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dc.contributor.authorSantos, G. B. M.-
dc.contributor.authorAlves, Tayroni Francisco de Alencar-
dc.contributor.authorAlves, Gladstone de Alencar-
dc.contributor.authorMacedo Filho, Antonio de-
dc.contributor.authorFerreira, Ronan Silva-
dc.date.accessioned2020-10-13T15:55:59Z-
dc.date.available2020-10-13T15:55:59Z-
dc.date.issued2020pt_BR
dc.identifier.citationSANTOS, G. B. M. et al. Epidemic outbreaks on two-dimensional quasiperiodic lattices. Physics Letters A, v. 384, n. 2, jan. 2020. Disponível em: <https://www.sciencedirect.com/science/article/abs/pii/S0375960119309533>. Acesso em: 10 mar. 2020.pt_BR
dc.identifier.issn0375-9601-
dc.identifier.urihttp://www.repositorio.ufop.br/handle/123456789/12833-
dc.description.abstractWe 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.pt_BR
dc.language.isoen_USpt_BR
dc.rightsrestritopt_BR
dc.subjectAsynchronous SIR modelpt_BR
dc.subjectEpidemic models on latticespt_BR
dc.subjectVoronoi-Delaunay triangulationpt_BR
dc.subjectMarkovian Monte Carlo processpt_BR
dc.subjectFinite size scalingpt_BR
dc.titleEpidemic outbreaks on two-dimensional quasiperiodic lattices.pt_BR
dc.typeArtigo publicado em periodicopt_BR
dc.identifier.uri2https://www.sciencedirect.com/science/article/abs/pii/S0375960119309533?via%3Dihub#!pt_BR
dc.identifier.doihttps://doi.org/10.1016/j.physleta.2019.126063pt_BR
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