Numerical Simulations of the Vortex-Current Filaments Motion

抄録

Motion of the vortex-current filaments is examined via cutoff Biot-Savart numerical MHDsimulations of single and double filaments.We have introduced a vortex-current filament by analogy with the vortex filament.The vortex-current filament consists of electric current density and vorticitywhich are parallel to the axis of the filament.Attention is needed to demonstrate the difference between vortex andvortex-current filaments.In this paper we present two numerical results of vortex-current filament motion, using cutoff Biot-Savart method.In the limit of no electric current, the two results are in goodagreement with vortex filament systems.The first result is obtained for two circular ring filaments.Here we find there are some cases where the qualitative characteristics of the motionare unchanged by introducing electric current along the vorticity.On the other hand, the period of the mutual slipping motion of the filaments is changed.The second result is related to oscillation of an elliptic ring filamentwhich is well known phenomenon of the “pure” vortex filament.It is remarkable that the period of oscillation becomes infinite at a criticalelectric current inside the filament.