Force-free equilibrium at magnetic neutral points

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Current Density, Force-Free Magnetic Fields, Magnetic Flux, Neutral Currents, Cold Plasmas, Current Sheets, Energy Conversion, Energy Dissipation, Plasma Density

Scientific paper

It is shown that, at neutral points of force-free magnetic fields, the electric current density must vanish. This property is independent of whether the neutral points are isolated or (e.g.) fill lines or surfaces. One implication is the fact that in a cold pressureless plasma the formation of neutral current sheets cannot be adiabatically slow. The field-line topology in the neighbourhood of neutral points is discussed.

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