Use este identificador para citar ou linkar para este item: http://repositorio.ufla.br/jspui/handle/1/50464
Título: From subcritical behavior to a correlation-induced transition in rumor models
Palavras-chave: Complex networks
Nonlinear phenomena
Phase transitions and critical phenomena
Data do documento: Jun-2022
Editor: Springer Nature
Citação: ARRUDA, G. F. de et al. From subcritical behavior to a correlation-induced transition in rumor models. Nature Communications, [S.I.], v. 13, 2022. DOI: https://doi.org/10.1038/s41467-022-30683-z.
Resumo: Rumors and information spreading emerge naturally from human-to-human interactions and have a growing impact on our everyday life due to increasing and faster access to information, whether trustworthy or not. A popular mathematical model for spreading rumors, data, or news is the Maki–Thompson model. Mean-field approximations suggested that this model does not have a phase transition, with rumors always reaching a fraction of the population. Conversely, here, we show that a continuous phase transition is present in this model. Moreover, we explore a modified version of the Maki–Thompson model that includes a forgetting mechanism, changing the Markov chain’s nature and allowing us to use a plethora of analytic and numeric methods. Particularly, we characterize the subcritical behavior, where the lifespan of a rumor increases as the spreading rate drops, following a power-law relationship. Our findings show that the dynamic behavior of rumor models is much richer than shown in previous investigations.
URI: https://www.nature.com/articles/s41467-022-30683-z
http://repositorio.ufla.br/jspui/handle/1/50464
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