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arXiv · cond-mat/9911039

Critical behavior of a cellular automaton highway traffic model

N. Boccara·H. Fukś
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Abstract

We derive the critical behavior of a CA traffic flow model using an order parameter breaking the symmetry of the jam-free phase. Random braking appears to be the symmetry-breaking field conjugate to the order parameter. For $v_{\max}=2$, we determine the values of the critical exponents $β$, $γ$ and $δ$ using an order-3 cluster approximation and computer simulations. These critical exponents satisfy a scaling relation, which can be derived assuming that the order parameter is a generalized homogeneous function of $|ρ-ρ_c|$ and p in the vicinity of the phase transition point.

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N. Boccara, H. Fukś. 2000-05-17. Critical behavior of a cellular automaton highway traffic model. https://doi.org/10.1088/0305-4470%2F33%2F17%2F301

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