Analytical approximation of the site percolation thresholds for monomers and dimers on two-dimensional lattices
| Primer Autor |
Ramirez-Pastor, A. J.
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| Co-autores |
Lebrecht, W.#Centres, P. M.
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| Título |
Analytical approximation of the site percolation thresholds for monomers and dimers on two-dimensional lattices
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| Editorial |
ELSEVIER
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| Revista |
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
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| Lenguaje |
en
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| 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.
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| Tipo de Recurso |
Artículo original
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| 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.
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| doi |
10.1016/j.physa.2018.10.023
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| Formato Recurso |
pdf
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| 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
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| Ubicación del archivo |
http://dx.doi.org/10.1016/j.physa.2018.10.023
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| Categoría OCDE |
Physics, Multidisciplinary
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| 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
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| Id de Web of Science |
WOS:000452941700013
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| Título de la cita (Recomendado-único) |
Analytical approximation of the site percolation thresholds for monomers and dimers on two-dimensional lattices
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| Identificador del recurso (Mandatado-único) |
Artículo original
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| Versión del recurso (Recomendado-único) |
version publicada
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| Editorial |
ELSEVIER
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| Revista/Libro |
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
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| Categoría WOS |
Física, Multidisciplinar
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| ISSN |
0378-4371
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| Idioma |
en
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| Referencia del Financiador (Mandatado si es aplicable-repetible) |
CONICET PIP 112-201101-00615#UNSL 03-0816#ANCyT PICT-2013-1678#UFRO DI17-0024
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| 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.
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| Formato |
pdf
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| Tipo de ruta |
hibrida#verde
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| Access Rights |
metadata
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| Derechos de acceso |
metadata
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| Página de inicio (Recomendado-único) |
3106
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| Página final (Recomendado-único) |
3113
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