Abstract

We introduce two simple two-dimensional lattice models to study traffic flow in cities. We have
\nfound that a few basic elements give rise to the characteristic phase diagram of a first-order phase
\ntransition from a freely moving phase to a jammed state, with a critical point. The jammed phase
\npresents new transitions corresponding to structural transformations of the jam. We discuss their
\nrelevance in the infinite-size limit.

Keywords

Phase diagramPhase transitionStatistical physicsLattice (music)Simple (philosophy)Flow (mathematics)Critical point (mathematics)Phase (matter)PhysicsComputer scienceMathematicsMechanicsGeometryCondensed matter physicsQuantum mechanics

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Publication Info

Year
1993
Type
article
Volume
48
Issue
6
Pages
R4175-R4178
Citations
173
Access
Closed

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José A. Cuesta, Froilán C. Martínez, Juan M. Molera et al. (1993). Phase transitions in two-dimensional traffic-flow models. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics , 48 (6) , R4175-R4178. https://doi.org/10.1103/physreve.48.r4175

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DOI
10.1103/physreve.48.r4175