# Percolation thresholds on a triangular lattice for neighborhoods containing sites up to the fifth coordination zone.

@article{Malarz2021PercolationTO, title={Percolation thresholds on a triangular lattice for neighborhoods containing sites up to the fifth coordination zone.}, author={Krzysztof Malarz}, journal={Physical review. E}, year={2021}, volume={103 5-1}, pages={ 052107 } }

We determine thresholds p_{c} for random-site percolation on a triangular lattice for all available neighborhoods containing sites from the first to the fifth coordination zones, including their complex combinations. There are 31 distinct neighborhoods. The dependence of the value of the percolation thresholds p_{c} on the coordination number z are tested against various theoretical predictions. The proposed single scalar index ξ=∑_{i}z_{i}r_{i}^{2}/i (depending on the coordination zone number…

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