A Generalized Flux Function for Three-dimensional Magnetic Reconnection

Yeates, AR; Hornig, G

Abstract

The definition and measurement of magnetic reconnection in three-dimensional magnetic fields with multiple reconnection sites is a challenging problem, particularly in fields lacking null points. We propose a generalization of the familiar two-dimensional concept of a magnetic flux function to the case of a three-dimensional field connecting two planar boundaries. In this initial analysis, we require the normal magnetic field to have the same distribution on both boundaries. Using hyperbolic fixed points of the field line mapping, and their global stable and unstable manifolds, we define a unique flux partition of the magnetic field. This partition is more complicated than the corresponding (well-known) construction in a two-dimensional field, owing to the possibility of heteroclinic points and chaotic magnetic regions. Nevertheless, we show how the partition reconnection rate is readily measured with the generalized flux function. We relate our partition reconnection rate to the common definition of three-dimensional reconnection in terms of integrated parallel electric field. An analytical example demonstrates the theory and shows how the flux partition responds to an isolated reconnection event.

Citation

Yeates, A., & Hornig, G. (2011). A Generalized Flux Function for Three-dimensional Magnetic Reconnection. Physics of Plasmas, 18(10), Article 102118. https://doi.org/10.1063/1.3657424

• Journal Article Type: Article
• Publication Date: Oct 1, 2011
• Deposit Date: Dec 22, 2011
• Publicly Available Date: Sep 26, 2012
• Journal: Physics of Plasmas
• Print ISSN: 1070-664X
• Electronic ISSN: 1089-7674
• Publisher: American Institute of Physics
• Peer Reviewed: Peer Reviewed
• Volume: 18
• Issue: 10
• Article Number: 102118
• DOI: https://doi.org/10.1063/1.3657424
• Public URL: https://durham-repository.worktribe.com/output/1501596