Abstract
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, to change the smooth structure on space so that the vector field is Killing for the new metric and construct -symmetric solutions of the magnetohydrostatic equations on that background by solving a generalized Grad-Shafranov equation. If is close to a symmetry of Euclidean space, then these are solutions on flat space up to a small forcing.
Original language | English (US) |
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Article number | 905870111 |
Journal | Journal of Plasma Physics |
DOIs | |
State | Accepted/In press - 2021 |
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
Keywords
- fusion plasma