Exact non-symmetric closed line vacuum magnetic fields in a topological torus
Plasma Physics
2020-02-26 v2
Abstract
Non-symmetric vacuum magnetic fields with closed magnetic field lines are of interest in the construction of stellarator equilibria. Beyond the result of D.Lortz (ZAMP \textbf{21}, 196 (1970)), few results are available. This work presents a closed-form expression for a class of vacuum magnetic fields in a topological torus with closed field lines. We explicitly obtain the invariants of such a field. We finally show that a three-dimensional low beta magnetohydrodynamic (MHD) equilibrium may be constructed in a topological torus starting with these closed line vacuum magnetic fields.
Keywords
Cite
@article{arxiv.1909.01890,
title = {Exact non-symmetric closed line vacuum magnetic fields in a topological torus},
author = {Harold Weitzner and Wrick Sengupta},
journal= {arXiv preprint arXiv:1909.01890},
year = {2020}
}