Joint effect of ageing and multilayer structure prevents ordering in the voter model

Abstract The voter model rules are simple, with agents copying the state of a random neighbor, but they lead to non-trivial dynamics. Besides opinion processes, the model has also applications for catalysis and species competition. Inspired by the temporal inhomogeneities found in human interactions...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Oriol Artime, Juan Fernández-Gracia, José J. Ramasco, Maxi San Miguel
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/8b93ded707a24f7d823e6a65b29bbdcd
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:8b93ded707a24f7d823e6a65b29bbdcd
record_format	dspace
spelling	oai:doaj.org-article:8b93ded707a24f7d823e6a65b29bbdcd2021-12-02T11:40:59ZJoint effect of ageing and multilayer structure prevents ordering in the voter model10.1038/s41598-017-07031-z2045-2322https://doaj.org/article/8b93ded707a24f7d823e6a65b29bbdcd2017-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-07031-zhttps://doaj.org/toc/2045-2322Abstract The voter model rules are simple, with agents copying the state of a random neighbor, but they lead to non-trivial dynamics. Besides opinion processes, the model has also applications for catalysis and species competition. Inspired by the temporal inhomogeneities found in human interactions, one can introduce ageing in the agents: the probability to update their state decreases with the time elapsed since the last change. This modified dynamics induces an approach to consensus via coarsening in single-layer complex networks. In this work, we investigate how a multilayer structure affects the dynamics of the ageing voter model. The system is studied as a function of the fraction of nodes sharing states across layers (multiplexity parameter q). We find that the dynamics of the system suffers a notable change at an intermediate value q*. Above it, the voter model always orders to an absorbing configuration. While below it a fraction of the realizations falls into dynamical traps associated to a spontaneous symmetry breaking. In this latter case, the majority opinion in the different layers takes opposite signs and the arrival at the absorbing state is indefinitely delayed due to ageing.Oriol ArtimeJuan Fernández-GraciaJosé J. RamascoMaxi San MiguelNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-11 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Oriol Artime Juan Fernández-Gracia José J. Ramasco Maxi San Miguel Joint effect of ageing and multilayer structure prevents ordering in the voter model
description	Abstract The voter model rules are simple, with agents copying the state of a random neighbor, but they lead to non-trivial dynamics. Besides opinion processes, the model has also applications for catalysis and species competition. Inspired by the temporal inhomogeneities found in human interactions, one can introduce ageing in the agents: the probability to update their state decreases with the time elapsed since the last change. This modified dynamics induces an approach to consensus via coarsening in single-layer complex networks. In this work, we investigate how a multilayer structure affects the dynamics of the ageing voter model. The system is studied as a function of the fraction of nodes sharing states across layers (multiplexity parameter q). We find that the dynamics of the system suffers a notable change at an intermediate value q*. Above it, the voter model always orders to an absorbing configuration. While below it a fraction of the realizations falls into dynamical traps associated to a spontaneous symmetry breaking. In this latter case, the majority opinion in the different layers takes opposite signs and the arrival at the absorbing state is indefinitely delayed due to ageing.
format	article
author	Oriol Artime Juan Fernández-Gracia José J. Ramasco Maxi San Miguel
author_facet	Oriol Artime Juan Fernández-Gracia José J. Ramasco Maxi San Miguel
author_sort	Oriol Artime
title	Joint effect of ageing and multilayer structure prevents ordering in the voter model
title_short	Joint effect of ageing and multilayer structure prevents ordering in the voter model
title_full	Joint effect of ageing and multilayer structure prevents ordering in the voter model
title_fullStr	Joint effect of ageing and multilayer structure prevents ordering in the voter model
title_full_unstemmed	Joint effect of ageing and multilayer structure prevents ordering in the voter model
title_sort	joint effect of ageing and multilayer structure prevents ordering in the voter model
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/8b93ded707a24f7d823e6a65b29bbdcd
work_keys_str_mv	AT oriolartime jointeffectofageingandmultilayerstructurepreventsorderinginthevotermodel AT juanfernandezgracia jointeffectofageingandmultilayerstructurepreventsorderinginthevotermodel AT josejramasco jointeffectofageingandmultilayerstructurepreventsorderinginthevotermodel AT maxisanmiguel jointeffectofageingandmultilayerstructurepreventsorderinginthevotermodel
_version_	1718395471957852160

Joint effect of ageing and multilayer structure prevents ordering in the voter model

Ejemplares similares