N-fold symmetric two-dimensional shapes evolving by surface diffusion

Autores
Castez, Marcos Federico
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present theoretical and numerical results concerning the surface-diffusion-driven evolution of closed 2D interfaces having n-fold rotational symmetry such as gear- and star-type shapes. We find a family of approximate solutions depending on a few parameters; by solving the time dependence of such parameters, we can predict the evolution of interface morphology in close agreement with numerical results. Finally, we show how our findings can be applied in some practical cases to get a mathematical description of interface morphology just by determining a few characteristic features.
Fil: Castez, Marcos Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico la Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina. Universidad Nacional de La Plata; Argentina
Materia
Surface Diffusion
Thermal Stability
Interface Formation
Patterned Structures
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:11336/5319

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network_name_str CONICET Digital (CONICET)
spelling N-fold symmetric two-dimensional shapes evolving by surface diffusionCastez, Marcos FedericoSurface DiffusionThermal StabilityInterface FormationPatterned Structureshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We present theoretical and numerical results concerning the surface-diffusion-driven evolution of closed 2D interfaces having n-fold rotational symmetry such as gear- and star-type shapes. We find a family of approximate solutions depending on a few parameters; by solving the time dependence of such parameters, we can predict the evolution of interface morphology in close agreement with numerical results. Finally, we show how our findings can be applied in some practical cases to get a mathematical description of interface morphology just by determining a few characteristic features.Fil: Castez, Marcos Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico la Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina. Universidad Nacional de La Plata; ArgentinaEurophysics Letters2013-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/5319Castez, Marcos Federico; N-fold symmetric two-dimensional shapes evolving by surface diffusion; Europhysics Letters; Europhysics Letters; 104; 3; 12-2013; 36003-360030295-5075enginfo:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/0295-5075/104/3/36003/info:eu-repo/semantics/altIdentifier/doi/10.1209/0295-5075/104/36003info:eu-repo/semantics/altIdentifier/doi/info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-02-26T10:11:36Zoai:ri.conicet.gov.ar:11336/5319instacron: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:34982026-02-26 10:11:36.562CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv N-fold symmetric two-dimensional shapes evolving by surface diffusion
title N-fold symmetric two-dimensional shapes evolving by surface diffusion
spellingShingle N-fold symmetric two-dimensional shapes evolving by surface diffusion
Castez, Marcos Federico
Surface Diffusion
Thermal Stability
Interface Formation
Patterned Structures
title_short N-fold symmetric two-dimensional shapes evolving by surface diffusion
title_full N-fold symmetric two-dimensional shapes evolving by surface diffusion
title_fullStr N-fold symmetric two-dimensional shapes evolving by surface diffusion
title_full_unstemmed N-fold symmetric two-dimensional shapes evolving by surface diffusion
title_sort N-fold symmetric two-dimensional shapes evolving by surface diffusion
dc.creator.none.fl_str_mv Castez, Marcos Federico
author Castez, Marcos Federico
author_facet Castez, Marcos Federico
author_role author
dc.subject.none.fl_str_mv Surface Diffusion
Thermal Stability
Interface Formation
Patterned Structures
topic Surface Diffusion
Thermal Stability
Interface Formation
Patterned Structures
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 theoretical and numerical results concerning the surface-diffusion-driven evolution of closed 2D interfaces having n-fold rotational symmetry such as gear- and star-type shapes. We find a family of approximate solutions depending on a few parameters; by solving the time dependence of such parameters, we can predict the evolution of interface morphology in close agreement with numerical results. Finally, we show how our findings can be applied in some practical cases to get a mathematical description of interface morphology just by determining a few characteristic features.
Fil: Castez, Marcos Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico la Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina. Universidad Nacional de La Plata; Argentina
description We present theoretical and numerical results concerning the surface-diffusion-driven evolution of closed 2D interfaces having n-fold rotational symmetry such as gear- and star-type shapes. We find a family of approximate solutions depending on a few parameters; by solving the time dependence of such parameters, we can predict the evolution of interface morphology in close agreement with numerical results. Finally, we show how our findings can be applied in some practical cases to get a mathematical description of interface morphology just by determining a few characteristic features.
publishDate 2013
dc.date.none.fl_str_mv 2013-12
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/11336/5319
Castez, Marcos Federico; N-fold symmetric two-dimensional shapes evolving by surface diffusion; Europhysics Letters; Europhysics Letters; 104; 3; 12-2013; 36003-36003
0295-5075
url http://hdl.handle.net/11336/5319
identifier_str_mv Castez, Marcos Federico; N-fold symmetric two-dimensional shapes evolving by surface diffusion; Europhysics Letters; Europhysics Letters; 104; 3; 12-2013; 36003-36003
0295-5075
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/0295-5075/104/3/36003/
info:eu-repo/semantics/altIdentifier/doi/10.1209/0295-5075/104/36003
info:eu-repo/semantics/altIdentifier/doi/
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 Europhysics Letters
publisher.none.fl_str_mv Europhysics Letters
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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