Varying self-inductance and energy storage in a sheared force-free arcade

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Coronal Loops, Force-Free Magnetic Fields, Inductance, Magnetic Energy Storage, Shear Flow, Solar Magnetic Field, Magnetic Field Configurations, Magnetohydrodynamic Flow

Scientific paper

The authors utilize an electric circuit analogy to model the build-up and storage of magnetic energy in the coronal loops known to exist in the atmosphere of the Sun. The parameterization of magnetic energy storage in an electric circuit analogue uses a bulk current I flowing in the circuit and a self-inductance L. Because the self-inductance is determined by the geometry of the magnetic configuration any change in its dimensions will change L. If L is increased, the amount of magnetic energy stored and the rate at which magnetic energy is stored are both increased. One way of increasing L is to shear the magnetic field lines and increase their effective geometrical length. Using the force-free field approximation for a magnetic arcade whose field lines are sheared by photospheric motions, the authors demonstrate that the increase of magnetic energy is initially due to the increase of the current intensity I and later mainly due to the increase of the self-inductance.

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