Effects of heterogeneous social interactions on flocking dynamics

Abstract

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 {\em 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.

7 pages, 6 figures

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• Scalar model of flocking dynamics on complex social networks
• Phase transitions on a class of generalized Vicsek-like models of collective motion
• Social Network Heterogeneity Promotes Depolarization of Multidimensional Correlated Opinions
• Spontaneous collective transport in a heat--bath
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• Intrinsic statistical separation of subpopulations in heterogeneous collective motion via dimensionality reduction