English

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 (1%\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=2d=2), or its active steady state (d=3d=3), 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)