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Coarsening in the persistent voter model: Analytical results
R G de Almeida1, Jeferson J Arenzon2,3, F Corberi4,5
1Universidade Federal Fluminense, Instituto de Física, Niterói 24210-346, Brazil.
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.
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