Plasma equilibrium equations in coordinates connected with magnetic surfaces. Exact equilibrium solutions

TL;DR

This paper introduces a method to represent static MHD equilibrium equations in specialized coordinates, enabling the construction of exact 3D plasma equilibrium solutions in various geometries without relying on symmetries.

Contribution

It proposes a new coordinate-based approach to derive exact 3D plasma equilibrium solutions, expanding the possibilities for modeling complex plasma configurations.

Findings

Generated families of non-trivial 3D plasma equilibrium solutions

Applicable to both isotropic and anisotropic plasmas

Solutions include static and dynamic equilibria in diverse geometries

Abstract

A representation of the static MHD equilibrium system in coordinates connected with magnetic surfaces is suggested. It is used for producing families of non-trivial 3D exact solutions of isotropic and anisotropic plasma equilibria in different geometries, with and without dynamics, and often without geometrical symmetries. The ways of finding coordinates in which exact equilibria can be constructed are discussed; examples and their applications as physical models are presented.