Critical behavior of a cellular automaton highway traffic model

Details Critical behavior of a cellular automaton highway traffic model Critical behavior of a cellular automaton highway traffic model

1999-11-03

arxiv.org/abs/cond-mat/9911039v2

J. Phys. A: Math. Gen. 33:3407-3415 (2000)

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 12 figures

Scientific paper

10.1088/0305-4470/33/17/301

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 $\beta$, $\gamma$ and $\delta$ 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 $|\rho-\rho_c|$ and p in the vicinity of the phase transition point.

Affiliated with

Also associated with

No associations

Rating

Critical behavior of a cellular automaton highway traffic model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Critical behavior of a cellular automaton highway traffic model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical behavior of a cellular automaton highway traffic model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-554030