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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/14605
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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 Técnicas2025-09-29T09:55:28Zoai: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:34982025-09-29 09:55:28.689CONICET 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/ |
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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 |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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