Collective Motion with Anticipation: Flocking, Spinning, and Swarming

Abstract

We investigate the collective dynamics of self-propelled particles able to probe and anticipate the orientation of their neighbors. We show that a simple anticipation strategy hinders the emergence of homogeneous flocking patterns. Yet, anticipation promotes two other forms of self-organization: collective spinning and swarming. In the spinning phase, all particles follow synchronous circular orbits, while in the swarming phase, the population condensates into a single compact swarm that cruises coherently without requiring any cohesive interactions. We quantitatively characterize and rationalize these phases of polar active matter and discuss potential applications to the design of swarming robots.

6 pages, 4 figures

References in corpus (4)

• Novel type of phase transition in a system of self-driven particles
• Collective motion of self-propelled particles interacting without cohesion
• A mean-field theory for self-propelled particles interacting by velocity alignment mechanisms
• Turning with the others: novel transitions in an SPP model with coupling of accelerations

Cited by in corpus (7)

• Silent Flocks
• Spontaneous vortex formation by microswimmers with retarded attractions
• Gaussian theory for spatially distributed self-propelled particles
• Anticipation breeds alignment
• Phase behaviors and dynamics of active particle systems in double-well potential
• Solving the Kinetic Ising Model with Non-Reciprocity
• Game-based coalescence over multi-agent systems