162 citations · 222 across the 7 of their papers we have counts for
10 papers
Noise-Induced Transition from Translational to Rotational Motion of Swarms
Udo Erdmann, Werner Ebeling, Alexander S. Mikhailov
We consider a model of active Brownian agents interacting via a harmonic attractive potential in a two-dimensional system in the presence of noise. By numerical simulations, we sho…
Modelling Selforganization and Innovation Processes in Networks
Ingrid Hartmann-Sonntag, Andrea Scharnhorst, Werner Ebeling
In this paper we develop a theory to describe innovation processes in a network of interacting units. We introduce a stochastic picture that allows for the clarification of the rol…
Active Brownian Particle and Random Walk Theories of the Motions of Zooplankton: Application to Experiments with Swarms of Daphnia
Udo Erdmann, Werner Ebeling, Lutz Schimansky-Geier +2
Active Brownian Particles are self-propelled particles that move in a dissipative medium subject to random forces, or noise . Additionally, they can be confined by an external fiel…
Nonequilibrium statistical mechanics of swarms of driven particles
Werner Ebeling, Udo Erdmann
As a rough model for the collective motions of cells and organisms we develop here the statistical mechanics of swarms of self-propelled particles. Our approach is closely related…
Self-Organization, Active Brownian Dynamics, and Biological Applications
Werner Ebeling, Frank Schweitzer
After summarizing basic features of self-organization such as entropy export, feedbacks and nonlinear dynamics, we discuss several examples in biology. The main part of the paper i…
Nonlinear Dynamics of Active Brownian Particles
Werner Ebeling
We consider finite systems of interacting Brownian particles including active friction in the framework of nonlinear dynamics and statistical/stochastic theory. First we study the…