2021/02/25 by Rüdiger Kürsten, Thomas Ihle · 14 citations
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #Classical mechanics #Diffusion and Search Dynamics #Flocking (texture) #Kinetic energy #Mean field theory #Micro and Nano Robotics #Molecular Communication and Nanonetworks #Physics #Quantum mechanics #Statistical physics #cond-mat.soft
paper · pdf · doi:10.1103/physreve.104.034604
published in Physical review. E 104(3), 034604 (American Physical Society) · 25 pages, 23 figures
arxiv created 2021/02/25 · openalex publication_date 2021/09/03 · arxiv updated 2021/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider aligning self-propelled particles in two dimensions. Their motion is given by Langevin equations and includes nonadditive N-particle interactions. The qualitative behavior is as for the famous Vicsek model. We develop a kinetic theory of flocking beyond mean field. In particular, we self-consistently take into account the full pair correlation function. We find excellent quantitative agreement of the pair correlations with direct agent-based simulations within the disordered regime. Furthermore we use a closure relation to incorporate spatial correlations of three particles. In that way we achieve good quantitative agreement of the onset of flocking with direct simulations. Compared to mean-field theory, the flocking transition is shifted significantly toward lower noise because directional correlations favor disorder. We compare our theory with a recently developed Landau-kinetic theory.