# Directional Transport of Propelled Brownian Particles Confined in a Smooth Corrugated Channel with Colored Noise

## TL;DR

This study investigates how different types of noise influence the directional transport of self-propelled Brownian particles in a confined corrugated channel, revealing complex dependencies on noise intensities and force amplitudes.

## Contribution

It provides new insights into the effects of colored noise and periodic forces on particle transport in confined geometries, highlighting non-monotonic behaviors.

## Key findings

- Large x-direction noise reduces directional movement at low angle noise.
- Maximum average velocity occurs at an optimal x-direction noise level when angle noise is high.
- Movement direction can change multiple times with increasing periodic force amplitude.

## Abstract

The transport phenomenon(directional movement) of self-propelled Brownian particles moving in a smooth corrugated confined channel is investigated. It is found that large $x$ direction noise intensity should reduce particles directional movement when the angle Gaussian noise intensity is small. The average velocity has a maximum with increasing $x$ direction noise intensity when angle Gaussian noise intensity is large. $y$ directional noise has negligible effect on $x$ directional movement. Large angle Gaussian noise intensity should weaken the directional transport. Interestingly, the movement direction changes more than once with increasing periodic force amplitude.