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

TL;DR

This study explores how Le9vy noise and channel geometry influence the transport behavior of self-propelled Janus particles in confined, corrugated channels, revealing complex velocity patterns and directional transport phenomena.

Contribution

It introduces the effects of Le9vy noise parameters on particle transport in corrugated channels, highlighting flow reversal and directional transport induced by noise asymmetry.

Findings

Flow reversal occurs with increasing mean parameter.

Left distribution noise induces x directional transport.

Average velocity exhibits complex dependence on stability index.

Abstract

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 effects on the system. There exits flow reverse phenomena with increasing mean parameter. Left distribution noise will induce $-x$ directional transport and right distribution noise will induce $+x$ directional transport. The distribution skewness will effect 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.