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Possible Self-Organised Criticality and Dynamical Clustering of Traffic flow in Open Systems

1999/10/29 by M. E. Larraga, Larraga, M. E., J. A. del Rio +3
Physics and Astronomy · #Classical Physics (physics.class-ph) #FOS: Physical sciences #physics.class-ph

paper · pdf · doi:10.48550/arxiv.physics/9910049

5 pages, 8 figures

arxiv created 1999/10/29 · arxiv updated 2009/12/01

Abstract

We focus in this work on the study of traffic in open systems using a modified version of an existing cellular automaton model. We demonstrate that the open system is rather different from the closed system in its 'choice' of a unique steady-state density and velocity distribution, independently of the initial conditions, reminiscent of self-organised criticality. Quantities of interest such as average densities and velocities of cars, exhibit phase transitions between free flow and the jammed state, as a function of the braking probability R in a way that is very different from closed systems. Velocity correlation functions show that the concept of a dynamical cluster, introduced earlier in the context of granular flow is also relevant for traffic flow models.

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