2016/09/01 by A. I. Chervanyov, H. Gomez, U. Thiele · 1 citation
Computer Science · Engineering · Physics and Astronomy · #Boundary (topology) #Collective motion #Coupling (piping) #Distributed Control Multi-Agent Systems #Field (mathematics) #Homogeneous #Micro and Nano Robotics #Modular Robots and Swarm Intelligence #Plane (geometry) #Relaxation (psychology) #Steady state (chemistry) #cond-mat.soft
paper · pdf · doi:10.1209/0295-5075/115/68001
published as EPL, 115(6), 68001 (2016) · 3 Figures
openalex publication_date 2016/09/01 · openalex created_date 2016/11/04 · arxiv created 2016/11/07 · arxiv updated 2016/11/08 · openalex updated_date 2026/08/05
We investigate the collective behavior of self-propelled particles (SPPs) undergoing competitive processes of pattern formation and rotational relaxation of their self-propulsion velocities. In full accordance with previous work, we observe transitions between different steady states of the SPPs caused by the intricate interplay among the involved effects of pattern formation, orientational order, and coupling between the SPP density and orientation fields. Based on rigorous analytical and numerical calculations, we prove that the rate of the orientational relaxation of the SPP velocity field is the main factor determining the steady states of the SPP system. Further, we determine the boundaries between domains in the parameter plane that delineate qualitatively different resting and moving states. In addition, we analytically calculate the collective velocity of the SPPs and show that it perfectly agrees with our numerical results. We quantitatively demonstrate that does not vanish upon approaching the transition boundary between the moving pattern and homogeneous steady states.