Emergence of disconnected clusters in heterogeneous complex systems

Abstract Percolation theory dictates an intuitive picture depicting correlated regions in complex systems as densely connected clusters. While this picture might be adequate at small scales and apart from criticality, we show that highly correlated sites in complex systems can be inherently disconne...

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Autores principales:	István A. Kovács, Róbert Juhász
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2020
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/2e497b841fd542929edc8f1d3549c054
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spelling	oai:doaj.org-article:2e497b841fd542929edc8f1d3549c0542021-12-02T13:34:10ZEmergence of disconnected clusters in heterogeneous complex systems10.1038/s41598-020-78769-22045-2322https://doaj.org/article/2e497b841fd542929edc8f1d3549c0542020-12-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-78769-2https://doaj.org/toc/2045-2322Abstract Percolation theory dictates an intuitive picture depicting correlated regions in complex systems as densely connected clusters. While this picture might be adequate at small scales and apart from criticality, we show that highly correlated sites in complex systems can be inherently disconnected. This finding indicates a counter-intuitive organization of dynamical correlations, where functional similarity decouples from physical connectivity. We illustrate the phenomenon on the example of the disordered contact process (DCP) of infection spreading in heterogeneous systems. We apply numerical simulations and an asymptotically exact renormalization group technique (SDRG) in 1, 2 and 3 dimensional systems as well as in two-dimensional lattices with long-ranged interactions. We conclude that the critical dynamics is well captured by mostly one, highly correlated, but spatially disconnected cluster. Our findings indicate that at criticality the relevant, simultaneously infected sites typically do not directly interact with each other. Due to the similarity of the SDRG equations, our results hold also for the critical behavior of the disordered quantum Ising model, leading to quantum correlated, yet spatially disconnected, magnetic domains.István A. KovácsRóbert JuhászNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 10, Iss 1, Pp 1-8 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q István A. Kovács Róbert Juhász Emergence of disconnected clusters in heterogeneous complex systems
description	Abstract Percolation theory dictates an intuitive picture depicting correlated regions in complex systems as densely connected clusters. While this picture might be adequate at small scales and apart from criticality, we show that highly correlated sites in complex systems can be inherently disconnected. This finding indicates a counter-intuitive organization of dynamical correlations, where functional similarity decouples from physical connectivity. We illustrate the phenomenon on the example of the disordered contact process (DCP) of infection spreading in heterogeneous systems. We apply numerical simulations and an asymptotically exact renormalization group technique (SDRG) in 1, 2 and 3 dimensional systems as well as in two-dimensional lattices with long-ranged interactions. We conclude that the critical dynamics is well captured by mostly one, highly correlated, but spatially disconnected cluster. Our findings indicate that at criticality the relevant, simultaneously infected sites typically do not directly interact with each other. Due to the similarity of the SDRG equations, our results hold also for the critical behavior of the disordered quantum Ising model, leading to quantum correlated, yet spatially disconnected, magnetic domains.
format	article
author	István A. Kovács Róbert Juhász
author_facet	István A. Kovács Róbert Juhász
author_sort	István A. Kovács
title	Emergence of disconnected clusters in heterogeneous complex systems
title_short	Emergence of disconnected clusters in heterogeneous complex systems
title_full	Emergence of disconnected clusters in heterogeneous complex systems
title_fullStr	Emergence of disconnected clusters in heterogeneous complex systems
title_full_unstemmed	Emergence of disconnected clusters in heterogeneous complex systems
title_sort	emergence of disconnected clusters in heterogeneous complex systems
publisher	Nature Portfolio
publishDate	2020
url	https://doaj.org/article/2e497b841fd542929edc8f1d3549c054
work_keys_str_mv	AT istvanakovacs emergenceofdisconnectedclustersinheterogeneouscomplexsystems AT robertjuhasz emergenceofdisconnectedclustersinheterogeneouscomplexsystems
_version_	1718392785418059776

Emergence of disconnected clusters in heterogeneous complex systems

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