Plot Open Access
Simulation program, plotting script, data, and finished plots
to compile on a linux machine type "g++ -O3 -Wall main.c"
Systems showing collective motion are partially described by
a distribution of positions and a distribution of velocities. While models
of collective motion often focus on system features governed mostly by
velocity distributions, the model presented in this paper also incorpo-
rates also features influenced by positional distributions. A significant
feature, the size of the largest connected component of the graph in-
duced by the particle positions and their perception range, is identified
using a 1-d self-propelled particle model (SPP). Based on largest con-
nected components, properties of the system dynamics are found that
are time-invariant. A simplified macroscopic model can be defined based
on this time-invariance, which may allow for simple, concise, and precise
predictions of systems showing collective motion.