论文标题
在经典恒星剂中,平衡$β$ - 限制依赖于引导电流的依赖
Equilibrium $β$-limits dependence on bootstrap current in classical stellarators
论文作者
论文摘要
尽管设计具有高磁力流动力(MHD)稳定性$β$ limit的恒星剂很重要,但要确保良好的磁性表面存在于$β$值的范围很大也很重要。随着$β$的增加,压力驱动的电流会扰动真空磁场,并经常导致磁场线混乱的出现,这可能会使限制恶化,这是另一种$β$ limit的原因,即所谓的平衡$β$ -LIMIT。在本文中,我们使用阶梯压力平衡代码(SPEC)来探讨平衡$β$限制对引导电流强度的依赖性。我们开发了一个诊断,以确定磁岛是否有望显着参与径向运输,并建立一个分析模型,以预测预期的平衡$β$ - 限制,从而恢复了数值结果的主要特征。这项研究打开了在恒星优化函数中包括其他目标的可能性,对大$β$处的磁表面的存在提供了更多的了解,并且是对平衡$β$ limit的迈出的一步。
While it is important to design stellarators with high magneto-hydrodynamic (MHD) stability $β$-limit, it is also crucial to ensure that good magnetic surfaces exist in a large range of $β$ values. As $β$ increases, pressure-driven currents perturb the vacuum magnetic field and often lead to the emergence of magnetic field line chaos, which can worsen the confinement and is the cause of another kind of $β$-limit, the so-called equilibrium $β$-limit. In this paper, we explore numerically the dependence of the equilibrium $β$-limit on the bootstrap current strength using the Stepped Pressure Equilibrium Code (SPEC). We develop a diagnostic to determine whether or not magnetic islands are expected to participate significantly to radial transport, and we build an analytical model to predict the expected equilibrium $β$-limit, which recovers the main features of the numerical results. This research opens the possibility to include additional targets in stellarator optimization functions, provides additional understanding on the existence of magnetic surfaces at large $β$, and is a step forward in the understanding of the equilibrium $β$-limit.