Comparison of voter and Glauber ordering dynamics on networks.

@article{Castellano2005ComparisonOV,
  title={Comparison of voter and Glauber ordering dynamics on networks.},
  author={Claudio Castellano and Vittorio Loreto and Alain Barrat and Federico Cecconi and Domenico Parisi},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2005},
  volume={71 6 Pt 2},
  pages={066107}
}
We study numerically the ordering process of two very simple dynamical models for a two-state variable on several topologies with increasing levels of heterogeneity in the degree distribution. We find that the zero-temperature Glauber dynamics for the Ising model may get trapped in sets of partially ordered metastable states even for finite system size, and this becomes more probable as the size increases. Voter dynamics instead always converges to full order on finite networks, even if this… CONTINUE READING
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