Magnetic helicity in multiply connected domains

MacTaggart, D. and Valli, A. (2019) Magnetic helicity in multiply connected domains. Journal of Plasma Physics, 85(5), 775850501. (doi: 10.1017/S0022377819000576)

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Magnetic helicity is a fundamental quantity of magnetohydrodynamics that carries topological information about the magnetic field. By ‘topological information’, we usually refer to the linkage of magnetic field lines. For domains that are not simply connected, however, helicity also depends on the topology of the domain. In this paper we expand the standard definition of magnetic helicity in simply connected domains to multiply connected domains in of arbitrary topology. We also discuss how using the classic Biot–Savart operator simplifies the expression for helicity and how domain topology affects the physical interpretation of helicity.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Mactaggart, Dr David
Authors: MacTaggart, D., and Valli, A.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Plasma Physics
Publisher:Cambridge University Press
ISSN (Online):1469-7807
Published Online:09 September 2019
Copyright Holders:Copyright © 2019 Cambridge University Press
First Published:First published in Journal of Plasma Physics 85(5): 775850501
Publisher Policy:Reproduced in accordance with the publisher copyright policy
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