## Abstract (may include machine translation)

We study the phases of the Nagel-Schreckenberg traffic model with open boundary conditions as a function of the randomization probabilities p>0 and the maximum velocity v_{max}>1. Due to the existence of "buffer sites" which enhance the free-flow region, the behavior is much richer than that of the related, parallel updated asymmetric exclusion process [(ASEP), v_{max}=1]. Such sites exist for v_{max}≫3 and p<p_{c} where the phase diagram is qualitatively similar to the p=0 case: there is a free flow and a jamming phase separated by a line of first-order transitions. For p>p_{c} an additional maximum current phase separated by second-order transitions occurs like for the ASEP. The density profile decays in the maximum current phase algebraically with an exponent γ≈2/3 for all v_{max}≥2 indicating that these models belong to another universality class than the ASEP where γ=1/2.

Original language | English |
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Pages (from-to) | 1-9 |

Number of pages | 9 |

Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 63 |

Issue number | 1 II |

DOIs | |

State | Published - Jan 2001 |

Externally published | Yes |