Figure 2.

Typical trajectories of systems moving in open space with N = 512 particles, topological short-range interactions, fixed noise intensity η = 0.15, initial density ρ₀ = 0.3 and different values of κ. (a) For κ = 0 the system is not able to organize into an ordered state even when ρ₀ and η take values corresponding to the ordered phase of the standard Vicsek Model with periodic boundary conditions. (b) For κ = 0.01 the system becomes ordered and forms a spatially localized group. Note the noise-driven turns performed by the entire group. (c) For κ = 0.1 the system remains more compact and ordered for longer periods of time. All the trajectories were computed for 10⁶ time steps.