Scale-Free Chaos in the 2D Harmonically Confined Vicsek Model
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 21 April 2024).
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 April 21, 2024.
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 April 21, 2024).
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.