Epidemic outbreaks on two-dimensional quasiperiodic lattices.

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Autor(es): dc.creatorSantos, G. B. M.-
Autor(es): dc.creatorAlves, Tayroni Francisco de Alencar-
Autor(es): dc.creatorAlves, Gladstone de Alencar-
Autor(es): dc.creatorMacedo Filho, Antonio de-
Autor(es): dc.creatorFerreira, Ronan Silva-
Data de aceite: dc.date.accessioned2022-02-21T19:59:24Z-
Data de disponibilização: dc.date.available2022-02-21T19:59:24Z-
Data de envio: dc.date.issued2020-10-13-
Data de envio: dc.date.issued2020-10-13-
Data de envio: dc.date.issued2019-
Fonte completa do material: dc.identifierhttp://www.repositorio.ufop.br/handle/123456789/12833-
Fonte completa do material: dc.identifierhttps://www.sciencedirect.com/science/article/abs/pii/S0375960119309533?via%3Dihub#!-
Fonte completa do material: dc.identifierhttps://doi.org/10.1016/j.physleta.2019.126063-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/650821-
Descrição: dc.descriptionWe present a novel kinetic Monte Carlo technique to study the susceptible-infected-removed model in order to simulate epidemic outbreaks on two quasiperiodic lattices, namely, Penrose and Ammann-Beenker. Our analysis around criticality is performed by investigating the order parameter, which is defined as the probability of growing a spanning cluster formed by removed sites, evolving from an initial system configuration with a single random chosen infective site. This system is studied by means of the cluster size distribution, obtained by the Newman-Ziff algorithm. Additionally, we obtained the mean cluster size, and a cumulant ratio to estimate the epidemic threshold. In spite of the quasiperiodic order moves the transition point, compared to periodic lattices, this is not able to alter the universality class of the model, leading to the same critical exponents. In addition, our technique can be generalized to study epidemic outbreaks in networks and diffusing populations.-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Direitos: dc.rightsrestrito-
Palavras-chave: dc.subjectAsynchronous SIR model-
Palavras-chave: dc.subjectEpidemic models on lattices-
Palavras-chave: dc.subjectVoronoi-Delaunay triangulation-
Palavras-chave: dc.subjectMarkovian Monte Carlo process-
Palavras-chave: dc.subjectFinite size scaling-
Título: dc.titleEpidemic outbreaks on two-dimensional quasiperiodic lattices.-
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