Coarse-grained particle model for pedestrian flow using diffusion maps

Christian Marschler, Jens Starke, Ping Liu, Ioannis G. Kevrekidis

Research output: Contribution to journalJournal articleResearchpeer-review


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.
Original languageEnglish
Article number013304
JournalPhysical Review E
Issue number1
Number of pages11
Publication statusPublished - 2014

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