Box scaling as a proxy of finite size correlations

Abstract The scaling of correlations as a function of size provides important hints to understand critical phenomena on a variety of systems. Its study in biological structures offers two challenges: usually they are not of infinite size, and, in the majority of cases, dimensions can not be varied a...

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Autores principales:	Daniel A. Martin, Tiago L. Ribeiro, Sergio A. Cannas, Tomas S. Grigera, Dietmar Plenz, Dante R. Chialvo
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/6b81fe4130f04284933f3aa8ae51a2d3
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spelling	oai:doaj.org-article:6b81fe4130f04284933f3aa8ae51a2d32021-12-02T17:06:09ZBox scaling as a proxy of finite size correlations10.1038/s41598-021-95595-22045-2322https://doaj.org/article/6b81fe4130f04284933f3aa8ae51a2d32021-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-95595-2https://doaj.org/toc/2045-2322Abstract The scaling of correlations as a function of size provides important hints to understand critical phenomena on a variety of systems. Its study in biological structures offers two challenges: usually they are not of infinite size, and, in the majority of cases, dimensions can not be varied at will. Here we discuss how finite-size scaling can be approximated in an experimental system of fixed and relatively small extent, by computing correlations inside of a reduced field of view of various widths (we will refer to this procedure as “box-scaling”). A relation among the size of the field of view, and measured correlation length, is derived at, and away from, the critical regime. Numerical simulations of a neuronal network, as well as the ferromagnetic 2D Ising model, are used to verify such approximations. Numerical results support the validity of the heuristic approach, which should be useful to characterize relevant aspects of critical phenomena in biological systems.Daniel A. MartinTiago L. RibeiroSergio A. CannasTomas S. GrigeraDietmar PlenzDante R. ChialvoNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-9 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Daniel A. Martin Tiago L. Ribeiro Sergio A. Cannas Tomas S. Grigera Dietmar Plenz Dante R. Chialvo Box scaling as a proxy of finite size correlations
description	Abstract The scaling of correlations as a function of size provides important hints to understand critical phenomena on a variety of systems. Its study in biological structures offers two challenges: usually they are not of infinite size, and, in the majority of cases, dimensions can not be varied at will. Here we discuss how finite-size scaling can be approximated in an experimental system of fixed and relatively small extent, by computing correlations inside of a reduced field of view of various widths (we will refer to this procedure as “box-scaling”). A relation among the size of the field of view, and measured correlation length, is derived at, and away from, the critical regime. Numerical simulations of a neuronal network, as well as the ferromagnetic 2D Ising model, are used to verify such approximations. Numerical results support the validity of the heuristic approach, which should be useful to characterize relevant aspects of critical phenomena in biological systems.
format	article
author	Daniel A. Martin Tiago L. Ribeiro Sergio A. Cannas Tomas S. Grigera Dietmar Plenz Dante R. Chialvo
author_facet	Daniel A. Martin Tiago L. Ribeiro Sergio A. Cannas Tomas S. Grigera Dietmar Plenz Dante R. Chialvo
author_sort	Daniel A. Martin
title	Box scaling as a proxy of finite size correlations
title_short	Box scaling as a proxy of finite size correlations
title_full	Box scaling as a proxy of finite size correlations
title_fullStr	Box scaling as a proxy of finite size correlations
title_full_unstemmed	Box scaling as a proxy of finite size correlations
title_sort	box scaling as a proxy of finite size correlations
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/6b81fe4130f04284933f3aa8ae51a2d3
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Box scaling as a proxy of finite size correlations

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