A model for diffusive systems: Beyond the Arrhenius mechanism

Autores
Rosa, A.C.P.; Vaveliuk, Pablo; Mundim, Kleber C.; Moret, M.A.
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Diffusivity in supercooled liquids was observed to exhibit a non-Arrhenius behavior near the glass-transition temperature. This process, which occurs where the activation energy depends on the temperature, suggests the possibility of a metastable equilibrium. This peculiar phenomenon cannot be explained using the usual Markovian stochastic models. Based on a non-linear Fokker-Planck equation, we propose a diffusion coefficient that is proportional to the supercooled-liquid concentration. The proposed model allows us to explain the anomalous behavior of the diffusivity robustly. We demonstrate that this new approach is consistent with experimental patterns. Besides, it could be applied to non-Arrhenius chemical kinetics.
Fil: Rosa, A.C.P.. Programa de Modelagem Computacional; Brasil. Universidade Federal do Oeste da Bahia; Brasil
Fil: Vaveliuk, Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Investigaciones Ópticas. Provincia de Buenos Aires. Gobernación. Comisión de Investigaciones Científicas. Centro de Investigaciones Ópticas. Universidad Nacional de La Plata. Centro de Investigaciones Ópticas; Argentina. Provincia de Buenos Aires. Gobernación. Comisión de Investigaciones Científicas; Argentina
Fil: Mundim, Kleber C.. Universidade de Brasília; Brasil
Fil: Moret, M.A.. Programa de Modelagem Computacional; Brasil. Universidade do Estado da Bahia; Brasil
Materia
Deformed Exponential
Nonadditivity
Nonlinear Fokker-Planck Equation
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:11336/49215
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A model for diffusive systems: Beyond the Arrhenius mechanismRosa, A.C.P.Vaveliuk, PabloMundim, Kleber C.Moret, M.A.Deformed ExponentialNonadditivityNonlinear Fokker-Planck Equationhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Diffusivity in supercooled liquids was observed to exhibit a non-Arrhenius behavior near the glass-transition temperature. This process, which occurs where the activation energy depends on the temperature, suggests the possibility of a metastable equilibrium. This peculiar phenomenon cannot be explained using the usual Markovian stochastic models. Based on a non-linear Fokker-Planck equation, we propose a diffusion coefficient that is proportional to the supercooled-liquid concentration. The proposed model allows us to explain the anomalous behavior of the diffusivity robustly. We demonstrate that this new approach is consistent with experimental patterns. Besides, it could be applied to non-Arrhenius chemical kinetics.Fil: Rosa, A.C.P.. Programa de Modelagem Computacional; Brasil. Universidade Federal do Oeste da Bahia; BrasilFil: Vaveliuk, Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Investigaciones Ópticas. Provincia de Buenos Aires. Gobernación. Comisión de Investigaciones Científicas. Centro de Investigaciones Ópticas. Universidad Nacional de La Plata. Centro de Investigaciones Ópticas; Argentina. Provincia de Buenos Aires. Gobernación. Comisión de Investigaciones Científicas; ArgentinaFil: Mundim, Kleber C.. Universidade de Brasília; BrasilFil: Moret, M.A.. Programa de Modelagem Computacional; Brasil. Universidade do Estado da Bahia; BrasilElsevier Science2016-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/49215Rosa, A.C.P.; Vaveliuk, Pablo; Mundim, Kleber C.; Moret, M.A.; A model for diffusive systems: Beyond the Arrhenius mechanism; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 450; 5-2016; 317-3220378-4371CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2015.12.122info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0378437115011590info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-29T11:14:12Zoai:ri.conicet.gov.ar:11336/49215instacron: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:34982025-10-29 11:14:12.449CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A model for diffusive systems: Beyond the Arrhenius mechanism
title A model for diffusive systems: Beyond the Arrhenius mechanism
spellingShingle A model for diffusive systems: Beyond the Arrhenius mechanism
Rosa, A.C.P.
Deformed Exponential
Nonadditivity
Nonlinear Fokker-Planck Equation
title_short A model for diffusive systems: Beyond the Arrhenius mechanism
title_full A model for diffusive systems: Beyond the Arrhenius mechanism
title_fullStr A model for diffusive systems: Beyond the Arrhenius mechanism
title_full_unstemmed A model for diffusive systems: Beyond the Arrhenius mechanism
title_sort A model for diffusive systems: Beyond the Arrhenius mechanism
dc.creator.none.fl_str_mv Rosa, A.C.P.
Vaveliuk, Pablo
Mundim, Kleber C.
Moret, M.A.
author Rosa, A.C.P.
author_facet Rosa, A.C.P.
Vaveliuk, Pablo
Mundim, Kleber C.
Moret, M.A.
author_role author
author2 Vaveliuk, Pablo
Mundim, Kleber C.
Moret, M.A.
author2_role author
author
author
dc.subject.none.fl_str_mv Deformed Exponential
Nonadditivity
Nonlinear Fokker-Planck Equation
topic Deformed Exponential
Nonadditivity
Nonlinear Fokker-Planck Equation
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Diffusivity in supercooled liquids was observed to exhibit a non-Arrhenius behavior near the glass-transition temperature. This process, which occurs where the activation energy depends on the temperature, suggests the possibility of a metastable equilibrium. This peculiar phenomenon cannot be explained using the usual Markovian stochastic models. Based on a non-linear Fokker-Planck equation, we propose a diffusion coefficient that is proportional to the supercooled-liquid concentration. The proposed model allows us to explain the anomalous behavior of the diffusivity robustly. We demonstrate that this new approach is consistent with experimental patterns. Besides, it could be applied to non-Arrhenius chemical kinetics.
Fil: Rosa, A.C.P.. Programa de Modelagem Computacional; Brasil. Universidade Federal do Oeste da Bahia; Brasil
Fil: Vaveliuk, Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Investigaciones Ópticas. Provincia de Buenos Aires. Gobernación. Comisión de Investigaciones Científicas. Centro de Investigaciones Ópticas. Universidad Nacional de La Plata. Centro de Investigaciones Ópticas; Argentina. Provincia de Buenos Aires. Gobernación. Comisión de Investigaciones Científicas; Argentina
Fil: Mundim, Kleber C.. Universidade de Brasília; Brasil
Fil: Moret, M.A.. Programa de Modelagem Computacional; Brasil. Universidade do Estado da Bahia; Brasil
description Diffusivity in supercooled liquids was observed to exhibit a non-Arrhenius behavior near the glass-transition temperature. This process, which occurs where the activation energy depends on the temperature, suggests the possibility of a metastable equilibrium. This peculiar phenomenon cannot be explained using the usual Markovian stochastic models. Based on a non-linear Fokker-Planck equation, we propose a diffusion coefficient that is proportional to the supercooled-liquid concentration. The proposed model allows us to explain the anomalous behavior of the diffusivity robustly. We demonstrate that this new approach is consistent with experimental patterns. Besides, it could be applied to non-Arrhenius chemical kinetics.
publishDate 2016
dc.date.none.fl_str_mv 2016-05
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/11336/49215
Rosa, A.C.P.; Vaveliuk, Pablo; Mundim, Kleber C.; Moret, M.A.; A model for diffusive systems: Beyond the Arrhenius mechanism; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 450; 5-2016; 317-322
0378-4371
CONICET Digital
CONICET
url http://hdl.handle.net/11336/49215
identifier_str_mv Rosa, A.C.P.; Vaveliuk, Pablo; Mundim, Kleber C.; Moret, M.A.; A model for diffusive systems: Beyond the Arrhenius mechanism; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 450; 5-2016; 317-322
0378-4371
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2015.12.122
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0378437115011590
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 Elsevier Science
publisher.none.fl_str_mv Elsevier Science
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 13.10058

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