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Proceedings Paper

Dynamics and stochastics of swarms of self-propelled Brownian particles
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Paper 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.

Paper Details

Date Published: 30 April 2003
PDF: 11 pages
Proc. SPIE 5110, Fluctuations and Noise in Biological, Biophysical, and Biomedical Systems, (30 April 2003); doi: 10.1117/12.501844
Show Author Affiliations
Werner Ebeling, Humboldt-Univ. zu Berlin (Germany)
Udo Erdmann, Humboldt-Univ. zu Berlin (Germany)

Published in SPIE Proceedings Vol. 5110:
Fluctuations and Noise in Biological, Biophysical, and Biomedical Systems
Sergey M. Bezrukov; Hans Frauenfelder; Frank Moss, Editor(s)

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