Fluctuation-induced collective motion: A single-particle density analysis

Details Fluctuation-induced collective motion: A single-particle density analysis Fluctuation-induced collective motion: A single-particle density analysis

2010-01-15

arxiv.org/abs/1001.2684v4

Physical Review E 81, 031125 (2010)

Physics

Condensed Matter

Soft Condensed Matter

To appear in Physical Review E.

Scientific paper

10.1103/PhysRevE.81.031125

In a system of noisy self-propelled particles with interactions that favor directional alignment, collective motion will appear if the density of particles increases beyond a certain threshold. In this paper, we argue that such a threshold may depend also on the profiles of the perturbation in the particle directions. Specifically, we perform mean-field, linear stability, perturbative and numerical analyses on an approximated form of the Fokker-Planck equation describing the system. We find that if an angular perturbation to an initially homogeneous system is large in magnitude and highly localized in space, it will be amplified and thus serves as an indication of the onset of collective motion. Our results also demonstrate that high particle speed promotes collective motion.

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