Stochastic boundary conditions in the deterministic Nagel-Schreckenberg traffic model

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).

29 pages, 26 figures

References in corpus (1)

• Statistical Physics of Vehicular Traffic and Some Related Systems

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