Generalized Fourier analysis for nanopatterns with overhangs

Autores
Castez, Marcos Federico
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present a new approach to the classic problem of surface-diffusion?driven pattern decay,  relevant in nanoscale applications. By means of a generalized Fourier expansion of  the pattern shape, considered as a quasiperiodic function, we can very accurately describe the  pattern shape during the whole decay process. The approach is especially suitable for those cases in which patterns cannot be described by single-valued functions, i.e. patterns with overhangs. Symmetry considerations on the initial interface can be used to obtain relationships involving the expansion coefficients. Finally, by using a low-order expansion in the case of an initially sinusoidal interface, we obtained the time dependence of the amplitude decay, improving the linear-theory approximation.
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
GENERALIZED FOURIER ANALYSIS
PATTERNS WITH OVERHANGS
APPLIED MATHEMATICS
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:11336/275532
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/275532
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Generalized Fourier analysis for nanopatterns with overhangsCastez, Marcos FedericoSURFACE DIFFUSIONGENERALIZED FOURIER ANALYSISPATTERNS WITH OVERHANGSAPPLIED MATHEMATICShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We present a new approach to the classic problem of surface-diffusion?driven pattern decay,  relevant in nanoscale applications. By means of a generalized Fourier expansion of  the pattern shape, considered as a quasiperiodic function, we can very accurately describe the  pattern shape during the whole decay process. The approach is especially suitable for those cases in which patterns cannot be described by single-valued functions, i.e. patterns with overhangs. Symmetry considerations on the initial interface can be used to obtain relationships involving the expansion coefficients. Finally, by using a low-order expansion in the case of an initially sinusoidal interface, we obtained the time dependence of the amplitude decay, improving the linear-theory approximation.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; ArgentinaEurophysics Letters2010-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/275532Castez, Marcos Federico; Generalized Fourier analysis for nanopatterns with overhangs; Europhysics Letters; Europhysics Letters; 89; 2; 2-2010; 28001-280060295-5075CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/0295-5075/89/2/28001info:eu-repo/semantics/altIdentifier/doi/10.1209/0295-5075/89/28001info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-01-14T12:23:07Zoai:ri.conicet.gov.ar:11336/275532instacron: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:34982026-01-14 12:23:07.927CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Generalized Fourier analysis for nanopatterns with overhangs
title Generalized Fourier analysis for nanopatterns with overhangs
spellingShingle Generalized Fourier analysis for nanopatterns with overhangs
Castez, Marcos Federico
SURFACE DIFFUSION
GENERALIZED FOURIER ANALYSIS
PATTERNS WITH OVERHANGS
APPLIED MATHEMATICS
title_short Generalized Fourier analysis for nanopatterns with overhangs
title_full Generalized Fourier analysis for nanopatterns with overhangs
title_fullStr Generalized Fourier analysis for nanopatterns with overhangs
title_full_unstemmed Generalized Fourier analysis for nanopatterns with overhangs
title_sort Generalized Fourier analysis for nanopatterns with overhangs
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
GENERALIZED FOURIER ANALYSIS
PATTERNS WITH OVERHANGS
APPLIED MATHEMATICS
topic SURFACE DIFFUSION
GENERALIZED FOURIER ANALYSIS
PATTERNS WITH OVERHANGS
APPLIED MATHEMATICS
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 a new approach to the classic problem of surface-diffusion?driven pattern decay,  relevant in nanoscale applications. By means of a generalized Fourier expansion of  the pattern shape, considered as a quasiperiodic function, we can very accurately describe the  pattern shape during the whole decay process. The approach is especially suitable for those cases in which patterns cannot be described by single-valued functions, i.e. patterns with overhangs. Symmetry considerations on the initial interface can be used to obtain relationships involving the expansion coefficients. Finally, by using a low-order expansion in the case of an initially sinusoidal interface, we obtained the time dependence of the amplitude decay, improving the linear-theory approximation.
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 We present a new approach to the classic problem of surface-diffusion?driven pattern decay,  relevant in nanoscale applications. By means of a generalized Fourier expansion of  the pattern shape, considered as a quasiperiodic function, we can very accurately describe the  pattern shape during the whole decay process. The approach is especially suitable for those cases in which patterns cannot be described by single-valued functions, i.e. patterns with overhangs. Symmetry considerations on the initial interface can be used to obtain relationships involving the expansion coefficients. Finally, by using a low-order expansion in the case of an initially sinusoidal interface, we obtained the time dependence of the amplitude decay, improving the linear-theory approximation.
publishDate 2010
dc.date.none.fl_str_mv 2010-02
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/11336/275532
Castez, Marcos Federico; Generalized Fourier analysis for nanopatterns with overhangs; Europhysics Letters; Europhysics Letters; 89; 2; 2-2010; 28001-28006
0295-5075
CONICET Digital
CONICET
url http://hdl.handle.net/11336/275532
identifier_str_mv Castez, Marcos Federico; Generalized Fourier analysis for nanopatterns with overhangs; Europhysics Letters; Europhysics Letters; 89; 2; 2-2010; 28001-28006
0295-5075
CONICET Digital
CONICET
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/0295-5075/89/2/28001
info:eu-repo/semantics/altIdentifier/doi/10.1209/0295-5075/89/28001
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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score 12.603104

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