Ratchet effect of interacting active particles induced by cross-correlated noises

Through theoretical analysis and numerical simulation, we investigate ratchet effect of active particles in biased velocity potential in the presence of cross-correlated noises. For a single active particle, the mean velocity and mobility suggest that cross-correlated noises can lead to the ratchet effect. The finding is interpreted by the time series, the rectified potential, mean square displacement, and the diffusion coefficient. The diffusion displays hyperdiffusion, superdiffusion, and normal diffusion for different conditions and time intervals. The crossover times that separates these stages can be controlled by cross-correlated noises and static force. For interacting active particles, we find through time series and average velocity that the weak interaction between particles, which leads to weak collective motion, can enhance the ratchet effect. However, the strong interaction, which results in strong collective motion, can weaken, even eliminate it. Our results may provide a valuable way to control the transport of active particles through the ratchet effect. Graphic abstract