Crowd as a Fluid: The Physics of a Crush ✛

Original: "Exploring Dense Crowd Dynamics: State of the Art and Emerging Paradigms"
arXiv:2505.05826 · 2025-05-09 · CC BY 4.0 · 1 min
Physicists model crowds as a fluid, predicting dangerous compressions.

In tight spaces, a crowd behaves like water in a pipe: the more people, the higher the pressure. At the same time, entropy — a measure of chaos — increases, and a single push triggers a compression wave that, like gravitational waves, travels instantly through the crowd, knocking people off their feet. Previously, crowd movement was modeled as an ideal gas, ignoring physical contact. Now scientists account for compressive forces: at a density of more than 6 people per square meter, the lungs can't expand, and a person suffocates while standing upright. Such analysis helps architects design safer spaces. Surprisingly, a silent crowd is often more dangerous than a screaming one — silence hinders awareness of the threat until it's too late.

The highest recorded density is 9 people per square meter: the chest is compressed so much that breathing is impossible.

Asimov's psychohistory in real time.

Scientists
Daniel BernoulliLeonhard EulerArchimedesLudwig BoltzmannJohn von NeumannJosiah Willard Gibbs
Concepts
density epidemic complex system dynamics complex systems emergent complexity modeling patterned fluid dynamics Dynamical Systems survey epidemic model probabilistic model stochastic dynamical system collective behavior hydrodynamics outbreak drag fluid flow statistics stimulus microbial collective motion interaction