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

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

1998-08-14

arxiv.org/abs/cond-mat/9808152v4

J. Phys. A. {\bf 32}, p. 6517 (1999)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1088/0305-4470/32/37/303

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.

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