Coarsening in the persistent voter model: Analytical results.
basic_science · Level V
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- Record sourced from PubMed, PMID 40745756.
- Also identified by DOI 10.1103/yjf2-4z1d.
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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.