https://doi.org/10.1140/epje/s10189-024-00423-w
Regular Article - Flowing Matter
Multifractal fluctuations in zebrafish (Danio rerio) polarization time series
1
Departamento de Física, Universidade Federal Rural de Pernambuco, Rua Manoel de Medeiros, s/n - Dois Irmãos, 52171-900, Recife, Brazil
2
Centro de Apoio à Pesquisa, Universidade Federal Rural de Pernambuco, Rua Manoel de Medeiros, s/n - Dois Irmãos, 52171-900, Recife, Brazil
3
Departamento de Morfologia e Fisiologia Animal, Universidade Federal Rural de Pernambuco, Rua Manoel de Medeiros, s/n - Dois Irmãos, 52171-900, Recife, Brazil
Received:
5
February
2024
Accepted:
12
April
2024
Published online:
5
May
2024
In this work, we study the polarization time series obtained from experimental observation of a group of zebrafish (Danio rerio) confined in a circular tank. The complex dynamics of the individual trajectory evolution lead to the appearance of multiple characteristic scales. Employing the Multifractal Detrended Fluctuation Analysis (MF-DFA), we found distinct behaviors according to the parameters used. The polarization time series are multifractal at low fish densities and their average scales with 
. On the other hand, they tend to be monofractal, and their average scales with 
for high fish densities. These two regimes overlap at critical density 
, suggesting the existence of a phase transition separating them. We also observed that for low densities, the polarization velocity shows a non-Gaussian behavior with heavy tails associated with long-range correlation and becomes Gaussian for high densities, presenting an uncorrelated regime.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
