Cooperative dynamics of active heterogeneous systems

Abstract

Collective motion is fundamental in flocking or schooling dynamics and represent one of the most fascinating sights in nature. In this paper, to describe collective motion, we use one of the most representative models called the Vicsek Model. The main features of this model is a noise-driven phase transition between ordered and disordered phase and its mathematical and computational simplicity. We reproduce its basic results and continue our work adding a leader to study how leadership affects its dynamics, showing that this new ingredient breaks the phase transition.