Phase Transitions In Two-Dimensional Traffic Flow Models

Details Phase Transitions In Two-Dimensional Traffic Flow Models Phase Transitions In Two-Dimensional Traffic Flow Models

1993-05-19

arxiv.org/abs/patt-sol/9305008v1

Nonlinear Sciences

Pattern Formation and Solitons

RevTeX 3.0 file. Figures available upon request to e-address cuesta@ing.uc3m.es (or 'dopico' or 'molera' or 'anxo', same node)

Scientific paper

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

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