A two-dimensional CA model for traffic flow with car origin and destination
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.
Year of publication: |
2007
|
---|---|
Authors: | In-nami, Junji ; Toyoki, Hiroyasu |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 378.2007, 2, p. 485-497
|
Publisher: |
Elsevier |
Subject: | Traffic flow | Cellular automata | Phase transitions | Formation of congestions |
Saved in:
Online Resource
Saved in favorites
Similar items by subject
-
Effect of the lane reduction in the cellular automata models applied to the two-lane traffic
Nassab, K., (2006)
-
Numerical analysis of a time-headway bus route model
Hill, Scott A., (2003)
-
Non-monotonic spontaneous magnetization in a Sznajd-like consensus model
Sabatelli, Lorenzo, (2004)
- More ...