Figure 11
From: Controlling inter-particle distances in crowds of motile, cognitive, active particles
(a) Polarization P as a function of maneuverability \(\Omega\) at vision angle \(\pi /4\), density \(\Phi =0.625\) at various \(\hbox{Pe}\), as indicated. The sharp drop of P at \(1/\Omega \simeq 0.05\) indicates a transition from the uniformly distributed, randomly moving ABPs at low \(\Omega\) to collective motion in the form of bands at high \(\Omega\). (b) Persistence length \(\xi _{p}\) extracted from the spatial correlation function for \(\Phi =0.625\), and vision angle \(\pi /4\), for various indicated \(\hbox{Pe}\) as a function of maneuverability \(\Omega\), showing the transition from randomly moving ABPs having low persistence motion to highly persistence collective motion.
