Analytical approximation of the site percolation thresholds for monomers and dimers on two-dimensional lattices

Primer Autor
Ramirez-Pastor, A. J.
Co-autores
Lebrecht, W.#Centres, P. M.
Título
Analytical approximation of the site percolation thresholds for monomers and dimers on two-dimensional lattices
Editorial
ELSEVIER
Revista
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Lenguaje
en
Resumen
In this paper, a theoretical approach to calculate site percolation thresholds on two-dimensional lattices is proposed. The method, based on exact counting of configurations on finite cells, arises as a generalization of the analytical approximation introduced by Rosowsky (2000). The resulting methodology was applied to calculate the percolation thresholds corresponding to four systems: monomers on honeycomb lattices (p(c) = 0.71278), dimers on square lattices (p(c) = 0.5713), dimers on honeycomb lattices (p(c) = 0.6653) and dimers on triangular lattices (p(c) = 0.4783). The obtained results are in good agreement with previous values calculated by very accurate simulations: 0.69704, 0.5649, 0.6902 and 0.4872. The technique can be easily extended to deal with three-dimensional lattices. (C) 2018 Elsevier B.V. All rights reserved.
Tipo de Recurso
Artículo original
Description
This work was supported in part by CONICET (Argentina) under project number PIP 112-201101-00615, Universidad Nacional de San Luis (Argentina) under project 03-0816, and the National Agency of Scientific and Technological Promotion (Argentina) under project PICT-2013-1678. WL thanks support from Direccion de Investigacion Universidad de La Frontera (Chile), under projet DIUFRO No DI17-0024.
doi
10.1016/j.physa.2018.10.023
Formato Recurso
pdf
Palabras Claves
Statistical mechanics of model systems# Random sequential adsorption (RSA)# Multisite-occupancy# Percolation# Computational methods in statistical# physics and nonlinear dynamics
Statistical mechanics of model systems# Random sequential adsorption (RSA)# Multisite-occupancy# Percolation# Computational methods in statistical# physics and nonlinear dynamics
Ubicación del archivo
http://dx.doi.org/10.1016/j.physa.2018.10.023
Categoría OCDE
Physics, Multidisciplinary
Materias
Mecánica estadística de sistemas modelo# Adsorción secuencial aleatoria (RSA)# Ocupación de sitios múltiples# Filtración# Métodos computacionales en estadística# física y dinámica no lineal
Mecánica estadística de sistemas modelo# Adsorción secuencial aleatoria (RSA)# Ocupación de sitios múltiples# Filtración# Métodos computacionales en estadística# física y dinámica no lineal
Id de Web of Science
WOS:000452941700013
Título de la cita (Recomendado-único)
Analytical approximation of the site percolation thresholds for monomers and dimers on two-dimensional lattices
Identificador del recurso (Mandatado-único)
Artículo original
Versión del recurso (Recomendado-único)
version publicada
Editorial
ELSEVIER
Revista/Libro
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Categoría WOS
Física, Multidisciplinar
ISSN
0378-4371
Idioma
en
Referencia del Financiador (Mandatado si es aplicable-repetible)
CONICET PIP 112-201101-00615#UNSL 03-0816#ANCyT PICT-2013-1678#UFRO DI17-0024
Descripción
This work was supported in part by CONICET (Argentina) under project number PIP 112-201101-00615, Universidad Nacional de San Luis (Argentina) under project 03-0816, and the National Agency of Scientific and Technological Promotion (Argentina) under project PICT-2013-1678. WL thanks support from Direccion de Investigacion Universidad de La Frontera (Chile), under projet DIUFRO No DI17-0024.
Formato
pdf
Tipo de ruta
hibrida#verde
Access Rights
metadata
Derechos de acceso
metadata
Página de inicio (Recomendado-único)
3106
Página final (Recomendado-único)
3113
Revisa las metricas alternativas de Almetrics
Revisa las citaciones de Dimensions