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We investigate the motion of active semiflexible filament with shapekinematics and hydrodynamic interaction including. Three types of filamentmotion are found: Translation, snaking and rotation. Change of flexibility willinduce instability of shape kinematics and further result in asymmetry of shapekinematics respect to the motion of mass center, which are responsible to acontinuous-like transition from translation to snaking and a first-order-liketransition from snaking to rotation, respectively. Of particular interest, wefind that long-range hydrodynamic interaction is not necessary for filamentrotation, but can enhance remarkably the parameter region for its appearance.This finding may provide an evidence that the experimentally found collectiverotation of active filaments is more likely to arise from the individualproperty even without the long-range hydrodynamic interaction.

Flexibility Induced Motion Transition of Active Filament: Rotation without Long-range Hydrodynamic Interaction