  We consider an inertial active Ornstein-Uhlenbeck particle self-propelling in
a saw-tooth ratchet potential. Using the Langevin simulation and matrix
continued fraction method, the particle transport, steady state diffusion, and
coherence in transport are investigated throughout the ratchet. Spatial
asymmetry is found to be the key criterion for the possibility of directed
transport in the ratchet. Interestingly, the simulated particle trajectories
and the corresponding position and velocity distribution functions reveal that
the system passes through an activity-induced transition in the transport from
the running phase to the locked phase with the self-propulsion/activity time of
the dynamics. This is further corroborated by the mean square displacement
(MSD) calculation. The MSD gets suppressed with increase in the persistence of
activity in the medium and finally approaches zero for very large value of self
propulsion time, reflecting a kind of trapping of the particle by the ratchet
for longer persistent of activity in the medium. The non-monotonic behaviour of
the particle current and Peclet number with self propulsion time confirms that
the particle transport and it's coherence can be enhanced or reduced by fine
tuning the persistent duration of activity. Moreover, for an intermediate range
of self-propulsion time in the dynamics as well as for an intermediate range of
mass of the particle, even though the particle current shows a pronounced
unusual maximum with mass, there is no enhancement in the Peclet number,
instead the Peclet number decreases with mass, confirming the degradation of
coherence in transport. Finally, from the analytical calculations, it is
observed that for a highly viscous medium, where the inertial influence is
negligibly small, the particle current approaches the current in the over
damped regime.
