Stochastic boundary conditions in the deterministic Nagel-Schreckenberg traffic model

Details Stochastic boundary conditions in the deterministic Nagel-Schreckenberg traffic model Stochastic boundary conditions in the deterministic Nagel-Schreckenberg traffic model

2000-06-14

arxiv.org/abs/cond-mat/0006221v3

Physics

Condensed Matter

Statistical Mechanics

29 pages, 26 figures

Scientific paper

10.1103/PhysRevE.63.016107

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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