We investigate the coarsening dynamics of a simplified version of the persistent voter model in which an agent can become a zealot—i.e., resistent to change opinion—at each step, based on interactions with its nearest neighbors. We show that such a model captures the main features of the original, non-Markovian, persistent voter model. We derive the governing equations for the one-point and two-point correlation functions. As these equations do not form a closed set, we employ approximate closure schemes, whose validity was confirmed through numerical simulations. Analytical solutions to these equations are obtained and well-agree with the numerical results. ©2025 American Physical Society.
Coarsening in the persistent voter model: Analytical results
Corberi, F.Conceptualization
;Smaldone, L.Writing – Original Draft Preparation
2025
Abstract
We investigate the coarsening dynamics of a simplified version of the persistent voter model in which an agent can become a zealot—i.e., resistent to change opinion—at each step, based on interactions with its nearest neighbors. We show that such a model captures the main features of the original, non-Markovian, persistent voter model. We derive the governing equations for the one-point and two-point correlation functions. As these equations do not form a closed set, we employ approximate closure schemes, whose validity was confirmed through numerical simulations. Analytical solutions to these equations are obtained and well-agree with the numerical results. ©2025 American Physical Society.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
