Extended Abstract for Poster: Turning with the Others: Novel Transitions in an SPP Model with Coupling of Accelerations

摘要

Collective motion of living beings (e.g. fish schools, bird flocks, bacterial colonies) exhibits a large variety of emergent phenomena. The first flocking model in computer science included a deterministic aligning of the particles with those in their local neighborhood [1], while first physics model (called self-propelled particle (SPP) model) of collective motion by Vicsek et al. [2], in addition to the alignment rule, contained random perturbations as an essential term, and demonstrated an ordering transition. We consider a generalized version of the original SPP model in three dimensions. By extending the factors influencing the ordering, the model assumes that the movement of particles depends on both the velocity and acceleration of neighboring particles. By changing the value of a weight parameter, which determines the relative influence of the velocity and acceleration terms, the system undergoes a kinetic phase transition. Below a critical value the system exhibits disordered motion, while above the critical value the dynamics resembles to that of the original SPP model. We argue that, in nature, a biological evolutionary process can drive the strategy variable towards the critical point, where information exchange between the particles is maximal.