Scale invariance in a nonvibrating magnetic granular system

Abstract A nonvibrating magnetic granular system is studied by using a time series approach. The system consists of steel balls confined inside a circular wall that surrounds a glass plate. Kinetic energy is provided to the particles by the application of an external vertical time-dependent magnetic...

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Autores principales:	G. Torres-Vargas, R. Fossion, F. Donado, F. López-González, C. Tapia-Ignacio
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2020
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/9dfb79110ae943a280f5ce21382d7a7a
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spelling	oai:doaj.org-article:9dfb79110ae943a280f5ce21382d7a7a2021-12-02T16:24:49ZScale invariance in a nonvibrating magnetic granular system10.1038/s41598-020-68345-z2045-2322https://doaj.org/article/9dfb79110ae943a280f5ce21382d7a7a2020-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-68345-zhttps://doaj.org/toc/2045-2322Abstract A nonvibrating magnetic granular system is studied by using a time series approach. The system consists of steel balls confined inside a circular wall that surrounds a glass plate. Kinetic energy is provided to the particles by the application of an external vertical time-dependent magnetic field of different amplitudes. We carried out a characterization of the system dynamics through the measurement of the correlations present in the time series of positions, in the x-direction, of each particle. In particular, by performing Fourier spectral analysis, we find that the time series are fractal and scale invariant, in such a way that the corresponding Fourier power spectra follow a power law $$P(f)\propto 1/f^\beta$$ P(f)∝1/fβ , with $$0<\beta <2.5$$ 0<β<2.5 . More specifically, we find that the values of $$\beta$$ β , and therefore the strength of the correlations, increase as the magnetic field also increases. In this way, the present system constitutes an experimental model to generate correlated random walks. Additionally, we show how the introduction of a constant magnetic field breaks down this scale invariance property in the positions of each particle. Finally, we confirm the above results by applying detrended fluctuation analysis.G. Torres-VargasR. FossionF. DonadoF. López-GonzálezC. Tapia-IgnacioNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 10, Iss 1, Pp 1-11 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q G. Torres-Vargas R. Fossion F. Donado F. López-González C. Tapia-Ignacio Scale invariance in a nonvibrating magnetic granular system
description	Abstract A nonvibrating magnetic granular system is studied by using a time series approach. The system consists of steel balls confined inside a circular wall that surrounds a glass plate. Kinetic energy is provided to the particles by the application of an external vertical time-dependent magnetic field of different amplitudes. We carried out a characterization of the system dynamics through the measurement of the correlations present in the time series of positions, in the x-direction, of each particle. In particular, by performing Fourier spectral analysis, we find that the time series are fractal and scale invariant, in such a way that the corresponding Fourier power spectra follow a power law $$P(f)\propto 1/f^\beta$$ P(f)∝1/fβ , with $$0<\beta <2.5$$ 0<β<2.5 . More specifically, we find that the values of $$\beta$$ β , and therefore the strength of the correlations, increase as the magnetic field also increases. In this way, the present system constitutes an experimental model to generate correlated random walks. Additionally, we show how the introduction of a constant magnetic field breaks down this scale invariance property in the positions of each particle. Finally, we confirm the above results by applying detrended fluctuation analysis.
format	article
author	G. Torres-Vargas R. Fossion F. Donado F. López-González C. Tapia-Ignacio
author_facet	G. Torres-Vargas R. Fossion F. Donado F. López-González C. Tapia-Ignacio
author_sort	G. Torres-Vargas
title	Scale invariance in a nonvibrating magnetic granular system
title_short	Scale invariance in a nonvibrating magnetic granular system
title_full	Scale invariance in a nonvibrating magnetic granular system
title_fullStr	Scale invariance in a nonvibrating magnetic granular system
title_full_unstemmed	Scale invariance in a nonvibrating magnetic granular system
title_sort	scale invariance in a nonvibrating magnetic granular system
publisher	Nature Portfolio
publishDate	2020
url	https://doaj.org/article/9dfb79110ae943a280f5ce21382d7a7a
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_version_	1718384125815029760

Scale invariance in a nonvibrating magnetic granular system

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