RT Journal Article T1 Scale free chaos in swarms A1 González Albaladejo, Rafael A1 Carpio Rodríguez, Ana María A1 Bonilla, Luis L. AB Swarms are examples of collective behavior of insects, which are singular among manifestations of flocking. Swarms possess strong correlations but no global order and exhibit finite-size scaling with a dynamic critical exponent z ≈ 1. We have discovered a phase transition of the three-dimensional harmonically confined Vicsek model that exists for appropriate noise and small confinement strength. On the critical line of confinement versus noise, swarms are in a state of scale-free chaos that can be characterized by minimal correlation time, correlation length proportional to swarm size and topological data analysis. The critical line separates dispersed single clusters from confined multicluster swarms. Susceptibility, correlation length, dynamic correlation function and largest Lyapunov exponent obey power laws. Their critical exponents agree with those observed in natural midge swarms, unlike values obtained from the order-disorder transition of the standard Vicsek model which confines particles by artificial periodic boundary conditions. YR 2022 FD 2022-08-18 LK https://hdl.handle.net/20.500.14352/72667 UL https://hdl.handle.net/20.500.14352/72667 LA eng NO Ministerio de Ciencia, Innovación y Universidades (España) NO Fondo Europeo de Desarrollo Regional NO Universidad Carlos III DS Docta Complutense RD 9 abr 2025