Advection selects pattern in multistable emulsions of active droplets

Fuente: arXiv
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Main Authors: Köstler, Stefan, Qiang, Yicheng, Kusters, Guido, Zwicker, David
Format: Preprint
Published: 2025
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author Köstler, Stefan
Qiang, Yicheng
Kusters, Guido
Zwicker, David
author_facet Köstler, Stefan
Qiang, Yicheng
Kusters, Guido
Zwicker, David
contents Controlling the size of droplets, for example in biological cells, is challenging because large droplets typically outcompete smaller droplets due to surface tension. This coarsening is generally accelerated by hydrodynamic effects, but active chemical reactions can suppress it. We show that the interplay of these processes leads to three different dynamical regimes: (1) Advection dominates the coalescence of small droplets, (2) diffusion leads to Ostwald ripening for intermediate sizes, and (3) reactions finally suppress coarsening. Interestingly, a range of final droplet sizes is stable, of which one is selected depending on initial conditions. Our analysis demonstrates that hydrodynamic effects control initial droplet sizes, but they do not affect the later dynamics, in contrast to passive emulsions.
format Preprint
id arxiv_https___arxiv_org_abs_2510_00827
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Advection selects pattern in multistable emulsions of active droplets
Köstler, Stefan
Qiang, Yicheng
Kusters, Guido
Zwicker, David
Soft Condensed Matter
Statistical Mechanics
Biological Physics
Fluid Dynamics
Controlling the size of droplets, for example in biological cells, is challenging because large droplets typically outcompete smaller droplets due to surface tension. This coarsening is generally accelerated by hydrodynamic effects, but active chemical reactions can suppress it. We show that the interplay of these processes leads to three different dynamical regimes: (1) Advection dominates the coalescence of small droplets, (2) diffusion leads to Ostwald ripening for intermediate sizes, and (3) reactions finally suppress coarsening. Interestingly, a range of final droplet sizes is stable, of which one is selected depending on initial conditions. Our analysis demonstrates that hydrodynamic effects control initial droplet sizes, but they do not affect the later dynamics, in contrast to passive emulsions.
title Advection selects pattern in multistable emulsions of active droplets
topic Soft Condensed Matter
Statistical Mechanics
Biological Physics
Fluid Dynamics
url https://arxiv.org/abs/2510.00827