Ordering dynamics of nonlinear voter models

We study the ordering dynamics of nonlinear voter models with multiple states, also providing a discussion of the two-state model. The rate with which an individual adopts an opinion scales as the qth power of the number of the individual's neighbors in that state. For q>1 the dynamics favor...

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Bibliographic Details
Published in:Physical review. E 2024-03, Vol.109 (3-1), p.034307-034307, Article 034307
Main Authors: Ramirez, Lucía S, Vazquez, Federico, San Miguel, Maxi, Galla, Tobias
Format: Article
Language:English
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Summary:We study the ordering dynamics of nonlinear voter models with multiple states, also providing a discussion of the two-state model. The rate with which an individual adopts an opinion scales as the qth power of the number of the individual's neighbors in that state. For q>1 the dynamics favor the opinion held by the most agents. The ordering to consensus is driven by deterministic drift, and noise plays only a minor role. For q
ISSN:2470-0045
2470-0053
DOI:10.1103/PhysRevE.109.034307