Mean-field approach for diffusion of interacting particles

Autores
Suárez, Gonzalo Pablo; Hoyuelos, Miguel Luis; Martin, Hector Omar
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A nonlinear Fokker-Planck equation is obtained in the continuous limit of a one-dimensional lattice with an energy landscape of wells and barriers. Interaction is possible among particles in the same energy well. A parameter γ , related to the barrier?s heights, is introduced. Its value is determinant for the functional dependence of the mobility and diffusion coefficient on particle concentration, but has no influence on the equilibrium solution. A relation between the mean-field potential and the microscopic interaction energy is derived. The results are illustrated with classical particles with interactions that reproduce fermion and boson statistics.
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: Hoyuelos, Miguel Luis. 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
Materia
Difusion
Transporte
Interccion
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:11336/8230
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Mean-field approach for diffusion of interacting particlesSuárez, Gonzalo PabloHoyuelos, Miguel LuisMartin, Hector OmarDifusionTransporteInterccionhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1A nonlinear Fokker-Planck equation is obtained in the continuous limit of a one-dimensional lattice with an energy landscape of wells and barriers. Interaction is possible among particles in the same energy well. A parameter γ , related to the barrier?s heights, is introduced. Its value is determinant for the functional dependence of the mobility and diffusion coefficient on particle concentration, but has no influence on the equilibrium solution. A relation between the mean-field potential and the microscopic interaction energy is derived. The results are illustrated with classical particles with interactions that reproduce fermion and boson statistics.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: Hoyuelos, Miguel Luis. 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; ArgentinaAmerican Physical Society2015-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/8230Suárez, Gonzalo Pablo; Hoyuelos, Miguel Luis; Martin, Hector Omar; Mean-field approach for diffusion of interacting particles; American Physical Society; Physical Review E: Statistical, Nonlinear And Soft Matter Physics; 92; 6; 12-2015; 12135-121411539-3755enginfo:eu-repo/semantics/altIdentifier/url/http://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.062118info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.92.062118info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1509.06622v1info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:39:04Zoai:ri.conicet.gov.ar:11336/8230instacron: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 09:39:05.246CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Mean-field approach for diffusion of interacting particles
title Mean-field approach for diffusion of interacting particles
spellingShingle Mean-field approach for diffusion of interacting particles
Suárez, Gonzalo Pablo
Difusion
Transporte
Interccion
title_short Mean-field approach for diffusion of interacting particles
title_full Mean-field approach for diffusion of interacting particles
title_fullStr Mean-field approach for diffusion of interacting particles
title_full_unstemmed Mean-field approach for diffusion of interacting particles
title_sort Mean-field approach for diffusion of interacting particles
dc.creator.none.fl_str_mv Suárez, Gonzalo Pablo
Hoyuelos, Miguel Luis
Martin, Hector Omar
author Suárez, Gonzalo Pablo
author_facet Suárez, Gonzalo Pablo
Hoyuelos, Miguel Luis
Martin, Hector Omar
author_role author
author2 Hoyuelos, Miguel Luis
Martin, Hector Omar
author2_role author
author
dc.subject.none.fl_str_mv Difusion
Transporte
Interccion
topic Difusion
Transporte
Interccion
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 nonlinear Fokker-Planck equation is obtained in the continuous limit of a one-dimensional lattice with an energy landscape of wells and barriers. Interaction is possible among particles in the same energy well. A parameter γ , related to the barrier?s heights, is introduced. Its value is determinant for the functional dependence of the mobility and diffusion coefficient on particle concentration, but has no influence on the equilibrium solution. A relation between the mean-field potential and the microscopic interaction energy is derived. The results are illustrated with classical particles with interactions that reproduce fermion and boson statistics.
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: Hoyuelos, Miguel Luis. 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
description A nonlinear Fokker-Planck equation is obtained in the continuous limit of a one-dimensional lattice with an energy landscape of wells and barriers. Interaction is possible among particles in the same energy well. A parameter γ , related to the barrier?s heights, is introduced. Its value is determinant for the functional dependence of the mobility and diffusion coefficient on particle concentration, but has no influence on the equilibrium solution. A relation between the mean-field potential and the microscopic interaction energy is derived. The results are illustrated with classical particles with interactions that reproduce fermion and boson statistics.
publishDate 2015
dc.date.none.fl_str_mv 2015-12
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/11336/8230
Suárez, Gonzalo Pablo; Hoyuelos, Miguel Luis; Martin, Hector Omar; Mean-field approach for diffusion of interacting particles; American Physical Society; Physical Review E: Statistical, Nonlinear And Soft Matter Physics; 92; 6; 12-2015; 12135-12141
1539-3755
url http://hdl.handle.net/11336/8230
identifier_str_mv Suárez, Gonzalo Pablo; Hoyuelos, Miguel Luis; Martin, Hector Omar; Mean-field approach for diffusion of interacting particles; American Physical Society; Physical Review E: Statistical, Nonlinear And Soft Matter Physics; 92; 6; 12-2015; 12135-12141
1539-3755
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.062118
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.92.062118
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1509.06622v1
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 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
_version_ 1844613236342652928
score 13.070432

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