Repositorio UFRO · Omeka S

Site-bond percolation on triangular lattices: Monte Carlo simulation and analytical approach

Primer Autor	Gonzalez, M. I.
Co-autores	Centres, P. Lebrecht, W. Ramirez-Pastor, A. J. Nieto, F.
Título	Site-bond percolation on triangular lattices: Monte Carlo simulation and analytical approach
Editorial	ELSEVIER
Revista	PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Lenguaje	en
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 boolean AND B and S boolean OR B) for site-bond percolation are used. In S boolean AND B (S boolean OR 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 boolean AND B and S boolean OR 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. (C) 2013 Elsevier B.V. All rights reserved.
Tipo de Recurso	Artículo original
Description	W.L. is thankful for support from Universidad de la Frontera (Temuco, Chile) under project DIDUFRO, DI13-0102. M.G., P.C., F.N. and A.J.R.P. thank support from Universidad Nacional de San Luis (Argentina) under project 322000, CONICET (Argentina) under project PIP 112-201101-00615 and the National Agency of Scientific and Technological Promotion (Argentina) under project PICT-2010-1466. Partial support from FONDECYT (Chile) under project 1100156, Millennium Scientific Nucleus "Basic and Applied Magnetism" and Center for the Development of Nanoscience and Nanotechnology is also acknowledged. W.L. agradece el apoyo de la Universidad de la Frontera (Temuco, Chile) bajo el proyecto DIDUFRO, DI13-0102. M.G., P.C., F.N. y A.J.R.P. agradecen el apoyo de la Universidad Nacional de San Luis (Argentina) bajo el proyecto 322000, CONICET (Argentina) bajo el proyecto PIP 112-201101-00615 y la Agencia Nacional de Promoción Científica y Tecnológica (Argentina) bajo el proyecto PICT-2010-1466. También se reconoce el apoyo parcial de FONDECYT (Chile) bajo el proyecto 1100156, el Núcleo Científico del Milenio "Magnetismo Básico y Aplicado" y el Centro para el Desarrollo de la Nanociencia y la Nanotecnología.
doi	10.1016/j.physa.2013.09.001
Formato Recurso	pdf
Palabras Claves	Percolation Monte Carlo simulation Phase transitions INCIPIENT SPANNING CLUSTERS 2-DIMENSIONAL LATTICES SQUARE THRESHOLDS NUMBER MODEL Percolación simulación de Monte Carlo transiciones de fase GRUPOS DE APERTURA INCIPIENTE RELIEVES BIDIMENSIONALES CUADRADO UMBRALES NÚMERO MODELO
Ubicación del archivo	http://dx.doi.org/10.1016/j.physa.2013.09.001
Materias	Percolation Monte Carlo simulation Phase transitions INCIPIENT SPANNING CLUSTERS 2-DIMENSIONAL LATTICES SQUARE THRESHOLDS NUMBER MODEL Percolación simulación de Monte Carlo transiciones de fase GRUPOS DE APERTURA INCIPIENTE RELIEVES BIDIMENSIONALES CUADRADO UMBRALES NÚMERO MODELO
Disciplinas de la OCDE	Física de la Materia Condensada Matemáticas Aplicadas
Título de la cita (Recomendado-único)	Site-bond percolation on triangular lattices: Monte Carlo simulation and analytical approach
Revista/Libro	PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Tipo de ruta	hibrida verde
Access Rights	metadata
Derechos de acceso	metadata
Idioma	en
Identificador del recurso (Mandatado-único)	Artículo original
Versión del recurso (Recomendado-único)	versión publicada
Entidad financiadora	UFRO DI13-0102#Universidad Nacional de San Luis (Argentina) 322000#CONICET (Argentina) PIP 112-201101-00615#National Agency of Scientific and Technological Promotion (Argentina) PICT-2010-1466#ANID CONICYT FONDECYT 1100156#Millennium Scientific Nucleus "Basic and Applied Magnetism"#Center for the Development of Nanoscience and Nanotechnology
Referencia del Financiador (Mandatado si es aplicable-repetible)	UFRO DI13-0102 Universidad Nacional de San Luis (Argentina) 322000 CONICET (Argentina) PIP 112-201101-00615 National Agency of Scientific and Technological Promotion (Argentina) PICT-2010-1466 ANID CONICYT FONDECYT 1100156 Millennium Scientific Nucleus "Basic and Applied Magnetism" Center for the Development of Nanoscience and Nanotechnology
Editorial	ELSEVIER
ISSN	0378-4371
Página de inicio (Recomendado-único)	6330
Página final (Recomendado-único)	6340
Categoría WOS	Física multidisciplinaria Physics, Multidisciplinary
Formato	pdf
Id de Web of Science	WOS:000326766400016