Fluctuation-Induced Phase Separation in Metric and Topological Models of Collective Motion.

@article{Martin2020FluctuationInducedPS,
  title={Fluctuation-Induced Phase Separation in Metric and Topological Models of Collective Motion.},
  author={David Martin and Hugues Chat{\'e} and Cesare Nardini and Alexandre Solon and Julien Tailleur and Fr{\'e}d{\'e}ric van Wijland},
  journal={Physical review letters},
  year={2020},
  volume={126 14},
  pages={
          148001
        }
}
We study the role of noise on the nature of the transition to collective motion in dry active matter. Starting from field theories that predict a continuous transition at the deterministic level, we show that fluctuations induce a density-dependent shift of the onset of order, which in turn changes the nature of the transition into a phase-separation scenario. Our results apply to a range of systems, including models in which particles interact with their "topological" neighbors that have been… 

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