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

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  • Martinez-Perdiguero, Josu

Abstract

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.

Suggested Citation

  • Martinez-Perdiguero, Josu, 2020. "Fermion-like behavior of elements/agents in their spatial distribution around points of interest," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
    • Handle: RePEc:eee:phsmap:v:557:y:2020:i:c:s0378437120304684
    DOI: 10.1016/j.physa.2020.124905
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    References listed on IDEAS

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    1. de Area Leão Pereira, Eder Johnson & da Silva, Marcus Fernandes & Pereira, H.B.B., 2017. "Econophysics: Past and present," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 251-261.
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    3. Wang, Peng & Ma, Qiang, 2017. "From heavy-tailed to exponential distribution of interevent time in cellphone top-up behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 10-17.
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