Heterogeneous pair-approximation for the contact process on complex networks

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorMata, Angélica S.-
Autor(es): dc.creatorFerreira, Ronan S.-
Autor(es): dc.creatorFerreira, Silvio C.-
Data de aceite: dc.date.accessioned2026-02-09T11:47:47Z-
Data de disponibilização: dc.date.available2026-02-09T11:47:47Z-
Data de envio: dc.date.issued2017-02-17-
Data de envio: dc.date.issued2017-02-17-
Data de envio: dc.date.issued2014-05-01-
Fonte completa do material: dc.identifierhttps://repositorio.ufla.br/handle/1/12304-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1147641-
Descrição: dc.descriptionRecent works have shown that the contact process running on the top of highly heterogeneous random networks is described by the heterogeneous mean-field theory. However, some important aspects such as the transition point and strong corrections to the finite-size scaling observed in simulations are not quantitatively reproduced in this theory. We develop a heterogeneous pair-approximation, the simplest mean-field approach that takes into account dynamical correlations, for the contact process. The transition points obtained in this theory are in very good agreement with simulations. The proximity with a simple homogeneous pair-approximation is elicited showing that the transition point in successive homogeneous cluster approximations moves away from the simulation results. We show that the critical exponents of the heterogeneous pair-approximation in the infinite-size limit are the same as those of the one-vertex theory. However, excellent matches with simulations, for a wide range of network sizes, are obtained when the sub-leading finite-size corrections given by the new theory are explicitly taken into account. The present approach can be suited to dynamical processes on networks in general providing a profitable strategy to analytically assess and fine-tune theoretical corrections.-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Publicador: dc.publisherInstitute of Physics (Great Britain)-
Direitos: dc.rightsacesso aberto-
???dc.source???: dc.sourceNew Journal of Physics-
Palavras-chave: dc.subjectComplex networks-
Palavras-chave: dc.subjectCritical phenomena-
Palavras-chave: dc.subjectMean-field theory-
Título: dc.titleHeterogeneous pair-approximation for the contact process on complex networks-
Tipo de arquivo: dc.typeArtigo-
Aparece nas coleções:Repositório Institucional da Universidade Federal de Lavras (RIUFLA)

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