Jamming and percolation of k3 -mers on simple cubic lattices

Autores
Buchini Labayen, Ana Carla; Centres, Paulo Marcelo; Pasinetti, Pedro Marcelo; Ramirez Pastor, Antonio Jose
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Jamming and percolation of three-dimensional (3D) k×k×k cubic objects (k3-mers) deposited on simple cubic lattices have been studied by numerical simulations complemented with finite-size scaling theory. The k3-mers were irreversibly deposited into the lattice. Jamming coverage θj,k was determined for a wide range of k (2≤k≤40). θj,k exhibits a decreasing behavior with increasing k, being θj,k=∞=0.4204(9) the limit value for large k3-mer sizes. In addition, a finite-size scaling analysis of the jamming transition was carried out, and the corresponding spatial correlation length critical exponent νj was measured, being νj≈3/2. However, the obtained results for the percolation threshold θp,k showed that θp,k is an increasing function of k in the range 2≤k≤16. For k≥17, all jammed configurations are nonpercolating states, and consequently, the percolation phase transition disappears. The interplay between the percolation and the jamming effects is responsible for the existence of a maximum value of k (in this case, k=16) from which the percolation phase transition no longer occurs. Finally, a complete analysis of critical exponents and universality has been done, showing that the percolation phase transition involved in the system has the same universality class as the 3D random percolation, regardless of the size k considered.
Fil: Buchini Labayen, Ana Carla. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina. Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Departamento de Física; Argentina
Fil: Centres, Paulo Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina. Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Departamento de Física; Argentina
Fil: Pasinetti, Pedro Marcelo. Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina
Fil: Ramirez Pastor, Antonio Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina. Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Departamento de Física; Argentina
Materia
Jamming and percolation
k 3 -mers
cubic lattices
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/117041
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/117041
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Jamming and percolation of k3 -mers on simple cubic latticesBuchini Labayen, Ana CarlaCentres, Paulo MarceloPasinetti, Pedro MarceloRamirez Pastor, Antonio JoseJamming and percolationk 3 -merscubic latticeshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Jamming and percolation of three-dimensional (3D) k×k×k cubic objects (k3-mers) deposited on simple cubic lattices have been studied by numerical simulations complemented with finite-size scaling theory. The k3-mers were irreversibly deposited into the lattice. Jamming coverage θj,k was determined for a wide range of k (2≤k≤40). θj,k exhibits a decreasing behavior with increasing k, being θj,k=∞=0.4204(9) the limit value for large k3-mer sizes. In addition, a finite-size scaling analysis of the jamming transition was carried out, and the corresponding spatial correlation length critical exponent νj was measured, being νj≈3/2. However, the obtained results for the percolation threshold θp,k showed that θp,k is an increasing function of k in the range 2≤k≤16. For k≥17, all jammed configurations are nonpercolating states, and consequently, the percolation phase transition disappears. The interplay between the percolation and the jamming effects is responsible for the existence of a maximum value of k (in this case, k=16) from which the percolation phase transition no longer occurs. Finally, a complete analysis of critical exponents and universality has been done, showing that the percolation phase transition involved in the system has the same universality class as the 3D random percolation, regardless of the size k considered.Fil: Buchini Labayen, Ana Carla. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina. Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Departamento de Física; ArgentinaFil: Centres, Paulo Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina. Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Departamento de Física; ArgentinaFil: Pasinetti, Pedro Marcelo. Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; ArgentinaFil: Ramirez Pastor, Antonio Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina. Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Departamento de Física; ArgentinaAmerican Physical Society2019-08info: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/11336/117041Buchini Labayen, Ana Carla; Centres, Paulo Marcelo; Pasinetti, Pedro Marcelo; Ramirez Pastor, Antonio Jose; Jamming and percolation of k3 -mers on simple cubic lattices; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 100; 2; 8-2019; 1-91539-37552470-0053CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.100.022136info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.100.022136info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1905.11440info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:02:02Zoai:ri.conicet.gov.ar:11336/117041instacron: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 10:02:02.974CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Jamming and percolation of k3 -mers on simple cubic lattices
title Jamming and percolation of k3 -mers on simple cubic lattices
spellingShingle Jamming and percolation of k3 -mers on simple cubic lattices
Buchini Labayen, Ana Carla
Jamming and percolation
k 3 -mers
cubic lattices
title_short Jamming and percolation of k3 -mers on simple cubic lattices
title_full Jamming and percolation of k3 -mers on simple cubic lattices
title_fullStr Jamming and percolation of k3 -mers on simple cubic lattices
title_full_unstemmed Jamming and percolation of k3 -mers on simple cubic lattices
title_sort Jamming and percolation of k3 -mers on simple cubic lattices
dc.creator.none.fl_str_mv Buchini Labayen, Ana Carla
Centres, Paulo Marcelo
Pasinetti, Pedro Marcelo
Ramirez Pastor, Antonio Jose
author Buchini Labayen, Ana Carla
author_facet Buchini Labayen, Ana Carla
Centres, Paulo Marcelo
Pasinetti, Pedro Marcelo
Ramirez Pastor, Antonio Jose
author_role author
author2 Centres, Paulo Marcelo
Pasinetti, Pedro Marcelo
Ramirez Pastor, Antonio Jose
author2_role author
author
author
dc.subject.none.fl_str_mv Jamming and percolation
k 3 -mers
cubic lattices
topic Jamming and percolation
k 3 -mers
cubic 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 Jamming and percolation of three-dimensional (3D) k×k×k cubic objects (k3-mers) deposited on simple cubic lattices have been studied by numerical simulations complemented with finite-size scaling theory. The k3-mers were irreversibly deposited into the lattice. Jamming coverage θj,k was determined for a wide range of k (2≤k≤40). θj,k exhibits a decreasing behavior with increasing k, being θj,k=∞=0.4204(9) the limit value for large k3-mer sizes. In addition, a finite-size scaling analysis of the jamming transition was carried out, and the corresponding spatial correlation length critical exponent νj was measured, being νj≈3/2. However, the obtained results for the percolation threshold θp,k showed that θp,k is an increasing function of k in the range 2≤k≤16. For k≥17, all jammed configurations are nonpercolating states, and consequently, the percolation phase transition disappears. The interplay between the percolation and the jamming effects is responsible for the existence of a maximum value of k (in this case, k=16) from which the percolation phase transition no longer occurs. Finally, a complete analysis of critical exponents and universality has been done, showing that the percolation phase transition involved in the system has the same universality class as the 3D random percolation, regardless of the size k considered.
Fil: Buchini Labayen, Ana Carla. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina. Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Departamento de Física; Argentina
Fil: Centres, Paulo Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina. Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Departamento de Física; Argentina
Fil: Pasinetti, Pedro Marcelo. Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina
Fil: Ramirez Pastor, Antonio Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich". Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Instituto de Física Aplicada "Dr. Jorge Andrés Zgrablich"; Argentina. Universidad Nacional de San Luis. Facultad de Ciencias Físico Matemáticas y Naturales. Departamento de Física; Argentina
description Jamming and percolation of three-dimensional (3D) k×k×k cubic objects (k3-mers) deposited on simple cubic lattices have been studied by numerical simulations complemented with finite-size scaling theory. The k3-mers were irreversibly deposited into the lattice. Jamming coverage θj,k was determined for a wide range of k (2≤k≤40). θj,k exhibits a decreasing behavior with increasing k, being θj,k=∞=0.4204(9) the limit value for large k3-mer sizes. In addition, a finite-size scaling analysis of the jamming transition was carried out, and the corresponding spatial correlation length critical exponent νj was measured, being νj≈3/2. However, the obtained results for the percolation threshold θp,k showed that θp,k is an increasing function of k in the range 2≤k≤16. For k≥17, all jammed configurations are nonpercolating states, and consequently, the percolation phase transition disappears. The interplay between the percolation and the jamming effects is responsible for the existence of a maximum value of k (in this case, k=16) from which the percolation phase transition no longer occurs. Finally, a complete analysis of critical exponents and universality has been done, showing that the percolation phase transition involved in the system has the same universality class as the 3D random percolation, regardless of the size k considered.
publishDate 2019
dc.date.none.fl_str_mv 2019-08
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/11336/117041
Buchini Labayen, Ana Carla; Centres, Paulo Marcelo; Pasinetti, Pedro Marcelo; Ramirez Pastor, Antonio Jose; Jamming and percolation of k3 -mers on simple cubic lattices; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 100; 2; 8-2019; 1-9
1539-3755
2470-0053
CONICET Digital
CONICET
url http://hdl.handle.net/11336/117041
identifier_str_mv Buchini Labayen, Ana Carla; Centres, Paulo Marcelo; Pasinetti, Pedro Marcelo; Ramirez Pastor, Antonio Jose; Jamming and percolation of k3 -mers on simple cubic lattices; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 100; 2; 8-2019; 1-9
1539-3755
2470-0053
CONICET Digital
CONICET
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.100.022136
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.100.022136
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1905.11440
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv 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 13.13397

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