1/x power-law in a close proximity of the Bak–Tang–Wiesenfeld sandpile

Abstract A cellular automaton constructed by Bak, Tang, and Wiesenfeld (BTW) in 1987 to explain the 1/f noise was recognized by the community for the theoretical foundations of self-organized criticality (SOC). Their conceptual work gave rise to various scientific areas in statistical physics, mathe...

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Autores principales:	Alexander Shapoval, Boris Shapoval, Mikhail Shnirman
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/134d00dbcf304f4597d94b45e85280c3
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id	oai:doaj.org-article:134d00dbcf304f4597d94b45e85280c3
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spelling	oai:doaj.org-article:134d00dbcf304f4597d94b45e85280c32021-12-02T18:50:52Z1/x power-law in a close proximity of the Bak–Tang–Wiesenfeld sandpile10.1038/s41598-021-97592-x2045-2322https://doaj.org/article/134d00dbcf304f4597d94b45e85280c32021-09-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-97592-xhttps://doaj.org/toc/2045-2322Abstract A cellular automaton constructed by Bak, Tang, and Wiesenfeld (BTW) in 1987 to explain the 1/f noise was recognized by the community for the theoretical foundations of self-organized criticality (SOC). Their conceptual work gave rise to various scientific areas in statistical physics, mathematics, and applied fields. The BTW core principles are based on steady slow loading and an instant huge stress-release. Advanced models, extensively developed far beyond the foundations for 34 years to successfully explain SOC in real-life processes, still failed to generate truncated 1/x probability distributions. This is done here through returning to the original BTW model and establishing its larger potential than the state-of-the-art expects. We establish that clustering of the events in space and time together with the core principles revealed by BTW lead to approximately 1/x power-law in the size-frequency distribution of model events.Alexander ShapovalBoris ShapovalMikhail ShnirmanNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-6 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Alexander Shapoval Boris Shapoval Mikhail Shnirman 1/x power-law in a close proximity of the Bak–Tang–Wiesenfeld sandpile
description	Abstract A cellular automaton constructed by Bak, Tang, and Wiesenfeld (BTW) in 1987 to explain the 1/f noise was recognized by the community for the theoretical foundations of self-organized criticality (SOC). Their conceptual work gave rise to various scientific areas in statistical physics, mathematics, and applied fields. The BTW core principles are based on steady slow loading and an instant huge stress-release. Advanced models, extensively developed far beyond the foundations for 34 years to successfully explain SOC in real-life processes, still failed to generate truncated 1/x probability distributions. This is done here through returning to the original BTW model and establishing its larger potential than the state-of-the-art expects. We establish that clustering of the events in space and time together with the core principles revealed by BTW lead to approximately 1/x power-law in the size-frequency distribution of model events.
format	article
author	Alexander Shapoval Boris Shapoval Mikhail Shnirman
author_facet	Alexander Shapoval Boris Shapoval Mikhail Shnirman
author_sort	Alexander Shapoval
title	1/x power-law in a close proximity of the Bak–Tang–Wiesenfeld sandpile
title_short	1/x power-law in a close proximity of the Bak–Tang–Wiesenfeld sandpile
title_full	1/x power-law in a close proximity of the Bak–Tang–Wiesenfeld sandpile
title_fullStr	1/x power-law in a close proximity of the Bak–Tang–Wiesenfeld sandpile
title_full_unstemmed	1/x power-law in a close proximity of the Bak–Tang–Wiesenfeld sandpile
title_sort	1/x power-law in a close proximity of the bak–tang–wiesenfeld sandpile
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/134d00dbcf304f4597d94b45e85280c3
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1/x power-law in a close proximity of the Bak–Tang–Wiesenfeld sandpile

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