Box scaling as a proxy of finite size correlations

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. H...

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Detalles Bibliográficos
Autores principales:	Martin, Daniel Alejandro, Ribeiro, Tiago L., Cannas, Sergio A., Grigera, Tomás Sebastián, Plenz, Dietmar, Chialvo, Dante R.
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2021
Materias:	Física Computational biology and bioinformatics Mathematics and computing Neuroscience Physics Statistical physics, thermodynamics and nonlinear dynamics
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/135393
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-135393
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Física Computational biology and bioinformatics Mathematics and computing Neuroscience Physics Statistical physics, thermodynamics and nonlinear dynamics
spellingShingle	Física Computational biology and bioinformatics Mathematics and computing Neuroscience Physics Statistical physics, thermodynamics and nonlinear dynamics Martin, Daniel Alejandro Ribeiro, Tiago L. Cannas, Sergio A. Grigera, Tomás Sebastián Plenz, Dietmar Chialvo, Dante R. Box scaling as a proxy of finite size correlations
topic_facet	Física Computational biology and bioinformatics Mathematics and computing Neuroscience Physics Statistical physics, thermodynamics and nonlinear dynamics
description	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	Articulo Articulo
author	Martin, Daniel Alejandro Ribeiro, Tiago L. Cannas, Sergio A. Grigera, Tomás Sebastián Plenz, Dietmar Chialvo, Dante R.
author_facet	Martin, Daniel Alejandro Ribeiro, Tiago L. Cannas, Sergio A. Grigera, Tomás Sebastián Plenz, Dietmar Chialvo, Dante R.
author_sort	Martin, Daniel Alejandro
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
publishDate	2021
url	http://sedici.unlp.edu.ar/handle/10915/135393
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bdutipo_str	Repositorios
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Box scaling as a proxy of finite size correlations

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