Equivalent-neighbor percolation models in two dimensions: Crossover between mean-field and short-range behavior

@article{Ouyang2018EquivalentneighborPM,
  title={Equivalent-neighbor percolation models in two dimensions: Crossover between mean-field and short-range behavior},
  author={Yunqing Ouyang and Youjin Deng and Henk W. J. Blote},
  journal={Physical Review E},
  year={2018}
}
We investigate the influence of the range of interactions in the two-dimensional bond percolation model, by means of Monte Carlo simulations. We locate the phase transitions for several interaction ranges, as expressed by the number $z$ of equivalent neighbors. We also consider the $z \to \infty$ limit, i.e., the complete graph case, where percolation bonds are allowed between each pair of sites, and the model becomes mean-field-like. All investigated models with finite $z$ are found to belong… 

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