Artículo
Analytical approximation of the inverse percolation thresholds for dimers on square, triangular and honeycomb lattices
Fecha de publicación:
08/11/2019
Editorial:
IOP Publishing
Revista:
Journal of Statistical Mechanics: Theory and Experiment
ISSN:
1742-5468
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In this paper, an analytical approach to calculate inverse percolation
thresholds in two-dimensional lattices is proposed. The new theoretical
framework is obtained as a generalization of the analytical approximation
introduced by Rosowsky (2000 Eur. Phys. J. B 15 77), in which the percolating
particles are removed from an initially fully occupied cell. In addition, the
traditional assumption that the calculation cell composed by one central site
and its first and second nearest neighbors is replaced by the assumption that
the cell is composed by two central sites and the corresponding first and second
nearest neighbors. The resulting methodology was applied to calculate the
inverse percolation thresholds corresponding to three systems: dimers removed
from square lattices (pc = 0.5810), dimers removed from honeycomb lattices
(pc = 0.7019) and dimers removed from triangular lattices (pc = 0.5125). The
obtained results are discussed and compared with previous values calculated by
very accurate simulations.
Palabras clave:
PERCOLATION
,
PROBLEMS
,
METHOD
,
ROSOWSKY
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Articulos(INFAP)
Articulos de INST. DE FISICA APLICADA "DR. JORGE ANDRES ZGRABLICH"
Articulos de INST. DE FISICA APLICADA "DR. JORGE ANDRES ZGRABLICH"
Citación
Ramírez, Lucía Soledad; Centres, Paulo Marcelo; Ramirez Pastor, Antonio Jose; Lebrecht, Walter; Analytical approximation of the inverse percolation thresholds for dimers on square, triangular and honeycomb lattices; IOP Publishing; Journal of Statistical Mechanics: Theory and Experiment; 2019; 11; 8-11-2019; 1-21; 113205
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