Dynamics and stochastics of swarms of self-propelled Brownian particles

Werner Ebeling; Udo Erdmann

doi:10.1117/12.501844

30 April 2003 Dynamics and stochastics of swarms of self-propelled Brownian particles

Werner Ebeling, Udo Erdmann

Proceedings Volume 5110, Fluctuations and Noise in Biological, Biophysical, and Biomedical Systems; (2003) https://doi.org/10.1117/12.501844
Event: SPIE's First International Symposium on Fluctuations and Noise, 2003, Santa Fe, New Mexico, United States

Abstract

We use the model of interacting self-propelled particles as a rough model for the collective motions of cells and organisms. First we study self-propelled motion with linear attracting interactions. This way we develop the dynamics of swarms with self-confinement by global coupling in coordinate- and velocity-space. Further we study the model of Morse-type attracting forces and global velocity-coupling. We begin with pairs N=2; the attractors and distribution functions are discussed, then the case N>2 is discussed. Simulations for several dynamical modes of swarms of active Brownian particles are presented. In particular we study rotations, drift, fluctuations of shape and cluster formation. Finally we study the symmetry-breaking effects of hydrodynamic interactions of Oseen-type.

Citation Download Citation

Werner Ebeling and Udo Erdmann "Dynamics and stochastics of swarms of self-propelled Brownian particles", Proc. SPIE 5110, Fluctuations and Noise in Biological, Biophysical, and Biomedical Systems, (30 April 2003); https://doi.org/10.1117/12.501844

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