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arXiv · 1209.1529

Diagonal patterns and chevron effect in intersecting traffic flows

Julien Cividini·Cecile Appert-Rolland·Hendrik-Jan Hilhorst
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Abstract

We study a lattice model of two perpendicular intersecting flows of pedestrians represented by hard core particles of two types, eastbound (`$\pE$') and northbound (`$\pN$'). Each flow takes place on a strip of width $M$ so that the intersection is an $M\times M$ square lattice. In experiment and simulation there occurs on this square spontaneous formation of a diagonal pattern of alternating $\pE$ and $\pN$ particles. We show that this pattern formation may be understood in terms of a linear instability of the corresponding mean field equations. A refined investigation reveals that the pattern actually consists of chevrons rather than straight diagonals. We explain this effect as the consequence of the existence of a nonlinear mode sustained by the interaction between the two types of particles.

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Julien Cividini, Cecile Appert-Rolland, Hendrik-Jan Hilhorst. 2013-09-02. Diagonal patterns and chevron effect in intersecting traffic flows. https://doi.org/10.1209/0295-5075%2F102%2F20002

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