Magnetic flux tubes inside the sun*

Bipolar magnetic active regions are the largest concentrations of magnetic flux on the Sun. In this paper, the properties of active regions are investigated in terms of the dynamics of magnetic flux tubes which emerge from the base of the solar convection zone, where the solar cycle dynamo is believed to operate, to the photosphere. Flux tube dynamics are computed with the ‘‘thin flux tube’’ approximation, and by using magnetohydrodynamics simulation. Simulations of active region emergence and evolution, when compared with the known observed properties of active regions, have yielded the following results: ~1! The magnetic field at the base of the convection zone is confined to an approximately toroidal geometry with a field strength in the range 3 – 10310 G. The latitude distribution of the toroidal field at the base of the convection zone is more or less mirrored by the observed active latitudes; there is not a large poleward drift of active regions as they emerge. The time scale for emergence of an active region from the base of the convection zone to the surface is typically 2–4 months. ~2! The tilt of active regions is due primarily to the Coriolis force acting to twist the diverging flows of the rising flux loops. The dispersion in tilts is caused primarily by the buffeting of flux tubes by convective motions as they rise through the interior. ~3! Coriolis forces also bend active region flux tube shapes toward the following ~i.e., antirotational! direction, resulting in a steeper leg on the following side as compared to the leading side of an active region. When the active region emerges through the photosphere, this results in a more rapid separation of the leading spots away from the magnetic neutral line as compared to the following spots. This bending motion also results in the neutral line being closer to the following magnetic polarity. ~4! The properties of the strongly sheared, flare productive d-spot active regions can be accounted for by the dynamics of highly twisted V loops that succumb to the helical kink instability as they emerge through the solar interior. © 2000 American Institute of Physics. @S1070-664X~00!97305-1#