1.1k citations · 2.2k across the 28 of their papers we have counts for
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Harmonic oscillator under Levy noise: Unexpected properties in the phase space
Igor M. Sokolov, Bartlomiej Dybiec, Werner Ebelling
A harmonic oscillator under influence of the noise is a basic model of various physical phenomena. Under Gaussian white noise the position and velocity of the oscillator are indepe…
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…
Temperature-dependent quantum pair potentials and their application to dense partially ionized hydrogen plasmas
A. V. Filinov, V. O. Golubnychiy, M. Bonitz +2
Extending our previous work \cite{filinov-etal.jpa03ik} we present a detailed discussion of accuracy and practical applications of finite-temperature pseudopotentials for two-compo…
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…