Over the years, many variations from the original model have been introduced, some of them with a completely different scaling and universal properties. Here, we are interested in the inverse percolation problem with multiple occupation, which is how the transition is affected by the removal of groups of components from lattices with different features. The process starts with an initial configuration, where all sites are occupied and the system is diluted by randomly removing k correlated sites (needles, tiles, etc) from the surface. The central idea is to find the maximum concentration of occupied sites for which the connectivity disappears. Numerical simulations and finite-size scaling analysis have been carried out to find this particular value, the “inverse” percolation threshold, that determines a well-defined geometrical phase transition in the system. It is observed that the structure of the removed species can lead to jams that cause the loss of the phase transition.
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