Self-organization and phase transition in traffic-flow model of a two-lane roadway
- 7 September 1993
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 26 (17) , L781-L787
- https://doi.org/10.1088/0305-4470/26/17/005
Abstract
A deterministic cellular automaton model is presented to simulate the traffic flow in a two-lane roadway. The model is an extended version of the one-dimensional asymmetric exclusion model to take into account the exchange of cars between the first and the second lanes. Using computer simulation, it is shown that the exchange of cars has an important effect on phase transition between the maximal velocity phase and the high-density phase. The phase diagram of the phase transition is found. Also, a simple mean-field theory is presented to analyse the traffic flow of a two-lane roadway.Keywords
This publication has 9 references indexed in Scilit:
- Exact solution of a 1D asymmetric exclusion model using a matrix formulationJournal of Physics A: General Physics, 1993
- Self-organization and a dynamical transition in traffic-flow modelsPhysical Review A, 1992
- Six-vertex model, roughened surfaces, and an asymmetric spin HamiltonianPhysical Review Letters, 1992
- Finite-size effects and shock fluctuations in the asymmetric simple-exclusion processPhysical Review A, 1992
- Microscopic Structure of Travelling Waves in the Asymmetric Simple Exclusion ProcessThe Annals of Probability, 1991
- Universality classes for deterministic surface growthPhysical Review A, 1988
- Front propagation in certain one-dimensional exclusion modelsJournal of Statistical Physics, 1988
- Ballistic deposition on surfacesPhysical Review A, 1986
- Central Limit Theorems for Infinite Series of Queues and Applications to Simple ExclusionThe Annals of Probability, 1986