Connecting complex networks to nonadditive entropies

Abstract Boltzmann–Gibbs statistical mechanics applies satisfactorily to a plethora of systems. It fails however for complex systems generically involving nonlocal space–time entanglement. Its generalization based on nonadditive q-entropies adequately handles a wide class of such systems. We show he...

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Autores principales:	R. M. de Oliveira, Samuraí Brito, L. R. da Silva, Constantino Tsallis
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/13e42e3f4ea0427faf105e0259112d24
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spelling	oai:doaj.org-article:13e42e3f4ea0427faf105e0259112d242021-12-02T14:12:10ZConnecting complex networks to nonadditive entropies10.1038/s41598-020-80939-12045-2322https://doaj.org/article/13e42e3f4ea0427faf105e0259112d242021-01-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-80939-1https://doaj.org/toc/2045-2322Abstract Boltzmann–Gibbs statistical mechanics applies satisfactorily to a plethora of systems. It fails however for complex systems generically involving nonlocal space–time entanglement. Its generalization based on nonadditive q-entropies adequately handles a wide class of such systems. We show here that scale-invariant networks belong to this class. We numerically study a d-dimensional geographically located network with weighted links and exhibit its ‘energy’ distribution per site at its quasi-stationary state. Our results strongly suggest a correspondence between the random geometric problem and a class of thermal problems within the generalised thermostatistics. The Boltzmann–Gibbs exponential factor is generically substituted by its q-generalisation, and is recovered in the $$q=1$$ q = 1 limit when the nonlocal effects fade away. The present connection should cross-fertilise experiments in both research areas.R. M. de OliveiraSamuraí BritoL. R. da SilvaConstantino TsallisNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-7 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q R. M. de Oliveira Samuraí Brito L. R. da Silva Constantino Tsallis Connecting complex networks to nonadditive entropies
description	Abstract Boltzmann–Gibbs statistical mechanics applies satisfactorily to a plethora of systems. It fails however for complex systems generically involving nonlocal space–time entanglement. Its generalization based on nonadditive q-entropies adequately handles a wide class of such systems. We show here that scale-invariant networks belong to this class. We numerically study a d-dimensional geographically located network with weighted links and exhibit its ‘energy’ distribution per site at its quasi-stationary state. Our results strongly suggest a correspondence between the random geometric problem and a class of thermal problems within the generalised thermostatistics. The Boltzmann–Gibbs exponential factor is generically substituted by its q-generalisation, and is recovered in the $$q=1$$ q = 1 limit when the nonlocal effects fade away. The present connection should cross-fertilise experiments in both research areas.
format	article
author	R. M. de Oliveira Samuraí Brito L. R. da Silva Constantino Tsallis
author_facet	R. M. de Oliveira Samuraí Brito L. R. da Silva Constantino Tsallis
author_sort	R. M. de Oliveira
title	Connecting complex networks to nonadditive entropies
title_short	Connecting complex networks to nonadditive entropies
title_full	Connecting complex networks to nonadditive entropies
title_fullStr	Connecting complex networks to nonadditive entropies
title_full_unstemmed	Connecting complex networks to nonadditive entropies
title_sort	connecting complex networks to nonadditive entropies
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/13e42e3f4ea0427faf105e0259112d24
work_keys_str_mv	AT rmdeoliveira connectingcomplexnetworkstononadditiveentropies AT samuraibrito connectingcomplexnetworkstononadditiveentropies AT lrdasilva connectingcomplexnetworkstononadditiveentropies AT constantinotsallis connectingcomplexnetworkstononadditiveentropies
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Connecting complex networks to nonadditive entropies

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