Critical transition between intensive and extensive active droplets

Fuente: arXiv
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Autori principali: Bauermann, Jonathan, Bartolucci, Giacomo, Boekhoven, Job, Jülicher, Frank, Weber, Christoph A.
Natura: Preprint
Pubblicazione: 2024
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author Bauermann, Jonathan
Bartolucci, Giacomo
Boekhoven, Job
Jülicher, Frank
Weber, Christoph A.
author_facet Bauermann, Jonathan
Bartolucci, Giacomo
Boekhoven, Job
Jülicher, Frank
Weber, Christoph A.
contents Emulsions ripen with an average droplet size increasing in time. In chemically active emulsions, coarsening can be absent, leading to a non-equilibrium steady state with mono-disperse droplet sizes. By considering a minimal model for phase separation and chemical reactions maintained away from equilibrium, we show that there is a critical transition in the conserved quantity between two classes of chemically active droplets: intensive and extensive ones. Single intensive active droplets reach a stationary size mainly controlled by the reaction-diffusion length scales. Intensive droplets in an emulsion interact only weakly, and the stationary size of a single droplet approximately sets the size of each droplet. On the contrary, the size of a single extensive active droplet scales with the system size, similar to passive phases. In an emulsion of many extensive droplets, their sizes become stationary only due to interactions among them. We discuss how the critical transition between intensive and extensive active droplets affects shape instabilities, including the division of active droplets, paving the way for the observation of successive division events in chemically active emulsions
format Preprint
id arxiv_https___arxiv_org_abs_2409_03629
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Critical transition between intensive and extensive active droplets
Bauermann, Jonathan
Bartolucci, Giacomo
Boekhoven, Job
Jülicher, Frank
Weber, Christoph A.
Soft Condensed Matter
Biological Physics
Emulsions ripen with an average droplet size increasing in time. In chemically active emulsions, coarsening can be absent, leading to a non-equilibrium steady state with mono-disperse droplet sizes. By considering a minimal model for phase separation and chemical reactions maintained away from equilibrium, we show that there is a critical transition in the conserved quantity between two classes of chemically active droplets: intensive and extensive ones. Single intensive active droplets reach a stationary size mainly controlled by the reaction-diffusion length scales. Intensive droplets in an emulsion interact only weakly, and the stationary size of a single droplet approximately sets the size of each droplet. On the contrary, the size of a single extensive active droplet scales with the system size, similar to passive phases. In an emulsion of many extensive droplets, their sizes become stationary only due to interactions among them. We discuss how the critical transition between intensive and extensive active droplets affects shape instabilities, including the division of active droplets, paving the way for the observation of successive division events in chemically active emulsions
title Critical transition between intensive and extensive active droplets
topic Soft Condensed Matter
Biological Physics
url https://arxiv.org/abs/2409.03629