Transition to synchrony in chiral active particles

TL;DR

This paper investigates how chiral active particles in two dimensions transition from chaotic collisions to synchronized, collisionless states, with external forcing accelerating this transition, revealing insights into collective dynamics.

Contribution

It introduces a study of the transient chaos and synchronization transition in deterministic chiral active particles with external forcing effects.

Findings

Chaos lifetime grows exponentially with particle number

External forcing facilitates synchronization transition

Particles eventually reach a collisionless synchronized state

Abstract

I study deterministic dynamics of chiral active particles in two dimensions. Particles are considered as discs interacting with elastic repulsive forces. An ensemble of particles, started from random initial conditions, demonstrates chaotic collisions resulting in their normal diffusion. This chaos is transient, as rather abruptly a synchronous collisionless state establishes. The life time of chaos grows exponentially with the number of particles. External forcing (periodic or chaotic) is shown to facilitate the synchronization transition.