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Stochastic boundary conditions in the deterministic Nagel-Schreckenberg traffic model

S. Cheybani·J. Kertesz·M. Schreckenberg
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Abstract

We consider open systems where cars move according to the deterministic Nagel-Schreckenberg rules and with maximum velocity ${v}_{max} > 1$, what is an extension of the Asymmetric Exclusion Process (ASEP). It turns out that the behaviour of the system is dominated by two features: a) the competition between the left and the right boundary b) the development of so-called "buffers" due to the hindrance an injected car feels from the front car at the beginning of the system. As a consequence, there is a first-order phase transition between the free flow and the congested phase accompanied by the collapse of the buffers and the phase diagram essentially differs from that of ${v}_{max} = 1$ (ASEP).

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S. Cheybani, J. Kertesz, M. Schreckenberg. 2000-08-16. Stochastic boundary conditions in the deterministic Nagel-Schreckenberg traffic model. https://doi.org/10.1103/physreve.63.016107

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