Hydrodynamic fluctuations in confined emulsions

TL;DR

This paper investigates the collective hydrodynamic fluctuations of non-Brownian droplets in confined microchannels, revealing that density excitations propagate freely due to long-range interactions and collisions, supported by a comprehensive experimental and theoretical analysis.

Contribution

It provides the first detailed characterization and theoretical understanding of density fluctuations in confined emulsions, highlighting the role of long-range hydrodynamics and collisions.

Findings

Density excitations propagate at all scales and directions.

Hydrodynamic interactions and collisions shape the fluctuation spectrum.

Theoretical model quantitatively matches experimental data.

Abstract

When an ensemble of particles interact hydrodynamically, they generically display large-scale transient structures such as swirls in sedimenting particles [1], or colloidal strings in sheared suspensions [2]. Understanding these nonequilibrium fluctuations is a very difficult problem, yet they are of great importance for a wide range of processes including pigment deposition in cosmetic or paint films, the transport of microfluidic droplets, ... All these samples concern rigidly confined fluids, which we consider in this paper. We address the collective dynamics of non-Brownian droplets cruising in a shallow microchannel. We provide a comprehensive characterization of their spatiotemporal density fluctuations. We show that density excitations freely propagate at all scales, and in all directions even though the particles are neither affected by potential forces nor by inertia. We introduce a theory which quantitatively accounts for our experimental findings. By doing so we demonstrate that the fluctuation spectrum of this nonequilibrium system is shaped by the combination of truly long-range hydrodynamic interactions and local collisions.