Percolation of dimers on square lattices

Autores
Lebrecht, W.; Valdes, J. F.; Vogel, E. E.; Nieto Quintas, Felix Daniel; Ramirez Pastor, Antonio Jose
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A theoretical approach, based on exact calculations of configurations on finite rectangular cells, is applied to study the percolation of homonuclear dimers on square lattices. An efficient algorithm allows us to calculate the detailed structure of the configuration space for M=Lx×Ly cells, with M varying from 16 to 36. The percolation process has 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 sites. The percolation threshold has been calculated by means of two complementary methods: one based on well-known renormalization techniques and the other based on determining the inflection point of the percolation function curves. A comparison of the results obtained by these two methods has been performed. The study includes the use of finite-size scaling theory to extrapolate numerical results towards the thermodynamic limit. The effect of jamming due to dimers is also established. Finally, the critical exponents ν, β and γ have been obtained and values compared with numerical results and expected theoretical estimations. The present results show agreement and even improvement (in the case of γ) with respect to some numeric values available in the literature.
Fil: Lebrecht, W.. Universidad de La Frontera. Departamento de Física; Chile
Fil: Valdes, J. F.. Universidad de La Frontera. Departamento de Física; Chile
Fil: Vogel, E. E.. Universidad de La Frontera. Departamento de Física; Chile
Fil: Nieto Quintas, Felix Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; Argentina
Fil: Ramirez Pastor, Antonio Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; Argentina
Materia
Percolation
Multisite Occupancy
Critical Exponents
Scaling Phenomena
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/5668
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Percolation of dimers on square latticesLebrecht, W.Valdes, J. F.Vogel, E. E.Nieto Quintas, Felix DanielRamirez Pastor, Antonio JosePercolationMultisite OccupancyCritical ExponentsScaling Phenomenahttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1A theoretical approach, based on exact calculations of configurations on finite rectangular cells, is applied to study the percolation of homonuclear dimers on square lattices. An efficient algorithm allows us to calculate the detailed structure of the configuration space for M=Lx×Ly cells, with M varying from 16 to 36. The percolation process has 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 sites. The percolation threshold has been calculated by means of two complementary methods: one based on well-known renormalization techniques and the other based on determining the inflection point of the percolation function curves. A comparison of the results obtained by these two methods has been performed. The study includes the use of finite-size scaling theory to extrapolate numerical results towards the thermodynamic limit. The effect of jamming due to dimers is also established. Finally, the critical exponents ν, β and γ have been obtained and values compared with numerical results and expected theoretical estimations. The present results show agreement and even improvement (in the case of γ) with respect to some numeric values available in the literature.Fil: Lebrecht, W.. Universidad de La Frontera. Departamento de Física; ChileFil: Valdes, J. F.. Universidad de La Frontera. Departamento de Física; ChileFil: Vogel, E. E.. Universidad de La Frontera. Departamento de Física; ChileFil: Nieto Quintas, Felix Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; ArgentinaFil: Ramirez Pastor, Antonio Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; ArgentinaElsevier2013-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/5668Lebrecht, W.; Valdes, J. F.; Vogel, E. E.; Nieto Quintas, Felix Daniel; Ramirez Pastor, Antonio Jose; Percolation of dimers on square lattices; Elsevier; Physica A: Statistical Mechanics and its Applications; 392; 1; 1-2013; 149-1560378-4371enginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0378437112008072info:eu-repo/semantics/altIdentifier/doi/info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2012.08.014info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:56:07Zoai:ri.conicet.gov.ar:11336/5668instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:56:07.496CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Percolation of dimers on square lattices
title Percolation of dimers on square lattices
spellingShingle Percolation of dimers on square lattices
Lebrecht, W.
Percolation
Multisite Occupancy
Critical Exponents
Scaling Phenomena
title_short Percolation of dimers on square lattices
title_full Percolation of dimers on square lattices
title_fullStr Percolation of dimers on square lattices
title_full_unstemmed Percolation of dimers on square lattices
title_sort Percolation of dimers on square lattices
dc.creator.none.fl_str_mv Lebrecht, W.
Valdes, J. F.
Vogel, E. E.
Nieto Quintas, Felix Daniel
Ramirez Pastor, Antonio Jose
author Lebrecht, W.
author_facet Lebrecht, W.
Valdes, J. F.
Vogel, E. E.
Nieto Quintas, Felix Daniel
Ramirez Pastor, Antonio Jose
author_role author
author2 Valdes, J. F.
Vogel, E. E.
Nieto Quintas, Felix Daniel
Ramirez Pastor, Antonio Jose
author2_role author
author
author
author
dc.subject.none.fl_str_mv Percolation
Multisite Occupancy
Critical Exponents
Scaling Phenomena
topic Percolation
Multisite Occupancy
Critical Exponents
Scaling Phenomena
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A theoretical approach, based on exact calculations of configurations on finite rectangular cells, is applied to study the percolation of homonuclear dimers on square lattices. An efficient algorithm allows us to calculate the detailed structure of the configuration space for M=Lx×Ly cells, with M varying from 16 to 36. The percolation process has 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 sites. The percolation threshold has been calculated by means of two complementary methods: one based on well-known renormalization techniques and the other based on determining the inflection point of the percolation function curves. A comparison of the results obtained by these two methods has been performed. The study includes the use of finite-size scaling theory to extrapolate numerical results towards the thermodynamic limit. The effect of jamming due to dimers is also established. Finally, the critical exponents ν, β and γ have been obtained and values compared with numerical results and expected theoretical estimations. The present results show agreement and even improvement (in the case of γ) with respect to some numeric values available in the literature.
Fil: Lebrecht, W.. Universidad de La Frontera. Departamento de Física; Chile
Fil: Valdes, J. F.. Universidad de La Frontera. Departamento de Física; Chile
Fil: Vogel, E. E.. Universidad de La Frontera. Departamento de Física; Chile
Fil: Nieto Quintas, Felix Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; Argentina
Fil: Ramirez Pastor, Antonio Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; Argentina
description A theoretical approach, based on exact calculations of configurations on finite rectangular cells, is applied to study the percolation of homonuclear dimers on square lattices. An efficient algorithm allows us to calculate the detailed structure of the configuration space for M=Lx×Ly cells, with M varying from 16 to 36. The percolation process has 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 sites. The percolation threshold has been calculated by means of two complementary methods: one based on well-known renormalization techniques and the other based on determining the inflection point of the percolation function curves. A comparison of the results obtained by these two methods has been performed. The study includes the use of finite-size scaling theory to extrapolate numerical results towards the thermodynamic limit. The effect of jamming due to dimers is also established. Finally, the critical exponents ν, β and γ have been obtained and values compared with numerical results and expected theoretical estimations. The present results show agreement and even improvement (in the case of γ) with respect to some numeric values available in the literature.
publishDate 2013
dc.date.none.fl_str_mv 2013-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/5668
Lebrecht, W.; Valdes, J. F.; Vogel, E. E.; Nieto Quintas, Felix Daniel; Ramirez Pastor, Antonio Jose; Percolation of dimers on square lattices; Elsevier; Physica A: Statistical Mechanics and its Applications; 392; 1; 1-2013; 149-156
0378-4371
url http://hdl.handle.net/11336/5668
identifier_str_mv Lebrecht, W.; Valdes, J. F.; Vogel, E. E.; Nieto Quintas, Felix Daniel; Ramirez Pastor, Antonio Jose; Percolation of dimers on square lattices; Elsevier; Physica A: Statistical Mechanics and its Applications; 392; 1; 1-2013; 149-156
0378-4371
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0378437112008072
info:eu-repo/semantics/altIdentifier/doi/
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2012.08.014
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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