Effects of Heterogeneous Social Interactions on Flocking Dynamics

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...

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Bibliographic Details
Published in:Physical review letters Vol. 120; no. 6; pp. 068303 - 68307
Main Authors: Miguel, M. Carmen, Parley, Jack T., Pastor-Satorras, Romualdo
Format: Journal Article
Language:English
Published: United States American Physical Society 08.02.2018
Subjects:
Animals
Complex systems
Mecànica estadística
Models, Biological
Phase transformations (Statistical physics)
Population Dynamics
Sistemes complexos
Social Behavior
Statistical mechanics
Transformacions de fase (Física estadística)
ISSN:0031-9007, 1079-7114, 1079-7114
Online Access:Get full text
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Summary: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.
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ISSN:0031-9007
1079-7114
1079-7114
DOI:10.1103/PhysRevLett.120.068303