Taken together, advection modulates the initial dynamics — essentially independent of reactions — and biases the overall system toward a particular configuration, which is then maintained by reactions.

Interestingly, we find that multiple pattern sizes around the predicted one are stable!
Linear stability analysis reveals that emulsions become stable against Ostwald ripening from a minimal pattern size onwards.

Reactions arrest coarsening (left)
Advection accelerates early coarsening (right)

👉 We numerically and analytically determine the final equilibrium pattern size using a mapping to an equilibrium system.
👉 Looking at dissipation, we observe that advection peaks in early stages of coarsening.

New preprint 🥳
In our new paper, we show that “Advection selects pattern in multi-stable emulsions of active droplets” — which provides a path toward controlling regular arrangements of droplets. 🧵
📄 arxiv.org/abs/2510.00827

Just leaving Paris after 3 weeks of summer school on combining maths and physics to tackle #ActiveMatter.
I gained new perspectives, met wonderful people and had fascinating discussions. It was great to communicate my research to so many interested people!
And of course, Paris was just wonderful!