# Self-organization and a dynamical transition in traffic-flow models.

@article{Biham1992SelforganizationAA, title={Self-organization and a dynamical transition in traffic-flow models.}, author={Biham and Middleton and Levine}, journal={Physical review. A, Atomic, molecular, and optical physics}, year={1992}, volume={46 10}, pages={ R6124-R6127 } }

A simple model that describes traffic flow in two dimensions is studied. A sharp jamming transition is found that separates between the low-density dynamical phase in which all cars move at maximal speed and the high-density jammed phase in which they are all stopped. Self-organization effects in both phases are studied and discussed.

## 617 Citations

SELF-ORGANIZATION IN A TWO-DIMENSIONAL CELLULAR AUTOMATON MODEL OF TRAFFIC FLOW(Session IV : Structures & Patterns, The 1st Tohwa University International Meeting on Statistical Physics Theories, Experiments and Computer Simulations)

- Computer Science
- 1995

The jam phases in a two-dimensional cellular automaton model of traffic flow are investigated by computer simulations and show fractality and self-organization and randomness.

Distribution of Jam Clusters in a Two-Dimensional Cellular Automaton Traffic Flow Model with Open Boundaries

- Physics
- 1997

The distribution of jam clusters in a two-dimensional cellular automaton model of traffic flow with open boundaries is investigated by computer simulation. The size distribution of jam clusters obeys…

Self-organization and phase transition in traffic-flow model of a two-lane roadway

- Physics
- 1993

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…

COMPLEXITY IN A CRITICAL TRAFFIC FLOW

- Computer Science
- 2000

The traffic flow near the jamming transition is numerically studied by computer simulations of a coupled-map model and shows clear double-valued behavior near the critical concentration.

Local cluster effect in different traffic flow models

- Computer Science
- 1998

It is shown that traffic flow models which are mathematically different, belong to the same universality class of traffic flow model in the sense of their possibility to reproduce properties of real traffic jams, if they show the complete properties of the local cluster effect in traffic flow.

Anisotropic Effect on Jamming Transition in Traffic-Flow Model

- Physics
- 1993

We investigate the anisotropic effect of densities of cars on the dynamical jamming transition and self-organization in the cellular automaton model of traffic flow. By the use of computer…

Cellular automation models and traffic flow

- Mathematics, Physics
- 1993

A cellular automaton model for the description of traffic flow is investigated. It generalizes asymmetric exclusion models which have attracted a lot of interest in the past. The authors calculate…

BACKBONES OF TRAFFIC JAMS

- Physics
- 1996

We study the jam phase of the deterministic traffic model in two dimensions. Within the jam phase, there is a phase transition, from a self-organized jam (formed by initial synchronization followed…

Effect of Reduced Randomness on Jam in a Two-Dimensional Traffic Model

- Physics
- 2013

Traffic flow is simulated in a two-dimensional cellular automaton model with an additional regularity on the initial placement of cars: the equal number of cars in rows and columns of the square…

Phase Transition of Three-Directional Traffic-Flow in 2D Network

- Physics
- 2003

A traffic-flow model with objects moving towards three directions is investigated by numerical simulations and the mean-field approach. This traffic-flow model includes four kinds of objects in…

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