Jam phases in two-dimensional cellular automata model of traffic flow

Abstract

The jam phases in a two-dimensional cellular automata model of traffic flow are investigated by computer simulations. Two different types of the jam phases are found. The spatially diagonal long-range correlation obeys the power law at the low-density jam configurations. The diagonal correlation exponentially decays at the high-density jam. The exponent of the short-range correlation in the diagonal direction is introduced to define the transition between these two phases. We also discuss the stability of the jams.

13 pages (Figures are available from http://hirose.ai.is.saga-u.ac.jp/document/2Dtr.figs.tar.gz)

References in corpus (4)

• Self Organization and a Dynamical Transition in Traffic Flow Models
• Cellular automaton models and traffic flow
• Phase Transitions in Two-Dimensional Traffic Flow Models
• Dynamical Phase Transition in One Dimensional Traffic Flow Model with Blockage

Cited by in corpus (13)

• Optimizing Traffic Lights in a Cellular Automaton Model for City Traffic
• Characteristics of Vehicular Traffic Flow at a Roundabout
• Car accidents and number of stopped cars due to road blockage on a one-lane highway
• Vehicular traffic flow at a non-signalised intersection
• A Statistical Approach to Vehicular Traffic
• Two-dimensional cellular automaton model of traffic flow with open boundaries
• Anisotropic effect on two-dimensional cellular automaton traffic flow with periodic and open boundaries
• Phase Diagram Of The Biham-Middleton-Levine Traffic Model In Three Dimensions
• Biham-Middleton-Levine Traffic Model With Origin-Destination Trips
• Traffic gridlock on a honeycomb city
• Unravelling the puzzling intermediate states in the Biham-Middleton-Levine traffic mode
• Geometric structure of coexisting phases found in the Biham-Middleton-Levine traffic model
• Structure and dynamics in the low-density phase of a two-dimensional cellular automaton model of traffic flow