Self-organization in two-dimensional swarms

Abstract

We undertake a systematic numerical exploration of self-organized states in a deterministic model of interacting self-propelled particles in two dimensions. In the process, we identify various types of collective motion, namely, disordered swarms, rings, and droplets. We construct a "phase diagram," which summarizes our results as it delineates phase transitions ?all discontinuous? between disordered swarms and vortical flocks on one hand and bound vortical flocks and expanding formations on the other. One of the transition lines is found to have a close analogy with the temperature-driven gas-liquid transition, in finite clusters with the same interparticle potential. Furthermore, we report on a type of flocking which takes place in the presence of a uniform external driver. Altogether, our results set a rather firm stage for experimental refinement and/or falsification of this class of models.

References in corpus (3)

• Novel type of phase transition in a system of self-driven particles
• Collective behavior of interacting self-propelled particles
• State Transitions and the Continuum Limit for a 2D Interacting, Self-Propelled Particle System

Cited by in corpus (7)

• Thermal and Athermal Swarms of Self-Propelled Particles
• Emergence of collective motion in a model of interacting Brownian particles
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• Deterministic active particles in the overactive limit
• Analysis of aligning active local searchers orbiting around their common home position
• Generating self-organizing collective behavior using separation dynamics from experimental data