# Chaos and mixing in self-propelled droplets

## TL;DR

This paper investigates how self-propelled droplets with internal flow exhibit chaotic tracer particle trajectories, leading to enhanced mixing and transport in biological and synthetic systems.

## Contribution

It demonstrates that autonomous self-propelled droplets can induce chaotic advection and mixing, even with regular swimmer motion, highlighting their potential for efficient transport.

## Key findings

- Tracer particles follow chaotic trajectories in self-propelled droplets.
- Flow mixing can significantly accelerate transport compared to diffusion.
- Chaotic advection occurs even when the droplet's motion is regular.

## Abstract

We consider self-propelled droplets which are driven by internal flow. Tracer particles, which are advected by the flow, in general follow chaotic trajectories, even though the motion of the autonomous swimmer is completely regular. The flow is mixing, and for P\'{e}clet and Batchelor numbers, which are realized e.g. in eucaryotic cells, advective mixing can substantially accelerate and even dominate transport by diffusion.