Density Waves and Jamming Transition in Cellular Automaton Models for Traffic Flow

Abstract

In this paper computer simulation results of higher order density correlation for cellular automaton models of traffic flow are presented. The examinations show the jamming transition as a function of both the density and the magnitude of noise and allow to calculate the velocity of upstream moving jams. This velocity is independent of the density and decreases with growing noise. The point of maximum flow in the fundamental diagram determines its value. For that it is not necessary to define explicitly jams in the language of the selected model, but only based upon the well defined characteristic density profiles along the line.

8 pages, 8 eps-figures included changes according to the referee report (text and figures)

References in corpus (7)

• Metastable States in Cellular Automata for Traffic Flow
• Fundamentals of Traffic Flow
• Traffic flow models with 'slow-to-start' rules
• Jamming transition in a cellular automaton model for traffic flow
• On Cellular Automata Models of Single Lane Traffic
• Density Fluctuations and Phase Transition in the Nagel-Schreckenberg Traffic Flow Model
• Critical behavior of a traffic flow model

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• Failure of classical traffic flow theories: Stochastic highway capacity and automatic driving
• Localized defects in a cellular automaton model for traffic flow with phase separation
• Short-range and long-range correlations in driven dense colloidal mixtures in narrow pores
• Evidence of Non-Equilibrium Critical Phenomena in a Simple Model of Traffic