Coarse-grained particle model for pedestrian flow using diffusion maps

Publication Year
2014

Type

Journal Article
Abstract

Interacting particle systems constitute the dynamic model of choice in a variety of application areas. A prominent example is pedestrian dynamics, where good design of escape routes for large buildings and public areas can improve evacuation in emergency situations, avoiding exit blocking and the ensuing panic. Here we employ diffusion maps to study the coarse-grained dynamics of two pedestrian crowds trying to pass through a door from opposite sides. These macroscopic variables and the associated smooth embeddings lead to a better description and a clearer understanding of the nature of the transition to oscillatory dynamics. We also compare the results to those obtained through intuitively chosen macroscopic variables.

Journal
Physical Review E
Volume
89
Issue
1
Pages
013304
Date Published
01/2014
ISBN
1539-3755
Short Title
Phys. Rev. E