https://doi.org/10.1140/epjb/e2005-00064-0
Dimer site-bond percolation on a square lattice
Departamento de Física, Universidad Nacional de San Luis,
CONICET, Chacabuco 917, 5700 San Luis, Argentina
Corresponding author: a antorami@unsl.edu.ar
Received:
27
August
2004
Revised:
6
November
2004
Published online:
15
March
2005
A generalization of the pure site and pure bond percolation problems
in which pairs of nearest neighbor sites (site dimers) and linear
pairs of nearest neighbor bonds (bond dimers) are independently
occupied at random on a square lattice is studied. We called this
model as dimer site-bond percolation. Motivated by considerations of
cluster connectivity, we have used two distinct schemes (denoted as
and 
) for dimer site-bond percolation. In 
(
), two points are said to be connected if a sequence
of occupied sites and (or) bonds joins them. By using
finite-size scaling theory, data from 
and are
analyzed in order to determine i) the phase boundary between the
percolating and non-percolating regions and ii) the numerical
values of the critical exponents of the phase transition occurring
in the system. The results obtained are discussed in comparison with
the corresponding ones for classical monomer site-bond percolation.
PACS: 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions / 68.35.Rh – Phase transitions and critical phenomena / 05.10.Ln – Monte Carlo methods
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005
