Abstract

LEBRECHT, W  and  GONZALEZ, M.I.. Percolación discreta en redes tridimensionales. Rev. mex. fis. [online]. 2011, vol.57, n.4, pp.344-349. ISSN 0035-001X.

Bond and site percolation on a three-dimensional lattice is studied. A bond (site) is occupied or empty with probability p or 1 - p respectively, for any size N. Through an exact numerical analysis, the different percolating trajectories are obtained as a function of its length L for each three-dimensional cell. A polynomial function ƒ(p,N) associated to bond and site percolation. On each cell is determined, where symmetrical and asymmetrical cells are included in order to calculate the percolation thresholds and the critical exponent v, β and γ for each cell. Applying the finite size scaling techniques, these parameters are obtained in the thermodynamic limit. These results are in a good agreement with the similar ones obtained by means of other procedures and techniques described in literature for three-dimensional lattices.

Keywords : Percolation; percolation threshold; critical exponent.

        · abstract in Spanish     · text in Spanish     · Spanish ( pdf )