Curvature-driven diffusive and dynamo actions in vortex unstretched filaments from solar prominences data

Examples of the use of Frenet curvature-driven motion of vortex unstretched filamentary diffusion processes in plasmas are investigated. The first example addresses the unstretched filaments which are embedded in a steady plasma flow. The particle number density of a weakly ionized plasma is shown to be proportional to the total Frenet curvature. The particle number does not decays in plasma along the filaments and is maintained against diffusion losses. This relation is tested against the solar prominence data for particle density of 10cm and height of the order of 10cm and non-thermal velocities of the order of 10cm.s. Making use of a molecular diffusion constant of 10cms one obtains a Frenet curvature of the solar loops of the order of 10cm which coincides with the twist (torsion) of the helical model where torsion coincides with curvature. The second one handles a generalization of the Grunzig et al [Phys. Plasmas 1 (1),259 (1995)] to the case a nonvanishing plasma velocity besides the auxiliary medium velocity considered by them. It is shown that the filaments are necessary torsion-free for the condition that the plasma velocity has the same direction of the auxiliary velocity flow. In this last example no dynamo action is present and diffusion action is fully dominant despite of the difference in velocities of plasma and auxiliary flows. This can be better understood by the unstretched carachther of the filaments despite of its folding or curvture.