ON THE FROZEN FORCE-FREE MAGNETIC FIELD

<正> In this paper, the general features of the axial symmetrical force-free field with large magnetic Reynold number （Rm>>1） are discussed. By introducing the magnetic surface function, it is possible to derive a set of fundamental equations describing force-free field of frozen type from both the conditions of force-free field and magnetic induced equations. The configuration of a magnetic field is actually of a forzen force-free field only if all the three relations of the fundamental equations are satisfied. We present several consistent solutions. For the static cases, the force-free factor α of the field need not be a constant. On condition that α is a constant, these solutions are satisfied also as if the azimuthal velocity component was a function of the magnetic surface function. The consistent solutions of some steady three-dimensional motion and the similar solutions of the unsteady motion are obtained. Finally, the structures and the evolutions of the magnetic rope are analysed, and some more