Site percolation thresholds on triangular lattice with complex neighborhoods.

  title={Site percolation thresholds on triangular lattice with complex neighborhoods.},
  author={Krzysztof Malarz},
  volume={30 12},
  • K. Malarz
  • Published 28 June 2020
  • Computer Science, Physics
  • Chaos
We determine thresholds pc for random site percolation on a triangular lattice for neighborhoods containing nearest (NN), next-nearest (2NN), next-next-nearest (3NN), next-next-next-nearest (4NN), and next-next-next-next-nearest (5NN) neighbors, and their combinations forming regular hexagons (3NN+2NN+NN, 5NN+4NN+NN, 5NN+4NN+3NN+2NN, and 5NN+4NN+3NN+2NN+NN). We use a fast Monte Carlo algorithm, by Newman and Ziff [Phys. Rev. E 64, 016706 (2001)], for obtaining the dependence of the largest… 

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