2004/10/27 by Ansgar Kirchner, Hubert Kluepfel, Hubert Klüpfel +3 · 219 citations
Engineering · Mathematics · Physics and Astronomy · #Algorithm #Biological system #Cellular automaton #Computer science #Discretization #Dynamics (music) #Engineering #Evacuation and Crowd Dynamics #Field (mathematics) #Flow (mathematics) #Materials science #Mathematical analysis #Mathematics #Mechanics #Pedestrian #Physics #Range (aeronautics) #Statistical physics #Traffic control and management #Urban Design and Spatial Analysis #cond-mat.stat-mech
paper · pdf · doi:10.1088/1742-5468/2004/10/p10011
published in Journal of Statistical Mechanics Theory and Experiment 2004(10), P10011 (Institute of Physics) · 22 pages, 15 figures, to appear in J. Stat. Mech.: Theor. Exp
arxiv created 2004/10/27 · openalex publication_date 2004/10/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study discretization effects in cellular automata models for pedestrian dynamics by reducing the cell size. Then a particle occupies more than one cell which leads to subtle effects in the dynamics, e.g. non-local conflict situations. Results from computer simulations of the floor field model are compared with empirical findings. Furthermore, the influence of increasing the maximal walking speed v max is investigated by increasing the interaction range beyond nearest neighbour interactions. The extension of the model to v max >1 turns out to be a severe challenge which can be solved in different ways. Four major variants are discussed that take into account different dynamical aspects. The variation of v max has a strong influence on the shape of the flow–density relation. We show that walking speeds v max >1 lead to results which are in very good agreement with empirical data.