接近轴对称的渐近准对称高贝塔三维磁流体动力学平衡态

IF 2.1 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS
Wrick Sengupta, Nikita Nikulsin, Rahul Gaur, Amitava Bhattacharjee
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引用次数: 0

摘要

Quasisymmetry (QS)是磁场强度的一种隐蔽对称性,众所周知,它支持嵌套磁通量面,并能在恒星器中提供出色的粒子约束。在这项工作中,我们研究了大宽比恒星器中高贝塔等离子体的理想磁流体力学(MHD)平衡和稳定性。我们特别指出,对近轴对称平衡的最低阶描述极大地简化了三维准对称 MHD 平衡问题,可将其简化为通量函数的标准椭圆 Grad-Shafranov 方程。我们证明,任何在垂直方向上周期性变形的大宽比托卡马克都是具有近似容积 QS 的恒星器。我们讨论了精确的分析解和数值基准。最后,我们讨论了一些平衡构型的理想气球和交换稳定性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Asymptotic quasisymmetric high-beta three-dimensional magnetohydrodynamic equilibria near axisymmetry
Quasisymmetry (QS), a hidden symmetry of the magnetic field strength, is known to support nested flux surfaces and provide superior particle confinement in stellarators. In this work, we study the ideal magnetohydrodynamic (MHD) equilibrium and stability of high-beta plasma in a large-aspect-ratio stellarator. In particular, we show that the lowest-order description of a near-axisymmetric equilibrium vastly simplifies the problem of three-dimensional quasisymmetric MHD equilibria, which can be reduced to a standard elliptic Grad–Shafranov equation for the flux function. We show that any large-aspect-ratio tokamak, deformed periodically in the vertical direction, is a stellarator with approximate volumetric QS. We discuss exact analytical solutions and numerical benchmarks. Finally, we discuss the ideal ballooning and interchange stability of some of our equilibrium configurations.
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来源期刊
Journal of Plasma Physics
Journal of Plasma Physics 物理-物理:流体与等离子体
CiteScore
3.50
自引率
16.00%
发文量
106
审稿时长
6-12 weeks
期刊介绍: JPP aspires to be the intellectual home of those who think of plasma physics as a fundamental discipline. The journal focuses on publishing research on laboratory plasmas (including magnetically confined and inertial fusion plasmas), space physics and plasma astrophysics that takes advantage of the rapid ongoing progress in instrumentation and computing to advance fundamental understanding of multiscale plasma physics. The Journal welcomes submissions of analytical, numerical, observational and experimental work: both original research and tutorial- or review-style papers, as well as proposals for its Lecture Notes series.
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