Abstract

LEBRECHT, W.; GONZALEZ, M. I.  and  VALDES, J. F.. Diagrama de fase sitio-enlace en dímeros. Rev. mex. fis. [online]. 2014, vol.60, n.6, pp.466-472. ISSN 0035-001X.

This paper presents an approximate analytical calculation to characterize the percolation in a system where coexist bonds and sites dimers. A dimer is the simplest representation of individuals who are bound to nearest neighbors. Percolation functions represented by polynomials, obtained by numerical listing of a cell of size N = L_x x L_y for sites and bonds dimers are calculated. In the thermodynamic limit, the percolation threshold for site dimer (bond dimer) is 0.562 (0.486) on a square lattice, values that are in line with their counterparts obtained by numerical simulations. To determine the site-bond phase diagram of dimers on a square lattice, the OR and AND operations associated to the functions of a finite percolation cell are used and performed well with similar results in numerical simulations shown in the literature.

Keywords : Percolation; percolation threshold; phase diagram dimer percolation threshold.

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