title: Vortex arrays and mesoscale turbulence of self-propelled particles.
abstract: 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.
authors.affiliation: Physikalisch-Technische Bundesanstalt Berlin, Abbestraße 2-12, 10587 Berlin, Germany.
authors.forename: Robert
authors.initials: R
authors.lastname: Grossmann
authors.affiliation: Physikalisch-Technische Bundesanstalt Berlin, Abbestraße 2-12, 10587 Berlin, Germany.
authors.forename: Pawel
authors.initials: P
authors.lastname: Romanczuk
authors.affiliation: Physikalisch-Technische Bundesanstalt Berlin, Abbestraße 2-12, 10587 Berlin, Germany.
authors.forename: Markus
authors.initials: M
authors.lastname: Bär
authors.affiliation: Department of Physics, Humboldt-Universität zu Berlin, Newtonstraße 15, 12489 Berlin, Germany.
authors.forename: Lutz
authors.initials: L
authors.lastname: Schimansky-Geier