Santos, G. B. M.Alves, Tayroni Francisco de AlencarAlves, Gladstone de AlencarMacedo Filho, Antonio deFerreira, Ronan Silva2020-10-132020-10-132020SANTOS, 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. 2020.0375-9601http://www.repositorio.ufop.br/handle/123456789/12833We 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.en-USrestritoAsynchronous SIR modelEpidemic models on latticesVoronoi-Delaunay triangulationMarkovian Monte Carlo processFinite size scalingArtigo publicado em periodicohttps://www.sciencedirect.com/science/article/abs/pii/S0375960119309533?via%3Dihub#!https://doi.org/10.1016/j.physleta.2019.126063