Congreso
Autoría
Paulo Centres
;
M. Cecilia Giménez
;
Antonio J. Ramirez-Pastor
Fecha
2019
Editorial y Lugar de Edición
organización del Statphys
Resumen
Información suministrada por el agente en
SIGEVA
The percolation problem of irreversibly deposited heteronuclear dimers on square, honeycomb and triangular lattices is studied [1-3]. Also, a generalization of the site-bond percolation problem was treated, in which pairs of neighboring sites (site dimers) and bonds are occupied irreversibly, randomly, and independently on the surface. A dimer is composed of two segments, and it occupies two adjacent lattice sites. Each segment can be either a conductive segment (segment type A) or a nonconduct...
The percolation problem of irreversibly deposited heteronuclear dimers on square, honeycomb and triangular lattices is studied [1-3]. Also, a generalization of the site-bond percolation problem was treated, in which pairs of neighboring sites (site dimers) and bonds are occupied irreversibly, randomly, and independently on the surface. A dimer is composed of two segments, and it occupies two adjacent lattice sites. Each segment can be either a conductive segment (segment type A) or a nonconductive segment (segment type B). Three types of dimers are considered: AA, BB, and AB. The connectivity analysis is carried out by accounting only for the conductive segments (segments type A), whereas the B segments occupy a site in the lattice but are not taken into account in the percolation study. For the combination of dimers and bonds, two different criteria were analyzed: the union or the intersection between the adsorbed percolating particles and the bonds. By means of numerical simulations and finite-size scaling analysis, the complete phase diagram separating a percolating from a nonpercolating region was determined for each case. In order to analyze the universality of the studied systems, the critical exponents were also calculated. [1] Percolation of heteronuclear dimers irreversibly deposited on square lattices, M. C. Gimenez and A. J. Ramirez-Pastor, PHYSICAL REVIEW E 94, 032129 (2016). [2] Site-bond percolation of heteronuclear dimers irreversibly deposited on square lattices, P. M. Centres, A. J. Ramirez-Pastor and M. C. Gimenez, PHYSICAL REVIEW E 96, 062136 (2017). [3] Percolation of defective dimers irreversibly deposited on honeycomb and triangular lattices, P. M. Centres, A. J. Ramirez-Pastor and M. C. Gimenez, PHYSICAL REVIEW E 98, 052121 (2018).
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Palabras Clave
DIMERSPERCOLATIONSURFACESDEFECTIVE