Fermion-like behavior of elements/agents in their spatial distribution around points of interest

In this paper we analyze the spatial distribution of elements around points of interest. Based on a spatial exclusion principle we model the system by means of a Fermi–Dirac distribution defined by two easily interpretable parameters. By means of image analysis, two real cases are studied and compar...

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Bibliographic Details
Author: Martínez Perdiguero, Jesús
Format: article
Publication Date:2020
Country:España
Institution:Universidad del País Vasco
Repository:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/64686
Online Access:http://hdl.handle.net/10810/64686
Access Level:Open access
Keyword:people behavior
crowd distribution
points of interest
Fermi–Dirac statistics
sociophysics
Description
Summary:In this paper we analyze the spatial distribution of elements around points of interest. Based on a spatial exclusion principle we model the system by means of a Fermi–Dirac distribution defined by two easily interpretable parameters. By means of image analysis, two real cases are studied and compared to the theory: people in an open-air concert and cars in a mall parking-lot. We show that they closely obey the proposed fermion-like statistics.