Volume 80, Number 6, December 2007
|Number of page(s)||6|
|Published online||08 November 2007|
Asymmetric simple exclusion process describing conflicting traffic flows
Department of Physics, Zanjan University - P.O. Box 45196-313, Zanjan, Iran
2 Computational Physical Sciences Research Laboratory, Department of Nano-Sciences, Institute for Studies in Theoretical Physics and Mathematics (IPM) - P.O. Box 19395-5531, Tehran, Iran
Accepted: 12 October 2007
We use the asymmetric simple exclusion process for describing the vehicular traffic flow at the intersection of two streets. No traffic lights control the traffic flow. The cars approaching to the intersection point yield to each other to avoid collision. This yielding dynamics is modelled by implementing the exclusion process to the intersection point of the two streets. Closed boundary condition is applied to the streets. We utilize both mean-field approach and extensive simulations to find the model characteristics. In particular, we obtain the fundamental diagrams and show that the effect of interaction between chains can be regarded as a dynamic impurity at the intersection point.
PACS: 05.60.-k – Transport processes / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© EPLA, 2007
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.