Current sheets in two-dimensional potential magnetic fields. I - General properties

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Current Sheets, Magnetic Field Configurations, Stellar Magnetic Fields, Boundary Value Problems, Gravitational Fields, Magnetostatic Fields, Stellar Flares, Topology

Scientific paper

The equilibrium of a set of current sheets embedded in a potential magnetic field is studied as well as some general properties of quasi-potential singular equilibrium (QPSE). Representations were established for an x-invariant magnetic field which is potential everywhere but on a set of singular surfaces. It is shown that, in a QPSE, the current sheets are analytical curves. An analytical curve may always be interpreted as a current sheet embedded in a QPSE.

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