RT Journal Article
T1 Scale-free chaos in the 2D harmonically confined Vicsek model
A1 González Albaladejo, Rafael
A1 Bonilla, Luis L.
AB Animal motion and flocking are ubiquitous nonequilibrium phenomena that are often studied within active matter. In examples such as insect swarms, macroscopic quantities exhibit power laws with measurable critical exponents and ideas from phase transitions and statisticalmechanics have been explored to explain them. The widely used Vicsek model with periodic boundary conditions has an ordering phase transition but the corresponding homogeneous ordered or disordered phases are different from observations of natural swarms. If a harmonic potential (instead of a periodic box) is used to confine particles, then the numerical simulations of the Vicsek model display periodic, quasiperiodic, and chaotic attractors. The latter are scale-free on critical curves that produce power laws and critical exponents. Here, we investigate the scale-free chaos phase transition in two space dimensions. We show that the shape of the chaotic swarm on the critical curve reflects the split between the core and the vapor of insects observed in midge swarms and that the dynamic correlation function collapses only for a finite interval of small scaled times. We explain the algorithms used to calculate the largest Lyapunov exponents, the static and dynamic critical exponents, and compare them to those of the three-dimensional model.
PB MDPI
YR 2023
FD 2023-12
LK https://hdl.handle.net/20.500.14352/103727
UL https://hdl.handle.net/20.500.14352/103727
LA eng
NO González-Albaladejo, R.; Bonilla, L.L. Scale-Free Chaos in the 2D Harmonically Confined Vicsek Model. Entropy 2023, 25, 1644. https://doi.org/10.3390/e25121644
NO 2023 Descuento MDPI
NO European Commission
NO Ministerio de Ciencia, Innovación y Universidades (España)
NO Agencia Estatal de Investigación (España)
NO Ministerio de Economía y Competitividad (España)
NO Comunidad de Madrid
NO Universidad Carlos III
DS Docta Complutense
RD 8 abr 2025