Critical behavior of a traffic flow model

Details Critical behavior of a traffic flow model Critical behavior of a traffic flow model

1998-12-12

arxiv.org/abs/cond-mat/9812212v1

Physical Review E 59, 2672 (1999)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 7 figures, accepted for publication in Physical Review E

Scientific paper

10.1103/PhysRevE.59.2672

The Nagel-Schreckenberg traffic flow model shows a transition from a free flow regime to a jammed regime for increasing car density. The measurement of the dynamical structure factor offers the chance to observe the evolution of jams without the necessity to define a car to be jammed or not. Above the jamming transition the dynamical structure factor exhibits for a given k-value two maxima corresponding to the separation of the system into the free flow phase and jammed phase. We obtain from a finite-size scaling analysis of the smallest jam mode that approaching the transition long range correlations of the jams occur.

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