Swarms with canonical active Brownian motion
Alexander Gluck, Helmuth Huffel, and Sasa Ilijic
TL;DR
This paper introduces a swarm model where particles exhibit active Brownian motion with harmonic interactions, demonstrating both dynamic swarming and static states, supported by numerical simulations and stability analysis.
Contribution
It presents a novel swarm model with canonical active Brownian particles and analyzes its stability, combining numerical and analytical approaches.
Findings
Demonstrates amorphous swarming behavior
Identifies static configurations
Provides stability analysis of equilibria
Abstract
We present a swarm model of Brownian particles with harmonic interactions, where the individuals undergo canonical active Brownian motion, i.e. each Brownian particle can convert internal energy to mechanical energy of motion. We assume the existence of a single global internal energy of the system. Numerical simulations show amorphous swarming behavior as well as static configurations. Analytic understanding of the system is provided by studying stability properties of equilibria.
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