Transport of self-propelled Janus particles confined in corrugated channel with Lévy noise

The transport of a self-propelled particle confined in a corrugated channel with Lévy noise is investigated. The parameters of Lévy noise (i.e. the stability index, the asymmetry parameter, the scale parameter, the location parameter) and the parameters of the confined corrugated channel (i.e. the compartment length, the channel width and the bottleneck size) have joint effects on the system. There exist flow reverse phenomena with increasing mean parameters. Left distribution noise will induce −x directional transport and right distribution noise will induce +x directional transport. The distribution skewness will affect the moving direction of the particle. The average velocity shows complex behavior with increasing stability index. The angle velocity and the angle Gaussian noise have little effects on the particle transport. (paper)