Dresden 2014 – scientific programme

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BP: Fachverband Biologische Physik

BP 25: Statistical Physics in Biological Systems (joint DY/BP)

BP 25.9: Talk

Wednesday, April 2, 2014, 11:45–12:00, ZEU 160

Swarming of self-propelled agents with selective attraction-repulsion interaction - From microscopic dynamics to coarse-grained theories — •Pawel Romanczuk¹, Robert Grossmann¹, and Lutz Schimansky-Geier² — ¹Physikalisch-Technische Bundesanstalt, Berlin — ²Department of Physics, Humboldt Universität zu Berlin

We propose a model of stochastic self-propelled agents interacting via selective attraction-repulsion interaction, where individuals respond differently to their neighbours depending on their relative state of motion (approach versus movement away) [1]. This kind of social response is directly motivated by visual sensory information available to individuals (e.g. looming stimuli). We show that the model exhibits various modes and collective behaviour and derive a coarse-grained description via a non-linear Fokker-Planck equation, which allows us to formulate hydrodynamic equations for the density and velocity fields of the Toner-Tu type [2]. Finally, we compare the predictions on the linear stability from our coarse-grained theory with the results of individual-based simulations of the microscopic model, and discuss the limitations of the hydrodynamic theory and its region of validity.

[1] Romanczuk P. and Schimansky-Geier L., Interface Focus 2, 746-756 (2012)

[2] Grossmann R., Schimansky-Geier L., Romanczuk P., New J Phys 15, 085014, (2013)