Metric and topologic interactions: some quantifiable similarities and differences

L. BARBERIS

Niza

Workshop; Dynamics of passive and active particles; 2013

A study on the criticality of the phase transition that experiences a system of self-propelled particles is presented. In our model, the particles relate topologically among themselves interacting with their first seven neighbors. The set of critical exponents, both static and dynamic, was measured. The results are compared with their counterparts in the standard Vicsek model that considers metric interactions, i.e., each agent interacts with all neighbors within a fixed radius. Our results allow to establish that both, metric and topological systems, shares critical properties but, away from the critical point, their behavior would be very different.