# Simple cubic random-site percolation thresholds for neighborhoods containing fourth-nearest neighbors.

@article{Malarz2014SimpleCR, title={Simple cubic random-site percolation thresholds for neighborhoods containing fourth-nearest neighbors.}, author={Krzysztof Malarz}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2014}, volume={91 4}, pages={ 043301 } }

In this paper, random-site percolation thresholds for a simple cubic (SC) lattice with site neighborhoods containing next-next-next-nearest neighbors (4NN) are evaluated with Monte Carlo simulations. A recently proposed algorithm with low sampling for percolation thresholds estimation (Bastas et al., arXiv:1411.5834) is implemented for the studies of the top-bottom wrapping probability. The obtained percolation thresholds are p(C)(4NN)=0.31160(12),p(C)(4NN+NN)=0.15040(12),p(C)(4NN+2NN)=0.15950…

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