Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2010-01-15
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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