Transport of Self-propelled Janus Particles Confined in Corrugated Channel with L\'{e}vy Noise

The transport of self-propelled particle confined in corrugated channel with L\'{e}vy noise is investigated. The parameters of L\'{e}vy noise(i.e., the stability index, the asymmetry parameter, the scale parameter, the location parameter) and the parameters of confined corrugated channel(i.e., the compartment length, the channel width and the bottleneck size) have joint effect on the particle. The average $\langle V\rangle$ shows complex behavior with increasing stability index and the tuning parameter. There exit flow reverse phenomena with increasing mean parameter. $\langle V\rangle$ shows cyclic change with increasing phase angle $\phi$.