• Corpus ID: 4571861

Evolution and Steady State of a Long-Range Two-Dimensional Schelling Spin System

@article{Omidvar2018EvolutionAS,
  title={Evolution and Steady State of a Long-Range Two-Dimensional Schelling Spin System},
  author={Hamed Omidvar and Massimo Franceschetti},
  journal={ArXiv},
  year={2018},
  volume={abs/1804.00358}
}
We consider a long-range interacting particle system in which binary particles are located at the integer points of a flat torus. Based on the interactions with other particles in its "neighborhood" and on the value of a common intolerance threshold $\tau$, every particle decides whether to change its state after an independent and exponentially distributed waiting time. This is equivalent to a Schelling model of self-organized segregation in an open system, a zero-temperature Ising model with… 
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