Site trimer percolation on square lattices

Autores
Lebrecht, W.; Vogel, E. E.; Valdés, J. F.; Ramirez Pastor, Antonio Jose; Centres, Paulo Marcelo; Gonzalez Flores, Mariela Isabel; Nieto Quintas, Felix Daniel
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Percolation of site trimers (k-mers with k = 3) is investigated in a detailed way making use of an analyticalmodel based on renormalization techniques in this problem. Results are compared to those obtained here bymeans of extensive computer simulations. Five different deposition possibilities for site trimers are includedaccording to shape and orientation of the depositing objects. Analytical results for the percolation threshold pcare all close to 0.55, while numerical results show a slight dispersion around this value. A comparison with pcvalues previously reported for monomers and dimers establishes the tendency of pc to decrease as k increases.Critical exponent ν was also obtained both by analytical and numerical methods. Results for the latter give valuesvery close to the expected value 4/3 showing that this percolation case corresponds to the universality class ofrandom percolation.
Fil: Lebrecht, W.. Universidad de la Frontera. Núcleo Científico y Tecnológico En Recursos Naturales; Chile
Fil: Vogel, E. E.. Universidad de la Frontera. Núcleo Científico y Tecnológico En Recursos Naturales; Chile
Fil: Valdés, J. F.. Universidad de la Frontera. Núcleo Científico y Tecnológico En Recursos Naturales; Chile
Fil: Ramirez Pastor, Antonio Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; Argentina
Fil: Centres, Paulo Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; Argentina
Fil: Gonzalez Flores, Mariela Isabel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; Argentina
Fil: Nieto Quintas, Felix Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; Argentina
Materia
Percolation Thresholds
Trimer
Renormalization
Universality Class
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/14605
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Site trimer percolation on square latticesLebrecht, W.Vogel, E. E.Valdés, J. F.Ramirez Pastor, Antonio JoseCentres, Paulo MarceloGonzalez Flores, Mariela IsabelNieto Quintas, Felix DanielPercolation ThresholdsTrimerRenormalizationUniversality Classhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Percolation of site trimers (k-mers with k = 3) is investigated in a detailed way making use of an analyticalmodel based on renormalization techniques in this problem. Results are compared to those obtained here bymeans of extensive computer simulations. Five different deposition possibilities for site trimers are includedaccording to shape and orientation of the depositing objects. Analytical results for the percolation threshold pcare all close to 0.55, while numerical results show a slight dispersion around this value. A comparison with pcvalues previously reported for monomers and dimers establishes the tendency of pc to decrease as k increases.Critical exponent ν was also obtained both by analytical and numerical methods. Results for the latter give valuesvery close to the expected value 4/3 showing that this percolation case corresponds to the universality class ofrandom percolation.Fil: Lebrecht, W.. Universidad de la Frontera. Núcleo Científico y Tecnológico En Recursos Naturales; ChileFil: Vogel, E. E.. Universidad de la Frontera. Núcleo Científico y Tecnológico En Recursos Naturales; ChileFil: Valdés, J. F.. Universidad de la Frontera. Núcleo Científico y Tecnológico En Recursos Naturales; ChileFil: Ramirez Pastor, Antonio Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; ArgentinaFil: Centres, Paulo Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; ArgentinaFil: Gonzalez Flores, Mariela Isabel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; ArgentinaFil: Nieto Quintas, Felix Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; ArgentinaAmerican Physical Society2015-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/14605Lebrecht, W.; Vogel, E. E.; Valdés, J. F.; Ramirez Pastor, Antonio Jose; Centres, Paulo Marcelo; et al.; Site trimer percolation on square lattices; American Physical Society; Physical Review E: Statistical, Nonlinear And Soft Matter Physics; 92; 1; 7-2015; 1-10;012129-0121291539-3755enginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.012129info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.92.012129info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:24:36Zoai:ri.conicet.gov.ar:11336/14605instacron: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:34982025-10-22 11:24:36.398CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Site trimer percolation on square lattices
title Site trimer percolation on square lattices
spellingShingle Site trimer percolation on square lattices
Lebrecht, W.
Percolation Thresholds
Trimer
Renormalization
Universality Class
title_short Site trimer percolation on square lattices
title_full Site trimer percolation on square lattices
title_fullStr Site trimer percolation on square lattices
title_full_unstemmed Site trimer percolation on square lattices
title_sort Site trimer percolation on square lattices
dc.creator.none.fl_str_mv Lebrecht, W.
Vogel, E. E.
Valdés, J. F.
Ramirez Pastor, Antonio Jose
Centres, Paulo Marcelo
Gonzalez Flores, Mariela Isabel
Nieto Quintas, Felix Daniel
author Lebrecht, W.
author_facet Lebrecht, W.
Vogel, E. E.
Valdés, J. F.
Ramirez Pastor, Antonio Jose
Centres, Paulo Marcelo
Gonzalez Flores, Mariela Isabel
Nieto Quintas, Felix Daniel
author_role author
author2 Vogel, E. E.
Valdés, J. F.
Ramirez Pastor, Antonio Jose
Centres, Paulo Marcelo
Gonzalez Flores, Mariela Isabel
Nieto Quintas, Felix Daniel
author2_role author
author
author
author
author
author
dc.subject.none.fl_str_mv Percolation Thresholds
Trimer
Renormalization
Universality Class
topic Percolation Thresholds
Trimer
Renormalization
Universality Class
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Percolation of site trimers (k-mers with k = 3) is investigated in a detailed way making use of an analyticalmodel based on renormalization techniques in this problem. Results are compared to those obtained here bymeans of extensive computer simulations. Five different deposition possibilities for site trimers are includedaccording to shape and orientation of the depositing objects. Analytical results for the percolation threshold pcare all close to 0.55, while numerical results show a slight dispersion around this value. A comparison with pcvalues previously reported for monomers and dimers establishes the tendency of pc to decrease as k increases.Critical exponent ν was also obtained both by analytical and numerical methods. Results for the latter give valuesvery close to the expected value 4/3 showing that this percolation case corresponds to the universality class ofrandom percolation.
Fil: Lebrecht, W.. Universidad de la Frontera. Núcleo Científico y Tecnológico En Recursos Naturales; Chile
Fil: Vogel, E. E.. Universidad de la Frontera. Núcleo Científico y Tecnológico En Recursos Naturales; Chile
Fil: Valdés, J. F.. Universidad de la Frontera. Núcleo Científico y Tecnológico En Recursos Naturales; Chile
Fil: Ramirez Pastor, Antonio Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; Argentina
Fil: Centres, Paulo Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; Argentina
Fil: Gonzalez Flores, Mariela Isabel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; Argentina
Fil: Nieto Quintas, Felix Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; Argentina
description Percolation of site trimers (k-mers with k = 3) is investigated in a detailed way making use of an analyticalmodel based on renormalization techniques in this problem. Results are compared to those obtained here bymeans of extensive computer simulations. Five different deposition possibilities for site trimers are includedaccording to shape and orientation of the depositing objects. Analytical results for the percolation threshold pcare all close to 0.55, while numerical results show a slight dispersion around this value. A comparison with pcvalues previously reported for monomers and dimers establishes the tendency of pc to decrease as k increases.Critical exponent ν was also obtained both by analytical and numerical methods. Results for the latter give valuesvery close to the expected value 4/3 showing that this percolation case corresponds to the universality class ofrandom percolation.
publishDate 2015
dc.date.none.fl_str_mv 2015-07
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/11336/14605
Lebrecht, W.; Vogel, E. E.; Valdés, J. F.; Ramirez Pastor, Antonio Jose; Centres, Paulo Marcelo; et al.; Site trimer percolation on square lattices; American Physical Society; Physical Review E: Statistical, Nonlinear And Soft Matter Physics; 92; 1; 7-2015; 1-10;012129-012129
1539-3755
url http://hdl.handle.net/11336/14605
identifier_str_mv Lebrecht, W.; Vogel, E. E.; Valdés, J. F.; Ramirez Pastor, Antonio Jose; Centres, Paulo Marcelo; et al.; Site trimer percolation on square lattices; American Physical Society; Physical Review E: Statistical, Nonlinear And Soft Matter Physics; 92; 1; 7-2015; 1-10;012129-012129
1539-3755
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.012129
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.92.012129
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
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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score 12.982451

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