Random sequential adsorption on Euclidean, fractal, and random lattices

Autores
Pasinetti, Pedro Marcelo; Ramírez, Lucía Soledad; Centres, Paulo Marcelo; Ramirez Pastor, Antonio Jose; Cwilich, Gabriel
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Irreversible adsorption of objects of different shapes and sizes on Euclidean, fractal, and random lattices is studied. The adsorption process is modeled by using random sequential adsorption algorithm. Objects are adsorbed on one-, two-, and three-dimensional Euclidean lattices, on Sierpinski carpets having dimension d between 1 and 2, and on Erdos-Rényi random graphs. The number of sites is M=Ld for Euclidean and fractal lattices, where L is a characteristic length of the system. In the case of random graphs, such a characteristic length does not exist, and the substrate can be characterized by a fixed set of M vertices (sites) and an average connectivity (or degree) g. This paper concentrates on measuring (i) the probability WL(M)(θ) that a lattice composed of Ld(M) elements reaches a coverage θ and (ii) the exponent νj characterizing the so-called jamming transition. The results obtained for Euclidean, fractal, and random lattices indicate that the quantities derived from the jamming probability WL(M)(θ), such as (dWL/dθ)max and the inverse of the standard deviation ΔL, behave asymptotically as M1/2. In the case of Euclidean and fractal lattices, where L and d can be defined, the asymptotic behavior can be written as M1/2=Ld/2=L1/νj, with νj=2/d.
Fil: Pasinetti, Pedro 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
Fil: Ramírez, Lucía Soledad. 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: 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
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
Fil: Cwilich, Gabriel. Yeshiva University; Estados Unidos
Materia
RANDOM SECUENTIAL ASDORPTION
JAMMING
NETWORKS
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:11336/117073

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spelling Random sequential adsorption on Euclidean, fractal, and random latticesPasinetti, Pedro MarceloRamírez, Lucía SoledadCentres, Paulo MarceloRamirez Pastor, Antonio JoseCwilich, GabrielRANDOM SECUENTIAL ASDORPTIONJAMMINGNETWORKShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Irreversible adsorption of objects of different shapes and sizes on Euclidean, fractal, and random lattices is studied. The adsorption process is modeled by using random sequential adsorption algorithm. Objects are adsorbed on one-, two-, and three-dimensional Euclidean lattices, on Sierpinski carpets having dimension d between 1 and 2, and on Erdos-Rényi random graphs. The number of sites is M=Ld for Euclidean and fractal lattices, where L is a characteristic length of the system. In the case of random graphs, such a characteristic length does not exist, and the substrate can be characterized by a fixed set of M vertices (sites) and an average connectivity (or degree) g. This paper concentrates on measuring (i) the probability WL(M)(θ) that a lattice composed of Ld(M) elements reaches a coverage θ and (ii) the exponent νj characterizing the so-called jamming transition. The results obtained for Euclidean, fractal, and random lattices indicate that the quantities derived from the jamming probability WL(M)(θ), such as (dWL/dθ)max and the inverse of the standard deviation ΔL, behave asymptotically as M1/2. In the case of Euclidean and fractal lattices, where L and d can be defined, the asymptotic behavior can be written as M1/2=Ld/2=L1/νj, with νj=2/d.Fil: Pasinetti, Pedro 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"; ArgentinaFil: Ramírez, Lucía Soledad. 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: 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"; 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"; ArgentinaFil: Cwilich, Gabriel. Yeshiva University; Estados UnidosAmerican Physical Society2019-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/117073Pasinetti, Pedro Marcelo; Ramírez, Lucía Soledad; Centres, Paulo Marcelo; Ramirez Pastor, Antonio Jose; Cwilich, Gabriel; Random sequential adsorption on Euclidean, fractal, and random lattices; American Physical Society; Physical Review E; 100; 5; 11-2019; 1-82470-0053CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PhysRevE.100.052114info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.100.052114info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1907.02572info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:10:56Zoai:ri.conicet.gov.ar:11336/117073instacron: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 10:10:56.397CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Random sequential adsorption on Euclidean, fractal, and random lattices
title Random sequential adsorption on Euclidean, fractal, and random lattices
spellingShingle Random sequential adsorption on Euclidean, fractal, and random lattices
Pasinetti, Pedro Marcelo
RANDOM SECUENTIAL ASDORPTION
JAMMING
NETWORKS
title_short Random sequential adsorption on Euclidean, fractal, and random lattices
title_full Random sequential adsorption on Euclidean, fractal, and random lattices
title_fullStr Random sequential adsorption on Euclidean, fractal, and random lattices
title_full_unstemmed Random sequential adsorption on Euclidean, fractal, and random lattices
title_sort Random sequential adsorption on Euclidean, fractal, and random lattices
dc.creator.none.fl_str_mv Pasinetti, Pedro Marcelo
Ramírez, Lucía Soledad
Centres, Paulo Marcelo
Ramirez Pastor, Antonio Jose
Cwilich, Gabriel
author Pasinetti, Pedro Marcelo
author_facet Pasinetti, Pedro Marcelo
Ramírez, Lucía Soledad
Centres, Paulo Marcelo
Ramirez Pastor, Antonio Jose
Cwilich, Gabriel
author_role author
author2 Ramírez, Lucía Soledad
Centres, Paulo Marcelo
Ramirez Pastor, Antonio Jose
Cwilich, Gabriel
author2_role author
author
author
author
dc.subject.none.fl_str_mv RANDOM SECUENTIAL ASDORPTION
JAMMING
NETWORKS
topic RANDOM SECUENTIAL ASDORPTION
JAMMING
NETWORKS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Irreversible adsorption of objects of different shapes and sizes on Euclidean, fractal, and random lattices is studied. The adsorption process is modeled by using random sequential adsorption algorithm. Objects are adsorbed on one-, two-, and three-dimensional Euclidean lattices, on Sierpinski carpets having dimension d between 1 and 2, and on Erdos-Rényi random graphs. The number of sites is M=Ld for Euclidean and fractal lattices, where L is a characteristic length of the system. In the case of random graphs, such a characteristic length does not exist, and the substrate can be characterized by a fixed set of M vertices (sites) and an average connectivity (or degree) g. This paper concentrates on measuring (i) the probability WL(M)(θ) that a lattice composed of Ld(M) elements reaches a coverage θ and (ii) the exponent νj characterizing the so-called jamming transition. The results obtained for Euclidean, fractal, and random lattices indicate that the quantities derived from the jamming probability WL(M)(θ), such as (dWL/dθ)max and the inverse of the standard deviation ΔL, behave asymptotically as M1/2. In the case of Euclidean and fractal lattices, where L and d can be defined, the asymptotic behavior can be written as M1/2=Ld/2=L1/νj, with νj=2/d.
Fil: Pasinetti, Pedro 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
Fil: Ramírez, Lucía Soledad. 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: 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
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
Fil: Cwilich, Gabriel. Yeshiva University; Estados Unidos
description Irreversible adsorption of objects of different shapes and sizes on Euclidean, fractal, and random lattices is studied. The adsorption process is modeled by using random sequential adsorption algorithm. Objects are adsorbed on one-, two-, and three-dimensional Euclidean lattices, on Sierpinski carpets having dimension d between 1 and 2, and on Erdos-Rényi random graphs. The number of sites is M=Ld for Euclidean and fractal lattices, where L is a characteristic length of the system. In the case of random graphs, such a characteristic length does not exist, and the substrate can be characterized by a fixed set of M vertices (sites) and an average connectivity (or degree) g. This paper concentrates on measuring (i) the probability WL(M)(θ) that a lattice composed of Ld(M) elements reaches a coverage θ and (ii) the exponent νj characterizing the so-called jamming transition. The results obtained for Euclidean, fractal, and random lattices indicate that the quantities derived from the jamming probability WL(M)(θ), such as (dWL/dθ)max and the inverse of the standard deviation ΔL, behave asymptotically as M1/2. In the case of Euclidean and fractal lattices, where L and d can be defined, the asymptotic behavior can be written as M1/2=Ld/2=L1/νj, with νj=2/d.
publishDate 2019
dc.date.none.fl_str_mv 2019-11
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/11336/117073
Pasinetti, Pedro Marcelo; Ramírez, Lucía Soledad; Centres, Paulo Marcelo; Ramirez Pastor, Antonio Jose; Cwilich, Gabriel; Random sequential adsorption on Euclidean, fractal, and random lattices; American Physical Society; Physical Review E; 100; 5; 11-2019; 1-8
2470-0053
CONICET Digital
CONICET
url http://hdl.handle.net/11336/117073
identifier_str_mv Pasinetti, Pedro Marcelo; Ramírez, Lucía Soledad; Centres, Paulo Marcelo; Ramirez Pastor, Antonio Jose; Cwilich, Gabriel; Random sequential adsorption on Euclidean, fractal, and random lattices; American Physical Society; Physical Review E; 100; 5; 11-2019; 1-8
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://link.aps.org/doi/10.1103/PhysRevE.100.052114
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.100.052114
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1907.02572
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
application/pdf
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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)
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