# Percolation in Media with Columnar Disorder

@article{Grassberger2017PercolationIM, title={Percolation in Media with Columnar Disorder}, author={Peter Grassberger and Marcelo R. Hilario and Vladas Sidoravicius}, journal={Journal of Statistical Physics}, year={2017}, volume={168}, pages={731-745} }

We study a generalization of site percolation on a simple cubic lattice, where not only single sites are removed randomly, but also entire parallel columns of sites. We show that typical clusters near the percolation transition are very anisotropic, with different scaling exponents for the sizes parallel and perpendicular to the columns. Below the critical point there is a Griffiths phase where cluster size distributions and spanning probabilities in the direction parallel to the columns have…

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