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

Adam Lipowski, Dorota Lipowska, and António Luis Ferreira
Phys. Rev. E 96, 032145 – Published 29 September 2017

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%) of the Ising agents drastically changes the behavior 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.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 12 June 2017

DOI:https://doi.org/10.1103/PhysRevE.96.032145

©2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Statistical Physics & ThermodynamicsInterdisciplinary Physics

Authors & Affiliations

Adam Lipowski1, Dorota Lipowska2, and António Luis Ferreira3

  • 1Faculty of Physics, Adam Mickiewicz University, 61-614 Poznań, Poland
  • 2Faculty of Modern Languages and Literature, Adam Mickiewicz University, 61-874 Poznań, Poland
  • 3Departamento de Física, I3N, Universidade de Aveiro, 3810-193 Aveiro, Portugal

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 96, Iss. 3 — September 2017

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×