Diagrama de fase sitio-enlace en dímeros

W. Lebrecht, M. I, J. F


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 $N=L_x \times L_y$ 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.


Percolation; percolation threshold; phase diagram dimer percolation threshold

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REVISTA MEXICANA DE FÍSICA, year 67, issue 2, March-April 2021. Bimonthly Journal published by Sociedad Mexicana de Física, A. C. Departamento de Física, 2º Piso, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Alcaldía Coyacán, C.P. 04510 , Ciudad de México. Apartado Postal 70-348. Tel. (+52)55-5622-4946, https://rmf.smf.mx/ojs/rmf, e-mail: rmf@ciencias.unam.mx. Chief Editor: José Alejandro Ayala Mercado. INDAUTOR Certificate of Reserve: 04-2019-080216404400-203, ISSN: 2683-2224 (on line), 0035-001X (print), both granted by Instituto Nacional del Derecho de Autor. Responsible for the last update of this issue, Technical Staff of Sociedad Mexicana de Física, A. C., Fís. Efraín Garrido Román, 2º. Piso, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, Alcaldía Coyacán, C.P. 04510 , Ciudad de México. Date of last modification, March 1st., 2021.

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