Marrink, SKnackstedt, Mark2015-12-132015-12-131063-651Xhttp://hdl.handle.net/1885/89528Shifting of percolation threshold of an elongated lattice towards higher values is shown by the statistical arguments. The scaling behavior of the lattices is confirmed by the Monte carlo simulations. The density of the incipient cluster at the percolation threshold scales differs in both two and three dimensions. Percolation probability in the elongated geometry depends on the aspect ratio of the lattice. In three dimensions, the connection probability is smaller than the percolation probability.Keywords: Aspect ratio; Computer simulation; Crystal lattices; Geometry; Monte Carlo methods; Probability distributions; Statistical mechanics; Connection probability; Elongated lattices; Finite size scaling; Percolation density; Percolation threshold scales; Scali200010.1103/PhysRevE.62.32052015-12-12