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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…
Zigzag transitions and nonequilibrium pattern formation in colloidal chains
Arthur V. Straube, Roel P. A. Dullens, Lutz Schimansky-Geier +1
Paramagnetic colloidal particles that are optically trapped in a linear array can form a zigzag pattern when an external magnetic field induces repulsive interparticle interactions…
Approximate solution to the stochastic Kuramoto model
Bernard Sonnenschein, Lutz Schimansky-Geier
We study Kuramoto phase oscillators with temporal fluctuations in the frequencies. The infinite-dimensional system can be reduced in a Gaussian approximation to two first-order dif…
Weighted-ensemble Brownian dynamics simulation: Sampling of rare events in non-equilibrium systems
Justus A. Kromer, Lutz Schimansky-Geier, Raul Toral
We provide an algorithm based on weighted-ensemble (WE) methods, to accurately sample systems at steady state. Applying our method to different one- and two-dimensional models, we…
Self-propelled particles with selective attraction-repulsion interaction - From microscopic dynamics to coarse-grained theories
Robert Grossmann, Lutz Schimansky-Geier, Pawel Romanczuk
In this work we derive and analyze coarse-grained descriptions of self-propelled particles with selective attraction-repulsion interaction, where individuals may respond differentl…