INVESTIGADORES
RAMIREZ PASTOR antonio Jose
artículos
Título:
Site- bond percolation on triangular lattices: Monte Carlo simulation and analytical approach
Autor/es:
GONZALEZ FLORES M.; CENTRES P. M.; LEBRECHT W.; RAMIREZ PASTOR A. J.; NIETO F.
Revista:
PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Lugar: Amsterdam; Año: 2013 vol. 392 p. 6330 - 6340
ISSN:
0378-4371
Resumen:
A generalization of the pure site
and pure bond percolation problems called site?bond percolation on a triangular lattice
is studied. Motivated by considerations of cluster connectivity, two distinct schemes
(denoted as S ∩ B and S U B) for site?bond percolation are used. In S ∩B (S U B), 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 S ∩ B and S U B 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.
A theoretical approach, based on exact calculations of configurations on finite
triangular cells, is applied to study the site?bond percolation on triangular lattices. The
percolation processes have been monitored by following the percolation function, defined as the
ratio between the number of percolating configurations and the total number of available
configurations for a given cell size and concentration of occupied elements. A comparison of
the results obtained by these two methods has been performed and discussed.