2018/01/10 by M. Carmen Miguel, Jack T. Parley, Romualdo Pastor‐Satorras +1 · 45 citations
Mathematics · Medicine · Physics and Astronomy · Social Sciences · #Artificial intelligence #Collective motion #Computer science #Equivalence (formal languages) #Evolutionary Game Theory and Cooperation #Flocking (texture) #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Opinion Dynamics and Social Influence #Physics #Pure mathematics #Statistical physics #Topology (electrical circuits) #cond-mat.stat-mech #nlin.AO #physics.soc-ph
paper · pdf · doi:10.1103/physrevlett.120.068303
published in Physical Review Letters 120(6), 068303 (American Physical Society) · 7 pages, 6 figures
arxiv created 2018/01/10 · openalex publication_date 2018/02/08 · arxiv updated 2018/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Social relationships characterize the interactions that occur within social species and may have an important impact on collective animal motion. Here, we consider a variation of the standard Vicsek model for collective motion in which interactions are mediated by an empirically motivated scale-free topology that represents a heterogeneous pattern of social contacts. We observe that the degree of order of the model is strongly affected by network heterogeneity: more heterogeneous networks show a more resilient ordered state, while less heterogeneity leads to a more fragile ordered state that can be destroyed by sufficient external noise. Our results challenge the previously accepted equivalence between the static Vicsek model and the equilibrium XY model on the network of connections, and point towards a possible equivalence with models exhibiting a different symmetry.