A geometric condition for robot-swarm cohesion and cluster-flock transition
arXiv:2409.04618 · doi:10.1073/pnas.2502211122
Abstract
We present a geometric design rule for size-controlled clustering of self-propelled particles. We show that active particles that tend to rotate under an external force have an intrinsic, signed parameter with units of curvature which we call curvity, that can be derived from first principles. Experiments with robots and numerical simulations show that properties of individual robots (radius and curvity) control pair cohesion in a binary system, and the stability of flocking and self-limiting clustering in a swarm, with applications in meta-materials and in embodied decentralized control.
7 pages, 5 figures SI: 13 pages, 4 figures Ancillary files: 9 videos
References in corpus (11)
- Novel type of phase transition in a system of self-driven particles
- Self-motile colloidal particles: from directed propulsion to random walk
- Motility-Induced Phase Separation
- Statistical Mechanics of Interacting Run-and-Tumble Bacteria
- Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis
- Spontaneous velocity alignment in Motility-induced Phase Separation
- Boltzmann-Ginzburg-Landau approach for continuous descriptions of generic Vicsek-like models
- Hyperuniform Active Chiral Fluids with Tunable Internal Structure
- \textit{C. elegans} collectively forms dynamical networks
- Simultaneous Phase Separation and Pattern Formation in Chiral Active Mixtures
- Extreme Spontaneous Deformations of Active Crystals