrokinetic calculations of current driven instabilities, is discussed, together with potential implications for the stability of the tokamak pedestal.
机译:对于圆柱几何形状和零贝塔值,全局理想的扭结方程在高倍数模数极限中得到简化,并用于确定撕裂稳定性参数Delta'。在存在陡峭的单调电流梯度的情况下,Delta'是参数sigma(0)的函数,该参数表征最大电流梯度与磁剪切强度之比和x(s),表征谐振表面与振动表面的分离当前梯度的最大值。在包含电流“尖峰”的平衡中,因此存在一个非单调的电流分布,“ Delta”还取决于两个参数:kappa,与最大电流密度的曲率与磁剪切强度之比和x有关(s),现在代表从最大电流密度的角度分离出谐振。讨论了我们的结果与撕裂模式的早期研究以及电流驱动的不稳定性的最新运动学计算之间的关系,以及对托卡马克基座稳定性的潜在影响。

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