English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

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

Intersection of two TASEP traffic lanes with frozen shuffle update