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Active Brownian agents with concentration-dependent chemotactic sensitivity
Marcel Meyer, Lutz Schimansky-Geier, Pawel Romanczuk
We study a biologically motivated model of overdamped, autochemotactic Brownian agents with concentration-dependent chemotactic sensitivity. The agents in our model move stochastic…
Active Brownian particles with velocity-alignment and active fluctuations
Robert Grossmann, Lutz Schimansky-Geier, Pawel Romanczuk
We consider a model of active Brownian particles with velocity-alignment in two spatial dimensions with passive and active fluctuations. Hereby, active fluctuations refers to purel…
Mean-field theory of collective motion due to velocity alignment
Pawel Romanczuk, Lutz Schimansky-Geier
We introduce a system of self-propelled agents (active Brownian particles) with velocity alignment in two spatial dimensions and derive a mean-field theory from the microscopic dyn…
Collective motion of active Brownian particles in one dimension
Pawel Romanczuk, Udo Erdmann
We analyze a model of active Brownian particles with non-linear friction and velocity coupling in one spatial dimension. The model exhibits two modes of motion observed in biologic…
Collective Motion due to escape and pursuit response
Pawel Romanczuk, Iain D. Couzin, Lutz Schimansky-Geier
Recent studies suggest that non-cooperative behavior such as cannibalism may also be a driving mechanism of collective motion. Motivated by these novel results we introduce a simpl…