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Authors: Robert Großmann, Pawel Romanczuk, Lutz Schimansky-Geier
We introduce a model of active Brownian particles with velocity-alignment in two spatial dimensions. The individual dynamics is based on the so called Schienbein-Gruler model. We derive a mean-field theory of collective motion directly from the microscopic Langevin description via a nonlinear Fokker-Planck equation and a moment expension of the corresponding probability density function. We discuss the impact of different fluctuation types of the onset of collective motion. |
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