Dynamics of a Thin Twisted Ux Tube

A set of dynamical equations are derived for a slender tube of isolated magnetic ux generalizing a model due to Spruit. The tube is assumed to consist of eld lines which twist about the tube's axis at some rate q. The equations describe the evolution of the axis and the evolution of the twist. They include the interaction between twist and motions of the axis described as writhing. Through this interaction the motion of the axis can introduce twist into a previously untwisted tube. The twist so introduced will have a sign opposite to the local handedness of the axial curve. This may be important for the generation of current in emerging active regions. Tubes with suuciently large twist are subject to an instability which distorts the axis into a helix of pitch similar to the tubes eld lines. Such an instability might be responsible for observed morphology in-spots on the Sun.