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DY: Fachverband Dynamik und Statistische Physik

DY 56: Poster - Statistical Physics

DY 56.18: Poster

Donnerstag, 19. März 2015, 16:00–18:00, Poster A

Vortex arrays and mesoscale turbulence of self-propelled particles — •Robert Großmann¹, Pawel Romanczuk², Markus Bär¹, and Lutz Schimansky-Geier³ — ¹Physikalisch-Technische Bundesanstalt, Abbestraße 2-12, 10587 Berlin, Germany — ²Princeton University, Princeton, New Jersey 08543, USA — ³Humboldt-Universität zu Berlin, Newtonstraße 15, 12489 Berlin, Germany

We present a self-propelled particle model with Turing-like interactions: short-range alignment and anti-alignment at larger distances. The model is able to produce polarly 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.