Tearing mode instability in the atmosphere above a sunspot

Statistics – Computation

Scientific paper

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Critical Temperature, Flux Density, Plasma Equilibrium, Solar Atmosphere, Sunspots, Tearing Modes (Plasmas), Computational Astrophysics, Magnetic Flux, Solar Magnetic Field, Thresholds

Scientific paper

Numerical calculations of 37 sets of parameter values for three layers of the atmosphere are performed to study tearing mode instability above a sunspot. The energy density released by tearing mode instability is found to fall rapidly with rising temperature, and to be much greater in the columnar pinch than in the thin plate pinch. The critical temperature is shown to increase with the intensity of the sheared magnetic field, to decrease with its width, and to be higher in the columnar pitch than in the thin plate pinch. Results show the energy released by the tearing mode instability raises the local temperature by less than 1 K at the surface of the photosphere. The local temperature is raised sharply to over +6 K when the sheared width of the magnetic field is below a certain threshold value.

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