Nondeterministic Nagel-Schreckenberg traffic model with open boundary conditions

S. Cheybani*, J. Kertész, M. Schreckenberg

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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 vmax>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), vmax=1]. Such sites exist for vmax≫3 and p<pc 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>pc 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 vmax≥2 indicating that these models belong to another universality class than the ASEP where γ=1/2.

Original languageEnglish
Pages (from-to)16108-16101
Number of pages9
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume63
Issue number1 II
DOIs
StatePublished - Dec 2000
Externally publishedYes

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