2014/04/30 by Robert Großmann, Robert Grossmann, Pawel Romanczuk +3 · 1 citation
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #Classical mechanics #Diffusion and Search Dynamics #Langevin equation #Materials science #Mechanics #Mesoscale meteorology #Micro and Nano Robotics #Molecular Communication and Nanonetworks #Pattern formation #Phase (matter) #Phase diagram #Physics #Quantum mechanics #Range (aeronautics) #Statistical physics #Turbulence #Vortex #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.113.258104
published as Phys. Rev. Lett. 113 (2014) 258104 · 5 pages, 3 figures
arxiv created 2014/05/30 · openalex publication_date 2014/12/19 · arxiv updated 2016/05/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
Inspired by the Turing mechanism for pattern formation, we propose a simple self-propelled particle model with short-range alignment and antialignment at larger distances. It is able to produce orientationally ordered states, periodic vortex patterns, and mesoscale turbulence, which resembles observations in dense suspensions of swimming bacteria. The model allows a systematic derivation and analysis of a kinetic theory as well as hydrodynamic equations for density and momentum fields. A phase diagram with regions of pattern formation as well as orientational order is obtained from a linear stability analysis of these continuum equations. Microscopic Langevin simulations of self-propelled particles are in agreement with these findings.