Pecolation of polyatomic species ona simple cubic lattice

G. D. GARCIA; F. O. SANCHEZ-VARRETTI; P. M. CENTRES; A. J. RAMIREZ-PASTOR

Villa Carlos Paz, Cordoba

Workshop; XII Latin american Workshop on Monlinear Phenomena; 2013

In the present paper, the site-percolation problem corresponding to linear k-mers (containing k identical units, each one occupying a lattice site) on a simple cubic lattice has been studied. The k-mers were irreversibly and isotropically deposited into the lattice. Then, the percolation threshold and critical exponents were obtained by numerical simulations and nite-size scaling theory. The results, obtained for k ranging from 1 to 64, revealed that (i) the percolation threshold exhibits a decreasing function when it is plotted as a function of the k-mer size; and (ii) the phase transition occurring in the system belongs to the standard 3D percolation universality class regardless of the value of k considered.