2005/07/22 by K. Fourrate, M. Loulidi · 18 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Acceleration #Algorithm #Cellular Automata and Applications #Cellular automaton #Classical mechanics #Computer science #Condensed matter physics #Constant (computer programming) #Criticality #Density wave theory #Flow (mathematics) #Mathematics #Mechanics #Microscopic traffic flow model #Physics #Self-organized criticality #Statistical physics #Statistics #Stochastic cellular automaton #Stochastic modelling #Stochastic processes and statistical mechanics #Traffic control and management #Traffic flow (computer networking) #Traffic generation model #physics.soc-ph
paper · pdf · doi:10.1140/epjb/e2006-00044-x
published in The European Physical Journal B 49(2), 239-246 (Springer Science+Business Media) · 23 pages, 14 figures
arxiv created 2005/07/22 · openalex publication_date 2006/01/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We suggest a disordered traffic flow model that captures many features of traffic flow. It is an extension of the Nagel-Schreckenberg (NaSch) stochastic cellular automata for single line vehicular traffic model. It incorporates random acceleration and deceleration terms that may be greater than one unit. Our model leads under its intrinsic dynamics, for high values of braking probability p, to a constant flow at intermediate densities without introducing any spatial inhomogeneities. For a system of fast drivers p→ 0, the model exhibits a density wave behavior that was observed in car following models with optimal velocity. The gap of the disordered model we present exhibits, for high values of p and random deceleration, at a critical density, a power law distribution which is a hall mark of a self organized criticality phenomena.