Surface-diffusion-driven decay of patterns: beyond the small slopes approximation

Autores
Castez, Marcos Federico
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
By combining analytical results and computer simulations, we studied the continuous theory  of surface diffusion applied to the decay of periodic high-aspect-ratio patterned substrates. Our results show that, after a transient stage, and for a broad class of initial conditions,  patterns adopt a "universal" mathematically well-specified shape that depends on two coefficients. Moreover, we were able to determine the time-dependence of such coefficients,  which enabled us to mathematically reconstruct the pattern´s shape at any subsequent time. So, our analysis can be a useful predictive theoretical tool for the design and interpretation of  experiments on thermal treatments of high-aspect-ratio patterns.
Fil: Castez, Marcos Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina
Materia
SURFACE DIFFUSION
HIGH-ASPECT-RATIO NANOSTRUCTURES
HIGH-TEMPERATURE ANNEALING
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:11336/279839
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Surface-diffusion-driven decay of patterns: beyond the small slopes approximationCastez, Marcos FedericoSURFACE DIFFUSIONHIGH-ASPECT-RATIO NANOSTRUCTURESHIGH-TEMPERATURE ANNEALINGhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1By combining analytical results and computer simulations, we studied the continuous theory  of surface diffusion applied to the decay of periodic high-aspect-ratio patterned substrates. Our results show that, after a transient stage, and for a broad class of initial conditions,  patterns adopt a "universal" mathematically well-specified shape that depends on two coefficients. Moreover, we were able to determine the time-dependence of such coefficients,  which enabled us to mathematically reconstruct the pattern´s shape at any subsequent time. So, our analysis can be a useful predictive theoretical tool for the design and interpretation of  experiments on thermal treatments of high-aspect-ratio patterns.Fil: Castez, Marcos Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; ArgentinaIOP Publishing2010-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/279839Castez, Marcos Federico; Surface-diffusion-driven decay of patterns: beyond the small slopes approximation; IOP Publishing; Journal of Physics: Condensed Matter; 22; 34; 8-2010; 1-200953-8984CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/0953-8984/22/34/345007info:eu-repo/semantics/altIdentifier/doi/10.1088/0953-8984/22/34/345007info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-02-26T10:10:17Zoai:ri.conicet.gov.ar:11336/279839instacron: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 10:10:17.432CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Surface-diffusion-driven decay of patterns: beyond the small slopes approximation
title Surface-diffusion-driven decay of patterns: beyond the small slopes approximation
spellingShingle Surface-diffusion-driven decay of patterns: beyond the small slopes approximation
Castez, Marcos Federico
SURFACE DIFFUSION
HIGH-ASPECT-RATIO NANOSTRUCTURES
HIGH-TEMPERATURE ANNEALING
title_short Surface-diffusion-driven decay of patterns: beyond the small slopes approximation
title_full Surface-diffusion-driven decay of patterns: beyond the small slopes approximation
title_fullStr Surface-diffusion-driven decay of patterns: beyond the small slopes approximation
title_full_unstemmed Surface-diffusion-driven decay of patterns: beyond the small slopes approximation
title_sort Surface-diffusion-driven decay of patterns: beyond the small slopes approximation
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
HIGH-ASPECT-RATIO NANOSTRUCTURES
HIGH-TEMPERATURE ANNEALING
topic SURFACE DIFFUSION
HIGH-ASPECT-RATIO NANOSTRUCTURES
HIGH-TEMPERATURE ANNEALING
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv By combining analytical results and computer simulations, we studied the continuous theory  of surface diffusion applied to the decay of periodic high-aspect-ratio patterned substrates. Our results show that, after a transient stage, and for a broad class of initial conditions,  patterns adopt a "universal" mathematically well-specified shape that depends on two coefficients. Moreover, we were able to determine the time-dependence of such coefficients,  which enabled us to mathematically reconstruct the pattern´s shape at any subsequent time. So, our analysis can be a useful predictive theoretical tool for the design and interpretation of  experiments on thermal treatments of high-aspect-ratio patterns.
Fil: Castez, Marcos Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina
description By combining analytical results and computer simulations, we studied the continuous theory  of surface diffusion applied to the decay of periodic high-aspect-ratio patterned substrates. Our results show that, after a transient stage, and for a broad class of initial conditions,  patterns adopt a "universal" mathematically well-specified shape that depends on two coefficients. Moreover, we were able to determine the time-dependence of such coefficients,  which enabled us to mathematically reconstruct the pattern´s shape at any subsequent time. So, our analysis can be a useful predictive theoretical tool for the design and interpretation of  experiments on thermal treatments of high-aspect-ratio patterns.
publishDate 2010
dc.date.none.fl_str_mv 2010-08
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/11336/279839
Castez, Marcos Federico; Surface-diffusion-driven decay of patterns: beyond the small slopes approximation; IOP Publishing; Journal of Physics: Condensed Matter; 22; 34; 8-2010; 1-20
0953-8984
CONICET Digital
CONICET
url http://hdl.handle.net/11336/279839
identifier_str_mv Castez, Marcos Federico; Surface-diffusion-driven decay of patterns: beyond the small slopes approximation; IOP Publishing; Journal of Physics: Condensed Matter; 22; 34; 8-2010; 1-20
0953-8984
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/0953-8984/22/34/345007
info:eu-repo/semantics/altIdentifier/doi/10.1088/0953-8984/22/34/345007
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 13.176822

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