Coarsening in the persistent voter model: Analytical results
Phys. Rev. E 111, 064313 – Published 26 June, 2025
DOI: https://doi.org/10.1103/yjf2-4z1d
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.
