Mean-field approach to diffusion with interaction: Darken equation and numerical validation
- Autores
- Di Pietro Martínez, Marisel; Hoyuelos, Miguel Luis
- Año de publicación
- 2018
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- A mean-field theory for diffusion with interaction was introduced in Phys. Rev. E 92, 062118 (2015)PLEEE81539-375510.1103/PhysRevE.92.062118. Interaction effects are represented with a mean-field potential. Here we show that the potential can be directly related to the activity coefficient. In this context, we obtain an alternative derivation of the Darken equation, that relates collective diffusion coefficient and single particle diffusion coefficient (generally different in the presence of interactions). We also carry out a validation test of the model using, as a case study, effective interactions that reproduce Bose-Einstein statistics.
Fil: Di Pietro Martínez, Marisel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Hoyuelos, Miguel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina - Materia
-
DIFFUSION
INTERACTION
MEAN-FIELD - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/89187
Ver los metadatos del registro completo
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Mean-field approach to diffusion with interaction: Darken equation and numerical validationDi Pietro Martínez, MariselHoyuelos, Miguel LuisDIFFUSIONINTERACTIONMEAN-FIELDhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1A mean-field theory for diffusion with interaction was introduced in Phys. Rev. E 92, 062118 (2015)PLEEE81539-375510.1103/PhysRevE.92.062118. Interaction effects are represented with a mean-field potential. Here we show that the potential can be directly related to the activity coefficient. In this context, we obtain an alternative derivation of the Darken equation, that relates collective diffusion coefficient and single particle diffusion coefficient (generally different in the presence of interactions). We also carry out a validation test of the model using, as a case study, effective interactions that reproduce Bose-Einstein statistics.Fil: Di Pietro Martínez, Marisel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaFil: Hoyuelos, Miguel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaAmerican Physical Society2018-08-22info: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/11336/89187Di Pietro Martínez, Marisel; Hoyuelos, Miguel Luis; Mean-field approach to diffusion with interaction: Darken equation and numerical validation; American Physical Society; Physical Review E; 98; 2; 22-8-20182470-00452470-0053CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.98.022121info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.98.022121info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:42:41Zoai:ri.conicet.gov.ar:11336/89187instacron: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 10:42:41.631CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Mean-field approach to diffusion with interaction: Darken equation and numerical validation |
title |
Mean-field approach to diffusion with interaction: Darken equation and numerical validation |
spellingShingle |
Mean-field approach to diffusion with interaction: Darken equation and numerical validation Di Pietro Martínez, Marisel DIFFUSION INTERACTION MEAN-FIELD |
title_short |
Mean-field approach to diffusion with interaction: Darken equation and numerical validation |
title_full |
Mean-field approach to diffusion with interaction: Darken equation and numerical validation |
title_fullStr |
Mean-field approach to diffusion with interaction: Darken equation and numerical validation |
title_full_unstemmed |
Mean-field approach to diffusion with interaction: Darken equation and numerical validation |
title_sort |
Mean-field approach to diffusion with interaction: Darken equation and numerical validation |
dc.creator.none.fl_str_mv |
Di Pietro Martínez, Marisel Hoyuelos, Miguel Luis |
author |
Di Pietro Martínez, Marisel |
author_facet |
Di Pietro Martínez, Marisel Hoyuelos, Miguel Luis |
author_role |
author |
author2 |
Hoyuelos, Miguel Luis |
author2_role |
author |
dc.subject.none.fl_str_mv |
DIFFUSION INTERACTION MEAN-FIELD |
topic |
DIFFUSION INTERACTION MEAN-FIELD |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
A mean-field theory for diffusion with interaction was introduced in Phys. Rev. E 92, 062118 (2015)PLEEE81539-375510.1103/PhysRevE.92.062118. Interaction effects are represented with a mean-field potential. Here we show that the potential can be directly related to the activity coefficient. In this context, we obtain an alternative derivation of the Darken equation, that relates collective diffusion coefficient and single particle diffusion coefficient (generally different in the presence of interactions). We also carry out a validation test of the model using, as a case study, effective interactions that reproduce Bose-Einstein statistics. Fil: Di Pietro Martínez, Marisel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina Fil: Hoyuelos, Miguel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina |
description |
A mean-field theory for diffusion with interaction was introduced in Phys. Rev. E 92, 062118 (2015)PLEEE81539-375510.1103/PhysRevE.92.062118. Interaction effects are represented with a mean-field potential. Here we show that the potential can be directly related to the activity coefficient. In this context, we obtain an alternative derivation of the Darken equation, that relates collective diffusion coefficient and single particle diffusion coefficient (generally different in the presence of interactions). We also carry out a validation test of the model using, as a case study, effective interactions that reproduce Bose-Einstein statistics. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-08-22 |
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/11336/89187 Di Pietro Martínez, Marisel; Hoyuelos, Miguel Luis; Mean-field approach to diffusion with interaction: Darken equation and numerical validation; American Physical Society; Physical Review E; 98; 2; 22-8-2018 2470-0045 2470-0053 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/89187 |
identifier_str_mv |
Di Pietro Martínez, Marisel; Hoyuelos, Miguel Luis; Mean-field approach to diffusion with interaction: Darken equation and numerical validation; American Physical Society; Physical Review E; 98; 2; 22-8-2018 2470-0045 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/doi/10.1103/PhysRevE.98.022121 info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.98.022121 |
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) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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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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1844614459826372608 |
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13.070432 |