A two-dimensional CA model for traffic flow with car origin and destination

Junji In-nami and Hiroyasu Toyoki

Physica A: Statistical Mechanics and its Applications, 2007, vol. 378, issue 2, 485-497

Abstract: Dynamic phase transitions in a two-dimensional traffic flow model defined on a decorated square-lattice are studied numerically. The square-lattice point and the decorated site denote intersections and roads, respectively. In the present model, a car has a finite deterministic path between the origin and the destination, which is assigned to the car from the beginning. In this new model, we found a new phase between the free-flow phase and the frozen-jam phase that is absent from previous models. The new model is characterized by the persistence of a macroscopic cluster. Furthermore, the behavior in this macroscopic cluster phase is classified into three regions characterized by the shape of the cluster. The boundary of the three regions is phenomenologically estimated. When the trip length is short and the car density is high, both ends of the belt-like cluster connect to each other through the periodic boundary with some probability. This type of cluster is classified topologically as a string on a two-dimensional torus.

Keywords: Traffic flow; Cellular automata; Phase transitions; Formation of congestions (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:378:y:2007:i:2:p:485-497

DOI: 10.1016/j.physa.2006.11.091

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