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

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.

6 pages, Phys.Rev.E (in press)

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• Aging Phenomena during Phase Separation in Fluids: Decay of autocorrelation for vapor-liquid transitions
• The Thermodynamic Limit of Spin Systems on Random Graphs
• Equilibrium behavior in a nonequilibrium system: Ising-doped voter model on complete graph
• Evolution toward linguistic coherence in naming game with migrating agents
• Spatial evidence that language change is not neutral
• Mean-field approximation and phase transitions in an Ising-voter model on directed regular random graphs