Coarsening in the persistent voter model: Analytical results
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.
Authors
- L. A. Smaldone (ORCID: https://orcid.org/0000-0002-6738-5537)
- Jeferson J. Arenzon (ORCID: https://orcid.org/0000-0001-8373-6475)
- W. G. Dantas (ORCID: https://orcid.org/0000-0001-5818-6299)
- Federico Corberi (ORCID: https://orcid.org/0000-0002-4763-425X)
- Karl J. Friston
Institutions
- Universidade Federal do Rio Grande do Sul (BR)
- University of Salerno (IT)
- Universidade Federal Fluminense (BR)
- Weatherford College (US)
- Instituto Nacional de Tecnologia (BR)
- Istituto Nazionale di Fisica Nucleare, Sezione di Napoli (IT)
Publication Details
- Journal
- Physical review. E
- Published
- 2025-05-29
- DOI
- https://doi.org/10.1103/yjf2-4z1d
- Citations
- 1
- Primary Topic
- Opinion Dynamics and Social Influence
- Type
- article
- Field-Weighted Citation Impact
- 1.32
Funders
- Conselho Nacional de Desenvolvimento Científico e Tecnológico