Characterization of magnetic field lines in connection with the transport of field lines in Beltrami magnetic fields

Single and double curl Beltrami magnetic fields are studied numerically in connection with their transport properties and the results are compared and analyzed by characterizing the magnetic field lines. In the phase space of single curl Beltrami field, islands of regular field lines are embedded into the chaotic sea. Whereas the field lines for certain solutions of double curl Beltrami field are chaotic over the entire space. Due to the presence of regular islands in phase space, the chaotic trajectories show stickiness phenomena which is characterized by the distribution of a chaotic field line. The dynamical traps in chaotic orbits due to stickiness phenomena are also characterized by the distribution of finite distance Lyapunov exponents. Finally recurrence time distribution of chaotic trajectories is plotted to understand their global behaviour.