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Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Jun;81(6 Pt 1):061916. Epub 2010 Jun 16.

Fluctuations and pattern formation in self-propelled particles.

Author information

1
Physics Department, Syracuse University, Syracuse, New York 13244, USA.

Abstract

We consider a coarse-grained description of a collection of self-propelled particles given by hydrodynamic equations for the density and polarization fields. We find that the ordered moving or flocking state of the system is unstable to spatial fluctuations beyond a threshold set by the self-propulsion velocity of the individual units. In this region, the system organizes itself into an inhomogeneous state of well-defined propagating stripes of flocking particles interspersed with low-density disordered regions. Further, we find that even in the regime where the homogeneous flocking state is stable, the system exhibits large fluctuations in both density and orientational order. We study the hydrodynamic equations analytically and numerically to characterize both regimes.

PMID:
20866449
DOI:
10.1103/PhysRevE.81.061916
[Indexed for MEDLINE]

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