# Percolation thresholds for discrete-continuous models with nonuniform probabilities of bond formation.

@article{Szczygiel2015PercolationTF, title={Percolation thresholds for discrete-continuous models with nonuniform probabilities of bond formation.}, author={Bartlomiej Szczygiel and Marek Dudynski and Kamil Kwiatkowski and Maciej Lewenstein and G John Lapeyre and Jan Wehr}, journal={Physical review. E}, year={2015}, volume={93 2}, pages={ 022127 } }

We introduce a class of discrete-continuous percolation models and an efficient Monte Carlo algorithm for computing their properties. The class is general enough to include well-known discrete and continuous models as special cases. We focus on a particular example of such a model, a nanotube model of disintegration of activated carbon. We calculate its exact critical threshold in two dimensions and obtain a Monte Carlo estimate in three dimensions. Furthermore, we use this example to analyze…

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