Percolation of defective dimers irreversibly deposited on honeycomb, square and triangular lattices.

PAULO CENTRES; M. CECILIA GIMÉNEZ; ANTONIO J. RAMIREZ-PASTOR

Buenos Aires

Congreso; Statphys 27; 2019

UBA

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).