Percolation and jamming in random sequential adsorption of linear k-mers on square lattices with the presence of impurities

Autores
Centres, Paulo Marcelo; Ramirez Pastor, Antonio Jose
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Percolation and jamming of linear k-mers (particles occupying k adjacent sites) on two-dimensional square lattices with impurities have been studied by numerical simulations and finite-size scaling analysis. The model offers a simplified representation of the problem of percolation in amorphous solids, where the presence of defects in the system is simulated by introducing a fraction of imperfect bonds ρ, which are considered forbidden for deposition.The dependence of percolation and jamming thresholds on the concentration of defects was investigated for dierent values of k, ranging from 2 to 64. Theresults obtained show that: for each fixed value of k, percolation can occur when ρ is smaller than a certain value ρ*_k; and in the range 0<ρ<ρ*_k, the percolation threshold is practically independent of the fraction of defects. The behavior of ρ*_k as a function of k indicates that the percolation of linear k-mers on square lattices is impossible even for an ideal lattice if k ⪆ 5500. Critical exponents were also calculated to show that the universality class corresponding to ordinary percolation is preserved.
Fil: Centres, Paulo Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; Argentina. Universidad Nacional de San Luis; Argentina
Fil: Ramirez Pastor, Antonio Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; Argentina. Universidad Nacional de San Luis; Argentina
Materia
Percolation Problems
Jamming Problems
Linear K-Mers
Disordered Lattices
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:11336/14206
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Percolation and jamming in random sequential adsorption of linear k-mers on square lattices with the presence of impuritiesCentres, Paulo MarceloRamirez Pastor, Antonio JosePercolation ProblemsJamming ProblemsLinear K-MersDisordered Latticeshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Percolation and jamming of linear k-mers (particles occupying k adjacent sites) on two-dimensional square lattices with impurities have been studied by numerical simulations and finite-size scaling analysis. The model offers a simplified representation of the problem of percolation in amorphous solids, where the presence of defects in the system is simulated by introducing a fraction of imperfect bonds ρ, which are considered forbidden for deposition.The dependence of percolation and jamming thresholds on the concentration of defects was investigated for dierent values of k, ranging from 2 to 64. Theresults obtained show that: for each fixed value of k, percolation can occur when ρ is smaller than a certain value ρ*_k; and in the range 0<ρ<ρ*_k, the percolation threshold is practically independent of the fraction of defects. The behavior of ρ*_k as a function of k indicates that the percolation of linear k-mers on square lattices is impossible even for an ideal lattice if k ⪆ 5500. Critical exponents were also calculated to show that the universality class corresponding to ordinary percolation is preserved.Fil: Centres, Paulo Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; Argentina. Universidad Nacional de San Luis; ArgentinaFil: Ramirez Pastor, Antonio Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; Argentina. Universidad Nacional de San Luis; ArgentinaIop Publishing2015-10info: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/11336/14206Centres, Paulo Marcelo; Ramirez Pastor, Antonio Jose; Percolation and jamming in random sequential adsorption of linear k-mers on square lattices with the presence of impurities; Iop Publishing; Journal Of Statistical Mechanics: Theory And Experiment; 2015; 10-2015; 1-181742-5468enginfo:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/1742-5468/2015/10/P10011/metainfo:eu-repo/semantics/altIdentifier/doi/10.1088/1742-5468/2015/10/P10011info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:54:43Zoai:ri.conicet.gov.ar:11336/14206instacron: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:34982025-09-03 09:54:43.687CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Percolation and jamming in random sequential adsorption of linear k-mers on square lattices with the presence of impurities
title Percolation and jamming in random sequential adsorption of linear k-mers on square lattices with the presence of impurities
spellingShingle Percolation and jamming in random sequential adsorption of linear k-mers on square lattices with the presence of impurities
Centres, Paulo Marcelo
Percolation Problems
Jamming Problems
Linear K-Mers
Disordered Lattices
title_short Percolation and jamming in random sequential adsorption of linear k-mers on square lattices with the presence of impurities
title_full Percolation and jamming in random sequential adsorption of linear k-mers on square lattices with the presence of impurities
title_fullStr Percolation and jamming in random sequential adsorption of linear k-mers on square lattices with the presence of impurities
title_full_unstemmed Percolation and jamming in random sequential adsorption of linear k-mers on square lattices with the presence of impurities
title_sort Percolation and jamming in random sequential adsorption of linear k-mers on square lattices with the presence of impurities
dc.creator.none.fl_str_mv Centres, Paulo Marcelo
Ramirez Pastor, Antonio Jose
author Centres, Paulo Marcelo
author_facet Centres, Paulo Marcelo
Ramirez Pastor, Antonio Jose
author_role author
author2 Ramirez Pastor, Antonio Jose
author2_role author
dc.subject.none.fl_str_mv Percolation Problems
Jamming Problems
Linear K-Mers
Disordered Lattices
topic Percolation Problems
Jamming Problems
Linear K-Mers
Disordered Lattices
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 and jamming of linear k-mers (particles occupying k adjacent sites) on two-dimensional square lattices with impurities have been studied by numerical simulations and finite-size scaling analysis. The model offers a simplified representation of the problem of percolation in amorphous solids, where the presence of defects in the system is simulated by introducing a fraction of imperfect bonds ρ, which are considered forbidden for deposition.The dependence of percolation and jamming thresholds on the concentration of defects was investigated for dierent values of k, ranging from 2 to 64. Theresults obtained show that: for each fixed value of k, percolation can occur when ρ is smaller than a certain value ρ*_k; and in the range 0<ρ<ρ*_k, the percolation threshold is practically independent of the fraction of defects. The behavior of ρ*_k as a function of k indicates that the percolation of linear k-mers on square lattices is impossible even for an ideal lattice if k ⪆ 5500. Critical exponents were also calculated to show that the universality class corresponding to ordinary percolation is preserved.
Fil: Centres, Paulo Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; Argentina. Universidad Nacional de San Luis; Argentina
Fil: Ramirez Pastor, Antonio Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; Argentina. Universidad Nacional de San Luis; Argentina
description Percolation and jamming of linear k-mers (particles occupying k adjacent sites) on two-dimensional square lattices with impurities have been studied by numerical simulations and finite-size scaling analysis. The model offers a simplified representation of the problem of percolation in amorphous solids, where the presence of defects in the system is simulated by introducing a fraction of imperfect bonds ρ, which are considered forbidden for deposition.The dependence of percolation and jamming thresholds on the concentration of defects was investigated for dierent values of k, ranging from 2 to 64. Theresults obtained show that: for each fixed value of k, percolation can occur when ρ is smaller than a certain value ρ*_k; and in the range 0<ρ<ρ*_k, the percolation threshold is practically independent of the fraction of defects. The behavior of ρ*_k as a function of k indicates that the percolation of linear k-mers on square lattices is impossible even for an ideal lattice if k ⪆ 5500. Critical exponents were also calculated to show that the universality class corresponding to ordinary percolation is preserved.
publishDate 2015
dc.date.none.fl_str_mv 2015-10
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/11336/14206
Centres, Paulo Marcelo; Ramirez Pastor, Antonio Jose; Percolation and jamming in random sequential adsorption of linear k-mers on square lattices with the presence of impurities; Iop Publishing; Journal Of Statistical Mechanics: Theory And Experiment; 2015; 10-2015; 1-18
1742-5468
url http://hdl.handle.net/11336/14206
identifier_str_mv Centres, Paulo Marcelo; Ramirez Pastor, Antonio Jose; Percolation and jamming in random sequential adsorption of linear k-mers on square lattices with the presence of impurities; Iop Publishing; Journal Of Statistical Mechanics: Theory And Experiment; 2015; 10-2015; 1-18
1742-5468
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/1742-5468/2015/10/P10011/meta
info:eu-repo/semantics/altIdentifier/doi/10.1088/1742-5468/2015/10/P10011
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
dc.publisher.none.fl_str_mv Iop Publishing
publisher.none.fl_str_mv Iop Publishing
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 13.13397

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