The Role of Largest Connected Components in Collective Motion (ANTS 2018)

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