Metastable States in Cellular Automata for Traffic Flow

Details Metastable States in Cellular Automata for Traffic Flow Metastable States in Cellular Automata for Traffic Flow

1998-04-16

arxiv.org/abs/cond-mat/9804170v1

Physics

Condensed Matter

Statistical Mechanics

15 pages, 8 ps-figures included; accepted for publication in EPJ B

Scientific paper

10.1007/s100510050504

Measurements on real traffic have revealed the existence of metastable states with very high flow. Such states have not been observed in the Nagel-Schreckenberg (NaSch) model which is the basic cellular automaton for the description of traffic. Here we propose a simple generalization of the NaSch model by introducing a velocity-dependent randomization. We investigate a special case which belongs to the so-called slow-to-start rules. It is shown that this model exhibits metastable states, thus sheding some light on the prerequisites for the occurance of hysteresis effects in the flow-density relation.

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