On quasisymmetric plasma equilibria sustained by small force

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.

Automated summary

Smooth, non-symmetric plasma equilibria with closed, nested flux surfaces were constructed and solutions to the magnetohydrostatic equations were found by changing the smooth structure in space to make a desired quasisymmetry direction Killing for the new metric. These solutions are 'nearly' quasisymmetric on flat space up to a small forcing when the quasisymmetry direction is close to a symmetry of Euclidean space.