1998/12/12 by L. Roters, S. Lübeck, S. Lubeck +1
Engineering · Physics and Astronomy · Social Sciences · #Evacuation and Crowd Dynamics #Traffic control and management #Transportation Planning and Optimization #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.59.2672
published as Physical Review E 59, 2672 (1999) · 5 pages, 7 figures, accepted for publication in Physical Review E
arxiv created 1998/12/12 · openalex publication_date 1999/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 upon approaching the transition, long-range correlations of the jams occur.