Enhanced diffusion through surface excursion: A master-equation approach to the narrow-escape-time problem

Autores
Rojo Lapalma, Felix Ramon; Budde, Carlos Esteban
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present a master-equation approach to the narrow-escape-time (NET) problem, i.e., the time needed for a particle contained in a confining domain with a single small or narrow opening to exit the domain. In this paper we introduce an alternative type of confining domain (to the usually spherical one) and we consider the diffusion process on a lattice rather than in continuous space. We have obtained analytic results for the basic quantity studied in the NET problem, the mean first-passage time, and we have studied its dependence in terms of the transition (desorption) probability over (from) the surface boundary and the confining domain dimensions. In addition to our analytical approach, we have implemented Monte Carlo simulations, finding excellent agreement between the theoretical results and simulations.
Fil: Rojo Lapalma, Felix Ramon. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomia y Física. Sección Física. Grupo de Teoria de la Materia Condensada; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina
Fil: Budde, Carlos Esteban. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina
Materia
NET
MASTER EQUATION
ENHANCED
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:11336/193480
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Enhanced diffusion through surface excursion: A master-equation approach to the narrow-escape-time problemRojo Lapalma, Felix RamonBudde, Carlos EstebanNETMASTER EQUATIONENHANCEDDIFFUSIONhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We present a master-equation approach to the narrow-escape-time (NET) problem, i.e., the time needed for a particle contained in a confining domain with a single small or narrow opening to exit the domain. In this paper we introduce an alternative type of confining domain (to the usually spherical one) and we consider the diffusion process on a lattice rather than in continuous space. We have obtained analytic results for the basic quantity studied in the NET problem, the mean first-passage time, and we have studied its dependence in terms of the transition (desorption) probability over (from) the surface boundary and the confining domain dimensions. In addition to our analytical approach, we have implemented Monte Carlo simulations, finding excellent agreement between the theoretical results and simulations.Fil: Rojo Lapalma, Felix Ramon. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomia y Física. Sección Física. Grupo de Teoria de la Materia Condensada; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; ArgentinaFil: Budde, Carlos Esteban. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; ArgentinaAmerican Physical Society2011-08-08info: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/11336/193480Rojo Lapalma, Felix Ramon; Budde, Carlos Esteban; Enhanced diffusion through surface excursion: A master-equation approach to the narrow-escape-time problem; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 84; 2; 8-8-2011; 1-61539-37551550-2376CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.84.021117info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.84.021117info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:10:42Zoai:ri.conicet.gov.ar:11336/193480instacron: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 10:10:43.718CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Enhanced diffusion through surface excursion: A master-equation approach to the narrow-escape-time problem
title Enhanced diffusion through surface excursion: A master-equation approach to the narrow-escape-time problem
spellingShingle Enhanced diffusion through surface excursion: A master-equation approach to the narrow-escape-time problem
Rojo Lapalma, Felix Ramon
NET
MASTER EQUATION
ENHANCED
DIFFUSION
title_short Enhanced diffusion through surface excursion: A master-equation approach to the narrow-escape-time problem
title_full Enhanced diffusion through surface excursion: A master-equation approach to the narrow-escape-time problem
title_fullStr Enhanced diffusion through surface excursion: A master-equation approach to the narrow-escape-time problem
title_full_unstemmed Enhanced diffusion through surface excursion: A master-equation approach to the narrow-escape-time problem
title_sort Enhanced diffusion through surface excursion: A master-equation approach to the narrow-escape-time problem
dc.creator.none.fl_str_mv Rojo Lapalma, Felix Ramon
Budde, Carlos Esteban
author Rojo Lapalma, Felix Ramon
author_facet Rojo Lapalma, Felix Ramon
Budde, Carlos Esteban
author_role author
author2 Budde, Carlos Esteban
author2_role author
dc.subject.none.fl_str_mv NET
MASTER EQUATION
ENHANCED
DIFFUSION
topic NET
MASTER EQUATION
ENHANCED
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 present a master-equation approach to the narrow-escape-time (NET) problem, i.e., the time needed for a particle contained in a confining domain with a single small or narrow opening to exit the domain. In this paper we introduce an alternative type of confining domain (to the usually spherical one) and we consider the diffusion process on a lattice rather than in continuous space. We have obtained analytic results for the basic quantity studied in the NET problem, the mean first-passage time, and we have studied its dependence in terms of the transition (desorption) probability over (from) the surface boundary and the confining domain dimensions. In addition to our analytical approach, we have implemented Monte Carlo simulations, finding excellent agreement between the theoretical results and simulations.
Fil: Rojo Lapalma, Felix Ramon. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomia y Física. Sección Física. Grupo de Teoria de la Materia Condensada; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina
Fil: Budde, Carlos Esteban. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina
description We present a master-equation approach to the narrow-escape-time (NET) problem, i.e., the time needed for a particle contained in a confining domain with a single small or narrow opening to exit the domain. In this paper we introduce an alternative type of confining domain (to the usually spherical one) and we consider the diffusion process on a lattice rather than in continuous space. We have obtained analytic results for the basic quantity studied in the NET problem, the mean first-passage time, and we have studied its dependence in terms of the transition (desorption) probability over (from) the surface boundary and the confining domain dimensions. In addition to our analytical approach, we have implemented Monte Carlo simulations, finding excellent agreement between the theoretical results and simulations.
publishDate 2011
dc.date.none.fl_str_mv 2011-08-08
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/11336/193480
Rojo Lapalma, Felix Ramon; Budde, Carlos Esteban; Enhanced diffusion through surface excursion: A master-equation approach to the narrow-escape-time problem; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 84; 2; 8-8-2011; 1-6
1539-3755
1550-2376
CONICET Digital
CONICET
url http://hdl.handle.net/11336/193480
identifier_str_mv Rojo Lapalma, Felix Ramon; Budde, Carlos Esteban; Enhanced diffusion through surface excursion: A master-equation approach to the narrow-escape-time problem; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 84; 2; 8-8-2011; 1-6
1539-3755
1550-2376
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.84.021117
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.84.021117
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 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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