On quasisymmetric plasma equilibria sustained by small force
On quasisymmetric plasma equilibria sustained by small force
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DOI：
10.1017/s0022377820001610
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发表时间：
2021-02-11
影响因子：
2.5
通讯作者：
Ginsberg, Daniel
中科院分区：
文献类型：
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作者：
Constantin, Peter;Drivas, Theodore D.;Ginsberg, Daniel
我们构建了光滑、非对称的等离子体平衡，该平衡具有封闭的、嵌套的通量表面，并用很小的力求解磁流体静力学（稳定三维不可压缩欧拉）方程。这些解也是“接近”拟对称的。主要思想是，给定所需的准对称方向 xi ，改变空间上的平滑结构，使矢量场 xi 满足新度量的要求，并通过求解广义 Grad-Shafranov 方程，在该背景下构造磁流体静力方程的 xi 对称解。如果 xi 接近欧几里得空间的对称性，那么这些是平坦空间上的解，直到一个小的强迫。
We construct smooth, non-symmetric plasma equilibria which possess closed, nested flux surfaces and solve the magnetohydrostatic (steady three-dimensional incompressible Euler) equations with a small force. The solutions are also 'nearly' quasisymmetric. The primary idea is, given a desired quasisymmetry direction xi, to change the smooth structure on space so that the vector field xi is Killing for the new metric and construct xi-symmetric solutions of the magnetohydrostatic equations on that background by solving a generalized Grad-Shafranov equation. If xi is close to a symmetry of Euclidean space, then these are solutions on flat space up to a small forcing.