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Percolation of randomly distributed growing clusters: Finite-size scaling and critical exponents for the square lattice

Percolation of randomly distributed growing clusters: Finite-size scaling and critical exponents for the square lattice

We study the percolation properties of the growing clusters model on a 2D square lattice. In this model, a number of seeds placed on random locations on the lattice are allowed to grow with a constant velocity to form clusters. When two or more clusters eventually touch each other they …