Bond dimer percolation on square lattices

Percolation due to the simultaneous occupation of two neighboring bond sites, namely a bond dimer, is considered here by means of the renormalization cell technique providing an analytic way to obtain results such as percolation threshold, jamming coverage and critical exponents. This is complementa...

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Autores: Lebrecht, W., Valdes, J., Vogel, E. E., Nieto Quintas, Felix Daniel, Ramirez Pastor, Antonio Jose
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/5658
Acceso en línea:http://hdl.handle.net/11336/5658
Access Level:acceso abierto
Palabra clave:Percolation
Bond Dimer
Critical Exponents
Scaling Techniques
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
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spelling Bond dimer percolation on square latticesLebrecht, W.Valdes, J.Vogel, E. E.Nieto Quintas, Felix DanielRamirez Pastor, Antonio JosePercolationBond DimerCritical ExponentsScaling Techniqueshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Percolation due to the simultaneous occupation of two neighboring bond sites, namely a bond dimer, is considered here by means of the renormalization cell technique providing an analytic way to obtain results such as percolation threshold, jamming coverage and critical exponents. This is complementary to previous numerical studies and extends the validation of the renormalization cell technique. Four different bond dimer depositions are considered: nematic, straight, angular and tortuous; results for each of them are given and analyzed separately. Size of the cells is varied. These results are combined with means of finite size scaling to obtain tendencies towards the thermodynamic limit. It is observed that the percolation threshold is reached at lower concentrations than for monomeric bond percolation establishing a trend for correlated bond percolation similar to the one already established for site dimer percolation. Two different techniques are used to obtain the percolation threshold getting results that are in good agreement with numerical simulations; similarly acceptable results for jamming coverage are obtained. Values for critical exponents are also in good agreement with those reported by means of numerical techniques.Fil: Lebrecht, W.. Universidad de La Frontera. Departamento de Física; ChileFil: Valdes, J.. Universidad de La Frontera. Departamento de Física; ChileFil: Vogel, E. E.. Universidad de La Frontera. Departamento de Física; ChileFil: Nieto Quintas, Felix Daniel. Universidad Nacional de San Luis. Facultad de Cs.fisico Matematicas y Naturales. Departamento de Fisica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; ArgentinaFil: Ramirez Pastor, Antonio Jose. Universidad Nacional de San Luis. Facultad de Cs.fisico Matematicas y Naturales. Departamento de Fisica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; ArgentinaElsevier2014-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/5658Lebrecht, W.; Valdes, J.; Vogel, E. E.; Nieto Quintas, Felix Daniel; Ramirez Pastor, Antonio Jose; Bond dimer percolation on square lattices; Elsevier; Physica A: Statistical Mechanics and its Applications; 398; 1-2014; 234-2420378-4371enginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S037843711301162Xinfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2013.12.038info:eu-repo/semantics/altIdentifier/doi/info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T14:09:35Zoai:ri.conicet.gov.ar:11336/5658instacron: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:34982024-05-08 14:09:36.146CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Bond dimer percolation on square lattices
title Bond dimer percolation on square lattices
spellingShingle Bond dimer percolation on square lattices
Lebrecht, W.
Percolation
Bond Dimer
Critical Exponents
Scaling Techniques
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
title_short Bond dimer percolation on square lattices
title_full Bond dimer percolation on square lattices
title_fullStr Bond dimer percolation on square lattices
title_full_unstemmed Bond dimer percolation on square lattices
title_sort Bond dimer percolation on square lattices
dc.creator.none.fl_str_mv Lebrecht, W.
Valdes, J.
Vogel, E. E.
Nieto Quintas, Felix Daniel
Ramirez Pastor, Antonio Jose
author Lebrecht, W.
author_facet Lebrecht, W.
Valdes, J.
Vogel, E. E.
Nieto Quintas, Felix Daniel
Ramirez Pastor, Antonio Jose
author_role author
author2 Valdes, J.
Vogel, E. E.
Nieto Quintas, Felix Daniel
Ramirez Pastor, Antonio Jose
author2_role author
author
author
author
dc.subject.none.fl_str_mv Percolation
Bond Dimer
Critical Exponents
Scaling Techniques
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
topic Percolation
Bond Dimer
Critical Exponents
Scaling Techniques
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
description Percolation due to the simultaneous occupation of two neighboring bond sites, namely a bond dimer, is considered here by means of the renormalization cell technique providing an analytic way to obtain results such as percolation threshold, jamming coverage and critical exponents. This is complementary to previous numerical studies and extends the validation of the renormalization cell technique. Four different bond dimer depositions are considered: nematic, straight, angular and tortuous; results for each of them are given and analyzed separately. Size of the cells is varied. These results are combined with means of finite size scaling to obtain tendencies towards the thermodynamic limit. It is observed that the percolation threshold is reached at lower concentrations than for monomeric bond percolation establishing a trend for correlated bond percolation similar to the one already established for site dimer percolation. Two different techniques are used to obtain the percolation threshold getting results that are in good agreement with numerical simulations; similarly acceptable results for jamming coverage are obtained. Values for critical exponents are also in good agreement with those reported by means of numerical techniques.
publishDate 2014
dc.date.none.fl_str_mv 2014-01
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/11336/5658
Lebrecht, W.; Valdes, J.; Vogel, E. E.; Nieto Quintas, Felix Daniel; Ramirez Pastor, Antonio Jose; Bond dimer percolation on square lattices; Elsevier; Physica A: Statistical Mechanics and its Applications; 398; 1-2014; 234-242
0378-4371
url http://hdl.handle.net/11336/5658
identifier_str_mv Lebrecht, W.; Valdes, J.; Vogel, E. E.; Nieto Quintas, Felix Daniel; Ramirez Pastor, Antonio Jose; Bond dimer percolation on square lattices; Elsevier; Physica A: Statistical Mechanics and its Applications; 398; 1-2014; 234-242
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/S037843711301162X
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2013.12.038
info:eu-repo/semantics/altIdentifier/doi/
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
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
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
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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score 15,81155

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