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Scale-Free Chaos in the 2D Harmonically Confined Vicsek Model
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Playlist
  • chaos
  • phase transition
  • critical exponents
  • harmonically confined Vicsek model
  • scale-free chaos phase transition
  • insect swarms
  • largest Lyapunov exponent
Video Introduction

This video is adapted from 10.3390/e25121644

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 statistical mechanics 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. 

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González-Albaladejo, R.; Bonilla, L.L. Scale-Free Chaos in the 2D Harmonically Confined Vicsek Model. Encyclopedia. Available online: https://encyclopedia.pub/video/video_detail/1121 (accessed on 05 December 2025).
González-Albaladejo R, Bonilla LL. Scale-Free Chaos in the 2D Harmonically Confined Vicsek Model. Encyclopedia. Available at: https://encyclopedia.pub/video/video_detail/1121. Accessed December 05, 2025.
González-Albaladejo, Rafael, Luis L. Bonilla. "Scale-Free Chaos in the 2D Harmonically Confined Vicsek Model" Encyclopedia, https://encyclopedia.pub/video/video_detail/1121 (accessed December 05, 2025).
González-Albaladejo, R., & Bonilla, L.L. (2024, March 07). Scale-Free Chaos in the 2D Harmonically Confined Vicsek Model. In Encyclopedia. https://encyclopedia.pub/video/video_detail/1121
González-Albaladejo, Rafael and Luis L. Bonilla. "Scale-Free Chaos in the 2D Harmonically Confined Vicsek Model." Encyclopedia. Web. 07 March, 2024.
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