The nondeterministic Nagel-Schreckenberg traffic model with open boundary conditions

S. Cheybani; J. Kertesz; M. Schreckenberg

doi:10.1103/PhysRevE.63.016108

paper

The nondeterministic Nagel-Schreckenberg traffic model with open boundary conditions

arXiv:cond-mat/0006223 · doi:10.1103/PhysRevE.63.016108

Abstract

We study the phases of the Nagel-Schreckenberg traffic model with open boundary conditions as a function of the randomization probability p > 0 and the maximum velocity $v_{ma x} > 1$ . Due to the existence of "buffer sites" which enhance the free flow region, the behaviour is much richer than that of the related asymmetric exclusion process (ASEP, {v}_{max} = 1 $) . S u c h s i t ese x i s t f or$ {v}_{max} \ge 3 $an d p <$ {p}_{c} $w h er e t h e p ha se d ia g r ami s q u a l i t a t i v e l y s imi l a r t o t h e p = 0 c a se : t h er e i s a f r ee f l o w an d aj ammin g p ha sese p a r a t e d b y a l in eo f f i r s t - or d er p ha se t r an s i t i o n s . F or p >$ {p}_{c} $ana dd i t i o na l ma x im u m c u r r e n tp ha seocc u r s l ik e f or t h e A S E P . T h e d e n s i t y p r o f i l e d ec a y s in t h e ma x im u m c u r r e n tp ha se a l g e b r ai c a l l y w i t han e x p o n e n t$ γ\approx 2/3 $f or a l l$ {v}_{max} \ge 2 $in d i c a t in g t ha tt h ese m o d e l s b e l o n g t o an o t h er u ni v er s a l i t y c l a ss t han t h e A S E P w h er e$ γ= 1/2$.

17 pages, 14 figures; Phys. Rev. E

The nondeterministic Nagel-Schreckenberg traffic model with open boundary conditions

Abstract

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