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Abstract: In this paper we introduce a simple Monte Carlo method for simulating thedynamics of a crowd. Within our model a collection of hard-disk agents issubjected to a series of two-stage steps, implying i the displacement of onespecific agent followed by ii a rearrangement of the rest of the groupthrough a Monte Carlo dynamics. The rules for the combined steps are determinedby the specific setting of the granular flow, so that our scheme should beeasily adapted to describe crowd dynamics issues of many sorts, from stampedesin panic scenarios to organized flow around obstacles or through bottlenecks.We validate our scheme by computing the serving times statistics of a group ofagents crowding to be served around a desk. In the case of a size homogeneouscrowd, we recover intuitive results prompted by physical sense. However, as afurther illustration of our theoretical framework, we show that heterogeneoussystems display a less obvious behavior, as smaller agents feature shorterserving times. Finally, we analyze our results in the light of known propertiesof non-equilibrium hard-disk fluids and discuss general implications of ourmodel.

Autor: Francesco Piazza

Fuente: https://arxiv.org/

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