Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-10-08
Physical Review E (Rapid Communications) vol.59, R1311-R1314 (1999)
Physics
Condensed Matter
Statistical Mechanics
4 pages, REVTEX, 4 eps figures included
Scientific paper
10.1103/PhysRevE.59.R1311
We propose a cellular automata model for vehicular traffic in cities by combining (and appropriately modifying) ideas borrowed from the Biham-Middleton-Levine (BML) model of city traffic and the Nagel-Schreckenberg (NS) model of highway traffic. We demonstrate a phase transition from the "free-flowing" dynamical phase to the completely "jammed" phase at a vehicle density which depends on the time periods of the synchronized signals and the separation between them. The intrinsic stochasticity of the dynamics, which triggers the onset of jamming, is similar to that in the NS model, while the phenomenon of complete jamming through self-organization as well as the final jammed configurations are similar to those in the BML model. Using our new model, we have made an investigation of the time-dependence of the average speeds of the cars in the "free-flowing" phase as well as the dependence of flux and jamming on the time period of the signals.
Chowdhury Debashish
Schadschneider Andreas
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