Coarsening in the Persistent Voter Model: analytical results
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
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2025
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| author | de Almeida, R. G. Arenzon, J. J. Corberi, F. Dantas, W. G. Smaldone, L. |
| author_facet | de Almeida, R. G. Arenzon, J. J. Corberi, F. Dantas, W. G. Smaldone, L. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_17295 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Coarsening in the Persistent Voter Model: analytical results de Almeida, R. G. Arenzon, J. J. Corberi, F. Dantas, W. G. Smaldone, L. Statistical Mechanics 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. |
| title | Coarsening in the Persistent Voter Model: analytical results |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2503.17295 |