Wake-mediated interaction between driven particles crossing a perpendicular flow

Abstract

Diagonal or chevron patterns are known to spontaneously emerge at the intersection of two perpendicular flows of self-propelled particles, e.g. pedestrians. The instability responsible for this pattern formation has been studied in previous work in the context of a mean-field approach. Here we investigate the microscopic mechanism yielding to this pattern. We present a lattice model study of the wake created by a particle crossing a perpendicular flow and show how this wake can localize other particles traveling in the same direction as a result of an effective interaction mediated by the perpendicular flow. The use of a semi-deterministic model allows us to characterize analytically the effective interaction between two particles.

arXiv comment23 pages, 8 figures. To appear in J. Stat. Mech

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Cited by in corpus (4)

• Crossing pedestrian traffic flows,diagonal stripe pattern, and chevron effect
• Analysis of emergent patterns in crossing flows of pedestrians reveals an invariant of `stripe' formation in human data
• Attraction/repulsion switching of non-equilibrium depletion interaction caused by blockade effect in gas of interacting particles. II
• Stripe formation instability in crossing traffic flows