Intersection of two TASEP traffic lanes with frozen shuffle update

Details Intersection of two TASEP traffic lanes with frozen shuffle update Intersection of two TASEP traffic lanes with frozen shuffle update

2011-07-26

arxiv.org/abs/1107.5166v1

Physics

Condensed Matter

Statistical Mechanics

7 figures

Scientific paper

Motivated by interest in pedestrian traffic we study two lanes (one-dimensional lattices) of length $L$ that intersect at a single site. Each lane is modeled by a TASEP (Totally Asymmetric Exclusion Process). The particles enter and leave lane $\sigma$ (where $\sigma=1,2$) with probabilities $\alpha_\sigma$ and $\beta_\sigma$, respectively. We employ the `frozen shuffle' update introduced in earlier work [C. Appert-Rolland et al, J. Stat. Mech. (2011) P07009], in which the particle positions are updated in a fixed random order. We find analytically that each lane may be in a `free flow' or in a `jammed' state. Hence the phase diagram in the domain $0\leq\alpha_1,\alpha_2\leq 1$ consists of four regions with boundaries depending on $\beta_1$ and $\beta_2$. The regions meet in a single point on the diagonal of the domain. Our analytical predictions for the phase boundaries as well as for the currents and densities in each phase are confirmed by Monte Carlo simulations.

Affiliated with

Also associated with

No associations

Rating

Intersection of two TASEP traffic lanes with frozen shuffle update 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 Intersection of two TASEP traffic lanes with frozen shuffle update, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Intersection of two TASEP traffic lanes with frozen shuffle update will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-93382