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arXiv · 1008.1749

Collective motion of active Brownian particles in one dimension

Pawel Romanczuk·Udo Erdmann
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Abstract

We analyze a model of active Brownian particles with non-linear friction and velocity coupling in one spatial dimension. The model exhibits two modes of motion observed in biological swarms: A disordered phase with vanishing mean velocity and an ordered phase with finite mean velocity. Starting from the microscopic Langevin equations, we derive mean-field equations of the collective dynamics. We identify the fixed points of the mean-field equations corresponding to the two modes and analyze their stability with respect to the model parameters. Finally, we compare our analytical findings with numerical simulations of the microscopic model.

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Pawel Romanczuk, Udo Erdmann. 2010-08-10. Collective motion of active Brownian particles in one dimension. https://doi.org/10.1140/epjst%2Fe2010-01277-0

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