Speed-Dispersion Induced Alignment : a 1D model inspired by swimming droplets experiments

Abstract

We investigate the collective dynamics of self-propelled droplets, confined in a one dimensional micro-fluidic channel. On one hand, neighboring droplets align and form large trains of droplets moving in the same direction. On the other hand, the droplets condensates, leaving large regions with very low density. A careful examination of the interactions between two "colliding" droplets demonstrates that local alignment takes place as a result of the interplay between the dispersion of their speeds and the absence of Galilean invariance. Inspired by these observations, we propose a minimalistic 1D model of active particles reproducing such dynamical rules and, combining analytical arguments and numerical evidences, we show that the model exhibits a transition to collective motion in 1D for a large range of values of the control parameters. Condensation takes place as a transient phenomena which tremendously slows down the dynamics, before the system eventually settles into a homogeneous aligned phase.

arXiv comment5 pages, 5 figures

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Cited by in corpus (8)

• Collective effects in confined Active Brownian Particles
• Time-dependent properties of interacting active matter: dynamical behavior of one-dimensional systems of self-propelled particles
• Alignment and scattering of colliding active droplets
• Confined self-propulsion of an isotropic active colloid
• Swimming droplet in 1D geometries, an active Bretherton problem
• Active noise-driven particles under space-dependent friction in one dimension
• Spontaneous propulsion of an isotropic colloid in a phase-separating environment
• Conditions for the propulsion of a colloid surrounded by a mesoscale phase separation