Single-file diffusion on self-similar substrates

Autores
Suárez, Gonzalo Pablo; Martin, Hector Omar; Iguain, Jose Luis
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the single file diffusion problem on a one-dimensional lattice with a self-similar distribution of hopping rates. We find that the time dependence of the mean-square displacement of both a tagged particle and the center of mass of the system present anomalous power laws modulated by logarithmic periodic oscillations. The anomalous exponent of a tagged article is one half of the exponent of the center of mass, and always smaller than 1/4. Using heuristic arguments, the exponents and the period of oscillations are analytically obtained and confirmed by Monte Carlo simulations.
Fil: Suárez, Gonzalo Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Martin, Hector Omar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Iguain, Jose Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Materia
DIFFUSION
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:11336/8259
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Single-file diffusion on self-similar substratesSuárez, Gonzalo PabloMartin, Hector OmarIguain, Jose LuisDIFFUSIONhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the single file diffusion problem on a one-dimensional lattice with a self-similar distribution of hopping rates. We find that the time dependence of the mean-square displacement of both a tagged particle and the center of mass of the system present anomalous power laws modulated by logarithmic periodic oscillations. The anomalous exponent of a tagged article is one half of the exponent of the center of mass, and always smaller than 1/4. Using heuristic arguments, the exponents and the period of oscillations are analytically obtained and confirmed by Monte Carlo simulations.Fil: Suárez, Gonzalo Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaFil: Martin, Hector Omar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaFil: Iguain, Jose Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaIop Publishing2014-07info: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/11336/8259Suárez, Gonzalo Pablo; Martin, Hector Omar; Iguain, Jose Luis; Single-file diffusion on self-similar substrates; Iop Publishing; Journal Of Statistical Mechanics: Theory And Experiment; 7-2014; 1-111742-5468enginfo:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/1742-5468/2014/7/P07010info:eu-repo/semantics/altIdentifier/doi/10.1088/1742-5468/2014/07/P07010info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1406.1680v1info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:43:49Zoai:ri.conicet.gov.ar:11336/8259instacron: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 10:43:49.709CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Single-file diffusion on self-similar substrates
title Single-file diffusion on self-similar substrates
spellingShingle Single-file diffusion on self-similar substrates
Suárez, Gonzalo Pablo
DIFFUSION
title_short Single-file diffusion on self-similar substrates
title_full Single-file diffusion on self-similar substrates
title_fullStr Single-file diffusion on self-similar substrates
title_full_unstemmed Single-file diffusion on self-similar substrates
title_sort Single-file diffusion on self-similar substrates
dc.creator.none.fl_str_mv Suárez, Gonzalo Pablo
Martin, Hector Omar
Iguain, Jose Luis
author Suárez, Gonzalo Pablo
author_facet Suárez, Gonzalo Pablo
Martin, Hector Omar
Iguain, Jose Luis
author_role author
author2 Martin, Hector Omar
Iguain, Jose Luis
author2_role author
author
dc.subject.none.fl_str_mv DIFFUSION
topic DIFFUSION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study the single file diffusion problem on a one-dimensional lattice with a self-similar distribution of hopping rates. We find that the time dependence of the mean-square displacement of both a tagged particle and the center of mass of the system present anomalous power laws modulated by logarithmic periodic oscillations. The anomalous exponent of a tagged article is one half of the exponent of the center of mass, and always smaller than 1/4. Using heuristic arguments, the exponents and the period of oscillations are analytically obtained and confirmed by Monte Carlo simulations.
Fil: Suárez, Gonzalo Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Martin, Hector Omar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Iguain, Jose Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
description We study the single file diffusion problem on a one-dimensional lattice with a self-similar distribution of hopping rates. We find that the time dependence of the mean-square displacement of both a tagged particle and the center of mass of the system present anomalous power laws modulated by logarithmic periodic oscillations. The anomalous exponent of a tagged article is one half of the exponent of the center of mass, and always smaller than 1/4. Using heuristic arguments, the exponents and the period of oscillations are analytically obtained and confirmed by Monte Carlo simulations.
publishDate 2014
dc.date.none.fl_str_mv 2014-07
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/11336/8259
Suárez, Gonzalo Pablo; Martin, Hector Omar; Iguain, Jose Luis; Single-file diffusion on self-similar substrates; Iop Publishing; Journal Of Statistical Mechanics: Theory And Experiment; 7-2014; 1-11
1742-5468
url http://hdl.handle.net/11336/8259
identifier_str_mv Suárez, Gonzalo Pablo; Martin, Hector Omar; Iguain, Jose Luis; Single-file diffusion on self-similar substrates; Iop Publishing; Journal Of Statistical Mechanics: Theory And Experiment; 7-2014; 1-11
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/1742-5468/2014/7/P07010
info:eu-repo/semantics/altIdentifier/doi/10.1088/1742-5468/2014/07/P07010
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1406.1680v1
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
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 13.070432

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