Introduction to Field Line Helicity
Solar and Stellar Astrophysics
2023-11-16 v1 High Energy Astrophysical Phenomena
Mathematical Physics
math.MP
Plasma Physics
Abstract
Field line helicity measures the net linking of magnetic flux with a single magnetic field line. It offers a finer topological description than the usual global magnetic helicity integral, while still being invariant in an ideal evolution unless there is a flux of helicity through the domain boundary. In this chapter, we explore how to appropriately define field line helicity in different volumes in a way that preserves a meaningful topological interpretation. We also review the time evolution of field line helicity under both boundary motions and magnetic reconnection.
Cite
@article{arxiv.2311.08831,
title = {Introduction to Field Line Helicity},
author = {A. R. Yeates and M. A. Berger},
journal= {arXiv preprint arXiv:2311.08831},
year = {2023}
}
Comments
23 pages, 8 figures, to appear as chapter of AGU book "Helicities in Geophysics, Astrophysics and Beyond", published by Wiley, ISBN 1119841682