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.
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- fusion plasma