Is The Alexander-Orbach Conjecture Suitable For Diffusion In Correlated Percolation Clusters

Autores
Cruz, Ommar; Hidalgo, Ricardo; Alas, Salomón; Cordero, Salomón; Meraz, Laura; López, Raúl Horacio; Dominguez, Armando
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
How does a particle diffuse inside a percolation cluster? This question is of both scientific and practical importance, e.g. in drug-controlled release and vapour adsorption. Diffusion in fractal media is characterized by the fracton dimension, ds. The Alexander and Orbach conjecture indicates that ds = 4/3 for diffusion in classical percolation clusters and, after much research on the subject, it is still provides a very good approximation for ds in the case of uncorrelated percolation cluster structures. However, what happens to the value of ds when a particle is moving inside a correlated percolation cluster? In this work, this problem is studied via Monte Carlo computer simulation. Our results show that the Alexander and Orbach conjecture is not always fulfilled.
Fil: Cruz, Ommar. Universidad Autonoma Metropolitana; México
Fil: Hidalgo, Ricardo. Universidad Autonoma Metropolitana; México
Fil: Alas, Salomón. Universidad Autonoma Metropolitana; México
Fil: Cordero, Salomón. Universidad Autonoma Metropolitana; México
Fil: Meraz, Laura. CIIEMAD-IPN; México
Fil: López, Raúl Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; Argentina. Universidad Nacional de San Luis; Argentina
Fil: Dominguez, Armando. Universidad Autonoma Metropolitana; México
Materia
Alexander-Orbach Conjecture
Diffusion
Correlated
Percolation
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:11336/14083
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Is The Alexander-Orbach Conjecture Suitable For Diffusion In Correlated Percolation ClustersCruz, OmmarHidalgo, RicardoAlas, SalomónCordero, SalomónMeraz, LauraLópez, Raúl HoracioDominguez, ArmandoAlexander-Orbach ConjectureDiffusionCorrelatedPercolationhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1How does a particle diffuse inside a percolation cluster? This question is of both scientific and practical importance, e.g. in drug-controlled release and vapour adsorption. Diffusion in fractal media is characterized by the fracton dimension, ds. The Alexander and Orbach conjecture indicates that ds = 4/3 for diffusion in classical percolation clusters and, after much research on the subject, it is still provides a very good approximation for ds in the case of uncorrelated percolation cluster structures. However, what happens to the value of ds when a particle is moving inside a correlated percolation cluster? In this work, this problem is studied via Monte Carlo computer simulation. Our results show that the Alexander and Orbach conjecture is not always fulfilled.Fil: Cruz, Ommar. Universidad Autonoma Metropolitana; MéxicoFil: Hidalgo, Ricardo. Universidad Autonoma Metropolitana; MéxicoFil: Alas, Salomón. Universidad Autonoma Metropolitana; MéxicoFil: Cordero, Salomón. Universidad Autonoma Metropolitana; MéxicoFil: Meraz, Laura. CIIEMAD-IPN; MéxicoFil: López, Raúl Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; Argentina. Universidad Nacional de San Luis; ArgentinaFil: Dominguez, Armando. Universidad Autonoma Metropolitana; MéxicoSage Publications2011-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/14083Cruz, Ommar; Hidalgo, Ricardo; Alas, Salomón; Cordero, Salomón; Meraz, Laura; et al.; Is The Alexander-Orbach Conjecture Suitable For Diffusion In Correlated Percolation Clusters; Sage Publications; Adsorption Science & Technology; 29; 7; 7-2011; 663-6760263-6174enginfo:eu-repo/semantics/altIdentifier/url/http://journals.sagepub.com/doi/10.1260/0263-6174.29.7.663info:eu-repo/semantics/altIdentifier/arxiv/https://doi.org/10.1260/0263-6174.29.7.663info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:51:09Zoai:ri.conicet.gov.ar:11336/14083instacron: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:34982025-10-15 14:51:09.425CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Is The Alexander-Orbach Conjecture Suitable For Diffusion In Correlated Percolation Clusters
title Is The Alexander-Orbach Conjecture Suitable For Diffusion In Correlated Percolation Clusters
spellingShingle Is The Alexander-Orbach Conjecture Suitable For Diffusion In Correlated Percolation Clusters
Cruz, Ommar
Alexander-Orbach Conjecture
Diffusion
Correlated
Percolation
title_short Is The Alexander-Orbach Conjecture Suitable For Diffusion In Correlated Percolation Clusters
title_full Is The Alexander-Orbach Conjecture Suitable For Diffusion In Correlated Percolation Clusters
title_fullStr Is The Alexander-Orbach Conjecture Suitable For Diffusion In Correlated Percolation Clusters
title_full_unstemmed Is The Alexander-Orbach Conjecture Suitable For Diffusion In Correlated Percolation Clusters
title_sort Is The Alexander-Orbach Conjecture Suitable For Diffusion In Correlated Percolation Clusters
dc.creator.none.fl_str_mv Cruz, Ommar
Hidalgo, Ricardo
Alas, Salomón
Cordero, Salomón
Meraz, Laura
López, Raúl Horacio
Dominguez, Armando
author Cruz, Ommar
author_facet Cruz, Ommar
Hidalgo, Ricardo
Alas, Salomón
Cordero, Salomón
Meraz, Laura
López, Raúl Horacio
Dominguez, Armando
author_role author
author2 Hidalgo, Ricardo
Alas, Salomón
Cordero, Salomón
Meraz, Laura
López, Raúl Horacio
Dominguez, Armando
author2_role author
author
author
author
author
author
dc.subject.none.fl_str_mv Alexander-Orbach Conjecture
Diffusion
Correlated
Percolation
topic Alexander-Orbach Conjecture
Diffusion
Correlated
Percolation
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv How does a particle diffuse inside a percolation cluster? This question is of both scientific and practical importance, e.g. in drug-controlled release and vapour adsorption. Diffusion in fractal media is characterized by the fracton dimension, ds. The Alexander and Orbach conjecture indicates that ds = 4/3 for diffusion in classical percolation clusters and, after much research on the subject, it is still provides a very good approximation for ds in the case of uncorrelated percolation cluster structures. However, what happens to the value of ds when a particle is moving inside a correlated percolation cluster? In this work, this problem is studied via Monte Carlo computer simulation. Our results show that the Alexander and Orbach conjecture is not always fulfilled.
Fil: Cruz, Ommar. Universidad Autonoma Metropolitana; México
Fil: Hidalgo, Ricardo. Universidad Autonoma Metropolitana; México
Fil: Alas, Salomón. Universidad Autonoma Metropolitana; México
Fil: Cordero, Salomón. Universidad Autonoma Metropolitana; México
Fil: Meraz, Laura. CIIEMAD-IPN; México
Fil: López, Raúl Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico San Luis. Instituto de Física Aplicada; Argentina. Universidad Nacional de San Luis; Argentina
Fil: Dominguez, Armando. Universidad Autonoma Metropolitana; México
description How does a particle diffuse inside a percolation cluster? This question is of both scientific and practical importance, e.g. in drug-controlled release and vapour adsorption. Diffusion in fractal media is characterized by the fracton dimension, ds. The Alexander and Orbach conjecture indicates that ds = 4/3 for diffusion in classical percolation clusters and, after much research on the subject, it is still provides a very good approximation for ds in the case of uncorrelated percolation cluster structures. However, what happens to the value of ds when a particle is moving inside a correlated percolation cluster? In this work, this problem is studied via Monte Carlo computer simulation. Our results show that the Alexander and Orbach conjecture is not always fulfilled.
publishDate 2011
dc.date.none.fl_str_mv 2011-07
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/11336/14083
Cruz, Ommar; Hidalgo, Ricardo; Alas, Salomón; Cordero, Salomón; Meraz, Laura; et al.; Is The Alexander-Orbach Conjecture Suitable For Diffusion In Correlated Percolation Clusters; Sage Publications; Adsorption Science & Technology; 29; 7; 7-2011; 663-676
0263-6174
url http://hdl.handle.net/11336/14083
identifier_str_mv Cruz, Ommar; Hidalgo, Ricardo; Alas, Salomón; Cordero, Salomón; Meraz, Laura; et al.; Is The Alexander-Orbach Conjecture Suitable For Diffusion In Correlated Percolation Clusters; Sage Publications; Adsorption Science & Technology; 29; 7; 7-2011; 663-676
0263-6174
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://journals.sagepub.com/doi/10.1260/0263-6174.29.7.663
info:eu-repo/semantics/altIdentifier/arxiv/https://doi.org/10.1260/0263-6174.29.7.663
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
dc.publisher.none.fl_str_mv Sage Publications
publisher.none.fl_str_mv Sage Publications
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 13.22299

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