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Onset of Synchronization in Complex Networks of Noisy Oscillators
Bernard Sonnenschein, Lutz Schimansky-Geier
We study networks of noisy phase oscillators whose nodes are characterized by a random degree counting the number of its connections. Both these degrees and the natural frequencies…
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…
Rectification of motion in nonlinear media with asymmetric random drive
Gökan Cebiroglu, Christian Weber, Lutz Schimansky-Geier
We consider moving particles in media with nonlinear friction and drive them by an asymmetric dichotomic Markov process. Due to different energy dissipations, during the forward an…
Active motion assisted by correlated stochastic torques
Christian Weber, Paul K. Radtke, Lutz Schimansky-Geier +1
The stochastic dynamics of an active particle undergoing a constant speed and additionally driven by an overall fluctuating torque is investigated. The random torque forces are exp…
Entropic particle transport: higher order corrections to the Fick-Jacobs diffusion equation
Steffen Martens, Gerhard Schmid, Lutz Schimansky-Geier +1
Transport of point-size Brownian particles under the influence of a constant and uniform force field through a three-dimensional channel with smoothly varying periodic cross-sectio…