Nonlinear ionic transport through microstructured solid electrolytes: Homogenization estimates

Autores
Curto Sillamoni, Ignacio José; Idiart, Martín Ignacio
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider the transport of multiple ionic species by diffusion and migration through microstructured solid electrolytes in the presence of strong electric fields. The assumed constitutive relations for the constituent phases follow from convex energy and dissipation potentials which guarantee thermodynamic consistency. The effective response is heuristically deduced from a multi-scale convergence analysis of the relevant field equations. The resulting homogenized response involves an effective dissipation potential per species. Each potential is mathematically akin to that of a standard nonlinear heterogeneous conductor. A 'linear-comparison' homogenization technique is then used to generate estimates for these nonlinear potentials in terms of available estimates for corresponding linear conductors. By way of example, use is made of the Maxwell-Garnett and effective-medium linear approximations to generate estimates for two-phase systems with power-law dissipation. Explicit formulas are given for some limiting cases. In the case of threshold-type behavior, the estimates exhibit non-analytical dilute limits and seem to be consistent with fields localized in low energy paths.
Fil: Curto Sillamoni, Ignacio José. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Aeronáutica; Argentina
Fil: Idiart, Martín Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Aeronáutica; Argentina
Materia
Composites
Electrochemistry
Nonlinearity
Variational Methods
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
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Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
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oai_identifier_str oai:ri.conicet.gov.ar:11336/54879
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Nonlinear ionic transport through microstructured solid electrolytes: Homogenization estimatesCurto Sillamoni, Ignacio JoséIdiart, Martín IgnacioCompositesElectrochemistryNonlinearityVariational Methodshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We consider the transport of multiple ionic species by diffusion and migration through microstructured solid electrolytes in the presence of strong electric fields. The assumed constitutive relations for the constituent phases follow from convex energy and dissipation potentials which guarantee thermodynamic consistency. The effective response is heuristically deduced from a multi-scale convergence analysis of the relevant field equations. The resulting homogenized response involves an effective dissipation potential per species. Each potential is mathematically akin to that of a standard nonlinear heterogeneous conductor. A 'linear-comparison' homogenization technique is then used to generate estimates for these nonlinear potentials in terms of available estimates for corresponding linear conductors. By way of example, use is made of the Maxwell-Garnett and effective-medium linear approximations to generate estimates for two-phase systems with power-law dissipation. Explicit formulas are given for some limiting cases. In the case of threshold-type behavior, the estimates exhibit non-analytical dilute limits and seem to be consistent with fields localized in low energy paths.Fil: Curto Sillamoni, Ignacio José. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Aeronáutica; ArgentinaFil: Idiart, Martín Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Aeronáutica; ArgentinaIOP Publishing2016-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/54879Curto Sillamoni, Ignacio José; Idiart, Martín Ignacio; Nonlinear ionic transport through microstructured solid electrolytes: Homogenization estimates; IOP Publishing; Modelling And Simulation In Materials Science And Engineering; 24; 7; 9-2016; 1-16; 0750080965-0393CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1088/0965-0393/24/7/075008info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0965-0393/24/7/075008/metainfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-17T10:51:38Zoai:ri.conicet.gov.ar:11336/54879instacron: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:34982025-09-17 10:51:38.722CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Nonlinear ionic transport through microstructured solid electrolytes: Homogenization estimates
title Nonlinear ionic transport through microstructured solid electrolytes: Homogenization estimates
spellingShingle Nonlinear ionic transport through microstructured solid electrolytes: Homogenization estimates
Curto Sillamoni, Ignacio José
Composites
Electrochemistry
Nonlinearity
Variational Methods
title_short Nonlinear ionic transport through microstructured solid electrolytes: Homogenization estimates
title_full Nonlinear ionic transport through microstructured solid electrolytes: Homogenization estimates
title_fullStr Nonlinear ionic transport through microstructured solid electrolytes: Homogenization estimates
title_full_unstemmed Nonlinear ionic transport through microstructured solid electrolytes: Homogenization estimates
title_sort Nonlinear ionic transport through microstructured solid electrolytes: Homogenization estimates
dc.creator.none.fl_str_mv Curto Sillamoni, Ignacio José
Idiart, Martín Ignacio
author Curto Sillamoni, Ignacio José
author_facet Curto Sillamoni, Ignacio José
Idiart, Martín Ignacio
author_role author
author2 Idiart, Martín Ignacio
author2_role author
dc.subject.none.fl_str_mv Composites
Electrochemistry
Nonlinearity
Variational Methods
topic Composites
Electrochemistry
Nonlinearity
Variational Methods
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 consider the transport of multiple ionic species by diffusion and migration through microstructured solid electrolytes in the presence of strong electric fields. The assumed constitutive relations for the constituent phases follow from convex energy and dissipation potentials which guarantee thermodynamic consistency. The effective response is heuristically deduced from a multi-scale convergence analysis of the relevant field equations. The resulting homogenized response involves an effective dissipation potential per species. Each potential is mathematically akin to that of a standard nonlinear heterogeneous conductor. A 'linear-comparison' homogenization technique is then used to generate estimates for these nonlinear potentials in terms of available estimates for corresponding linear conductors. By way of example, use is made of the Maxwell-Garnett and effective-medium linear approximations to generate estimates for two-phase systems with power-law dissipation. Explicit formulas are given for some limiting cases. In the case of threshold-type behavior, the estimates exhibit non-analytical dilute limits and seem to be consistent with fields localized in low energy paths.
Fil: Curto Sillamoni, Ignacio José. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Aeronáutica; Argentina
Fil: Idiart, Martín Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Aeronáutica; Argentina
description We consider the transport of multiple ionic species by diffusion and migration through microstructured solid electrolytes in the presence of strong electric fields. The assumed constitutive relations for the constituent phases follow from convex energy and dissipation potentials which guarantee thermodynamic consistency. The effective response is heuristically deduced from a multi-scale convergence analysis of the relevant field equations. The resulting homogenized response involves an effective dissipation potential per species. Each potential is mathematically akin to that of a standard nonlinear heterogeneous conductor. A 'linear-comparison' homogenization technique is then used to generate estimates for these nonlinear potentials in terms of available estimates for corresponding linear conductors. By way of example, use is made of the Maxwell-Garnett and effective-medium linear approximations to generate estimates for two-phase systems with power-law dissipation. Explicit formulas are given for some limiting cases. In the case of threshold-type behavior, the estimates exhibit non-analytical dilute limits and seem to be consistent with fields localized in low energy paths.
publishDate 2016
dc.date.none.fl_str_mv 2016-09
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/11336/54879
Curto Sillamoni, Ignacio José; Idiart, Martín Ignacio; Nonlinear ionic transport through microstructured solid electrolytes: Homogenization estimates; IOP Publishing; Modelling And Simulation In Materials Science And Engineering; 24; 7; 9-2016; 1-16; 075008
0965-0393
CONICET Digital
CONICET
url http://hdl.handle.net/11336/54879
identifier_str_mv Curto Sillamoni, Ignacio José; Idiart, Martín Ignacio; Nonlinear ionic transport through microstructured solid electrolytes: Homogenization estimates; IOP Publishing; Modelling And Simulation In Materials Science And Engineering; 24; 7; 9-2016; 1-16; 075008
0965-0393
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1088/0965-0393/24/7/075008
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0965-0393/24/7/075008/meta
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 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 12.990902

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