Rectified transport of a ring containing self-propelled particles

Rectified transport of a ring containing self-propelled particles is numerically investigated in a two-dimensional herringbone potential. It is found that the ring powered by active particles can be rectified in the asymmetric potential and the direction of the transport is determined by the asymmetry of the potential. The ring radius can strongly affect the transport and the role of the radius on the average velocity depends on the profile of the potential and the self-propulsion speed. There exist optimal values of the parameters (the self-propulsion and the modulation parameter of the potential) at which the average velocity takes its maximal value. The average velocity decreases monotonously with increase of the parameters (the translational diffusion, the rotational diffusion and the particle number). (paper: classical statistical mechanics, equilibrium and non-equilibrium)