论文标题

在电阻惯性和抗抗性状态下,准线性流动响应对谐振磁扰动的分析模型

Analytical model for quasi-linear flow response to resonant magnetic perturbation in resistive-inertial and viscous-resistive regimes

论文作者

Huang, Wenlong, Zhu, Ping, Chen, Hui

论文摘要

在这项工作中,在电阻惯性(RI)(RI)和抗性抗性(VR)方案中,对托卡马克中谐振磁扰动(RMP)的等离子流动响应的准线性模型纯粹是从两场降低的MHD模型中纯粹的。血浆响应对RMP的模型通常由谐振磁场响应的方程组成(即磁岛)和血浆流的扭矩平衡。但是,在先前的等离子响应模型中,磁岛和扭矩平衡方程通常分别与减少的MHD和完整MHD方程分别得出。相比之下,在这项工作中,我们完全从一组两场降低的MHD方程中得出了磁岛响应和扭矩平衡方程,用于等离子体流动响应。这种准线性模型可以在某些限制和近似值内恢复先前的等离子体流动响应模型。此外,还可以准确地计算出流动响应方程中的准线性力和力矩的物理起源,并自言自语。

In this work, a quasi-linear model for plasma flow response to the resonant magnetic perturbation (RMP) in a tokamak has been rigorously developed in the resistive-inertial (RI) and viscous-resistive (VR) regimes purely from the two-field reduced MHD model. Models for plasma response to RMP are commonly composed of equations for the resonant magnetic field response (i.e. the magnetic island) and the torque balance of plasma flow. However, in previous plasma response models, the magnetic island and the torque balance equations are often derived separately from reduced MHD and full MHD equations, respectively. By contrast, in this work we derive both the magnetic island response and the torque balance equations in a quasi-linear model for plasma flow response entirely from a set of two-field reduced MHD equations. Such a quasi-linear model can recover previous plasma flow response models within certain limits and approximations. Furthermore, the physical origins of quasi-linear forces and moments in the flow response equation are also accurately calculated and clarified self-consistently.

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