Phase transition and power-law coarsening in Ising-doped voter model
Statistical Mechanics
2017-10-25 v2 Physics and Society
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 () 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 (), or its active steady state (), change into an Ising-type power-law coarsening.
Keywords
Cite
@article{arxiv.1706.03575,
title = {Phase transition and power-law coarsening in Ising-doped voter model},
author = {Adam Lipowski and Dorota Lipowska and Antonio L. Ferreira},
journal= {arXiv preprint arXiv:1706.03575},
year = {2017}
}
Comments
6 pages, Phys.Rev.E (in press)