Crossing pedestrian traffic flows,diagonal stripe pattern, and chevron effect

Abstract

We study two perpendicular intersecting flows of pedestrians. The latter are represented either by moving hard core particles of two types, eastbound ($\symbp$) and northbound ($\symbm$), or by two density fields, $\rhop_t(\brr)$ and $\rhom_t(\brr)$. Each flow takes place on a lattice strip of width $M$ so that the intersection is an $M\times M$ square. We investigate the spontaneous formation, observed experimentally and in simulations, of a diagonal pattern of stripes in which alternatingly one of the two particle types dominates. By a linear stability analysis of the field equations we show how this pattern formation comes about. We focus on the observation, reported recently, that the striped pattern actually consists of chevrons rather than straight lines. We demonstrate that this `chevron effect' occurs both in particle simulations with various different update schemes and in field simulations. We quantify the effect in terms of the chevron angle $\Delta {\theta }_0$ and determine its dependency on the parameters governing the boundary conditions.

36 pages, 22 figures

References in corpus (3)

• Traffic Instabilities in Self-Organized Pedestrian Crowds
• Asymmetric simple exclusion process describing conflicting traffic flows
• Wake-mediated interaction between driven particles crossing a perpendicular flow

Cited by in corpus (9)

• Analysis of emergent patterns in crossing flows of pedestrians reveals an invariant of `stripe' formation in human data
• Emergent behaviors of the Cucker-Smale ensemble under attractive-repulsive couplings and Rayleigh frictions
• Wake-mediated interaction between driven particles crossing a perpendicular flow
• Flow Characteristics in a Crowded Transport Model
• Exclusion Process on two intersected lanes with constrained resources: Symmetry breaking and shock dynamics
• Symmetry restoration by pricing in a duopoly of perishable goods
• Exclusion in Junction Geometries
• Stripe formation instability in crossing traffic flows
• Unravelling the puzzling intermediate states in the Biham-Middleton-Levine traffic mode