Modelling of self-driven particles: foraging ants and pedestrians
arXiv:cond-mat/0702584 · doi:10.1016/j.physa.2006.05.016
Abstract
Models for the behavior of ants and pedestrians are studied in an unified way in this paper. Each ant follows pheromone put by preceding ants, hence creating a trail on the ground, while pedestrians also try to follow others in a crowd for efficient and safe walking. These following behaviors are incorporated in our stochastic models by using only local update rules for computational efficiency. It is demonstrated that the ant trail model shows an unusual non-monotonic dependence of the average speed of the ants on their density, which can be well analyzed by the zero-range process. We also show that this anomalous behavior is clearly observed in an experiment of multiple robots. Next, the relation between the ant trail model and the floor field model for studying evacuation dynamics of pedestrians is discussed. The latter is regarded as a two-dimensional generalization of the ant trail model, where the pheromone is replaced by footprints.
arXiv comment15 pages, 11 Postscript figures, uses elsart.cls
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- Cluster dynamics in macroscopic photoactive particles
- Building exploration with leeches Hirudo verbana
- Modeling of pedestrians
- Phototactic cyanobacteria as an active matter system
- Saddle-Node Bifurcation to Jammed State for Quasi-One-Dimensional Counter Chemotactic Flow