On quasisymmetric plasma equilibria sustained by small force. (11th February 2021)

• Record Type: Journal Article
• Authors: Constantin, Peter; Drivas, Theodore D.; Ginsberg, Daniel
• Is Part Of: Journal of plasma physics. Volume 87:Number 1(2021)
• Publication Date: 2021-02-11
• Subjects: fusion plasma; Plasma (Ionized gases) -- Periodicals; 530.4405
• DOI: 10.1017/S0022377820001610
• Languages: English
• ISSNs: 0022-3778

Abstract

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 $\xi$, 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.