Transport of Coupled Self-propelled Particles with Gaussian Colored Noise

Abstract: The transport of coupled self-propelled particles with colored noise and potential is investigated. Large translational motion noise intensity is good for the transport in $-x$ direction, but large self-correlation time of translational motion noise will inhibit this transport. For proper value of the asymmetry parameter, coupled passive particles move always in $-x$ direction with increasing angle noise intensity, but coupled self-propelled particles appear the transport reverse phenomenon with increasing angle noise intensity. Large length of the spring is good for the directional transport. The average velocity has a maximum and a minimum with increasing spring constant $k$. For passive and very small self-propelled speed coupled particles, large number of particle is good for directional movement, but the effect of coupling will become weak when the self-propelled speed is large.