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Zbl 1233.90099
Nagatani, Takashi
Freezing transition in bi-directional CA model for facing pedestrian traffic. (English)
[J] Phys. Lett., A 373, No. 33, 2917-2921 (2009). ISSN 0375-9601

Summary: We present a bi-directional cellular automaton (CA) model for facing traffic of pedestrians on a wide passage. The excluded-volume effect and bi-directionality of facing traffic are taken into account. The CA model is not stochastic but deterministic. We study the jamming and freezing transitions when pedestrian density increases. We show that the dynamical phase transitions occur at three stages with increasing density. There exist four traffic states: the free traffic, jammed traffic 1, jammed traffic 2, and frozen state. At the frozen state, all pedestrians stop by preventing from going ahead each other. At three transitions, the pedestrian flow changes from the free traffic through the jammed traffic 1 and jammed traffic 2, to the frozen state.

MSC 2000:: *90B20 Highway traffic
37B15 Cellular automata

Keywords: pedestrian flow; facing traffic; traffic flow; phase transition; cellular automaton; freezing

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