Magnetic winding: what is it and what is it good for?-Reference-Cited by-同舟云学术

Magnetic winding: what is it and what is it good for?

Published:2020-10 Issue:2242 Volume:476 Page:20200483
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Prior Christopher¹,MacTaggart David²^ORCID

Affiliation:

1. Department of Mathematical Sciences, Durham University, Durham DH1 3LE, UK

2. School of Mathematics and Statistics, University of Glasgow, Glasgow G12 8QQ, UK

Abstract

Magnetic winding is a fundamental topological quantity that underpins magnetic helicity and measures the entanglement of magnetic field lines. Like magnetic helicity, magnetic winding is also an invariant of ideal magnetohydrodynamics. In this article, we give a detailed description of what magnetic winding describes, how to calculate it and how to interpret it in relation to helicity. We show how magnetic winding provides a clear topological description of magnetic fields (open or closed) and we give examples to show how magnetic winding and helicity can behave differently, thus revealing different and important information about the underlying magnetic field.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2020.0483

Reference25 articles.

1. Magnetic helicity: what is it and what is it good for?;Finn J;Comments Plasma Phys. Controlled Fusion,1985

2. The topological properties of magnetic helicity

3. Pariat E. 2020 Using Magnetic Helicity Topology and Geometry to Investigate Complex Magnetic Fields. In Topics in Magnetohydrodynamic Topology Reconnection and Stability Theory (CISM Series) (eds D MacTaggart A Hillier) vol. 591 pp. 145–176. New York NY: Springer.

4. An Optimization Approach to Reconstructing Force‐free Fields

5. MODELING MAGNETIC FIELD STRUCTURE OF A SOLAR ACTIVE REGION CORONA USING NONLINEAR FORCE-FREE FIELDS IN SPHERICAL GEOMETRY

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