2020/04/27 by Pedro Aceves-Sánchez, Aceves-Sanchez, Pedro, Pierre Degond +9
Physics and Astronomy · Engineering · #Micro and Nano Robotics #Modular Robots and Swarm Intelligence #Evacuation and Crowd Dynamics
paper · pdf · doi:10.48550/arxiv.2004.12638
We model and study the patterns created through the interaction of\ncollectively moving self-propelled particles (SPPs) and elastically tethered\nobstacles. Simulations of an individual-based model reveal at least three\ndistinct large-scale patterns: travelling bands, trails and moving clusters.\nThis motivates the derivation of a macroscopic partial differential equations\nmodel for the interactions between the self-propelled particles and the\nobstacles, for which we assume large tether stiffness. The result is a coupled\nsystem of non-linear, non-local partial differential equations. Linear\nstability analysis shows that patterning is expected if the interactions are\nstrong enough and allows for the predictions of pattern size from model\nparameters. The macroscopic equations reveal that the obstacle interactions\ninduce short-ranged SPP aggregation, irrespective of whether obstacles and SPPs\nare attractive or repulsive.\n