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arXiv · 1706.03575

Phase transition and power-law coarsening in Ising-doped voter model

Adam Lipowski·Dorota Lipowska·Antonio L. Ferreira
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Abstract

We examine an opinion formation model, which is a mixture of Voter and Ising agents. Numerical simulations show that even a very small fraction ($\sim 1\%$) of the Ising agents drastically changes the behaviour of the Voter model. The Voter agents act as a medium, which correlates sparsely dispersed Ising agents, and the resulting ferromagnetic ordering persists up to a certain temperature. Upon addition of the Ising agents, a logarithmically slow coarsening of the Voter model ($d=2$), or its active steady state ($d=3$), change into an Ising-type power-law coarsening.

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BibTeXRIS

Adam Lipowski, Dorota Lipowska, Antonio L. Ferreira. 2017-06-12. Phase transition and power-law coarsening in Ising-doped voter model. https://doi.org/10.1103/physreve.96.032145

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