Coarsening in the Persistent Voter Model: analytical results
Statistical Mechanics
2026-03-17 v1
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.
Keywords
Cite
@article{arxiv.2503.17295,
title = {Coarsening in the Persistent Voter Model: analytical results},
author = {R. G. de Almeida and J. J. Arenzon and F. Corberi and W. G. Dantas and L. Smaldone},
journal= {arXiv preprint arXiv:2503.17295},
year = {2026}
}
Comments
11 pages, 12 figures