Unique topological characterization of braided magnetic fields

A. R. Yeates*, G. Hornig

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

Abstract

We introduce a topological flux function to quantify the topology of magnetic braids: non-zero, line-tied magnetic fields whose field lines all connect between two boundaries. This scalar function is an ideal invariant defined on a cross-section of the magnetic field, and measures the average poloidal magnetic flux around any given field line, or the average pairwise crossing number between a given field line and all others. Moreover, its integral over the cross-section yields the relative magnetic helicity. Using the fact that the flux function is also an action in the Hamiltonian formulation of the field line equations, we prove that it uniquely characterizes the field line mapping and hence the magnetic topology. (C) 2013 American Institute of Physics. [http://dx.doi.org/10.1063/1.4773903]

Original languageEnglish
Article number012102
Number of pages5
JournalPhysics of Plasmas
Volume20
Issue number1
DOIs
Publication statusPublished - Jan 2013

Keywords

  • SOLAR CORONA
  • DYNAMICS
  • RECONNECTION
  • RELAXATION
  • LINES
  • MAPS
  • FORM

Fingerprint

Dive into the research topics of 'Unique topological characterization of braided magnetic fields'. Together they form a unique fingerprint.

Cite this