Three dimensional dynamics of ferromagnetic swimmer

It is shown that a flexible ferromagnetic filament self-propels perpendicularly to the AC magnetic field during a limited period of time due to the instability of the planar motion with respect to three dimensional perturbations. The transition from the oscillating U-like shapes to the oscillating S-like shapes is characterized by the calculated Wr number.

Research Highlights
► A ferromagnetic filament self-propels perpendicularly to the AC field.
► During the self-propulsion cycle the filament moves both forward and backward.
► The self-propulsion stops due to the three dimensional instability.
► The mechanism of the self-propulsion is similar to that used by some microorganisms.