Critical wetting in the two-dimensional Ising ferromagnet confined between inhomogeneous walls

Autores
Trobo, Marta Liliana; Albano, Ezequiel Vicente
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present a numerical study of the critical wetting behavior of an Ising magnet confined between two walls, separated by a distance L, where short-range inhomogeneous surface magnetic fields act. So, samples are assumed to have a size L × M, L being the width and M the length, respectively. By considering surface fields varying spatially with a given wavelength or period (λ), H1(x, λ) with 1 ≤ x ≤ M, we found that the wetting temperature is given by the exact result of Abraham [D.B. Abraham, Phys. Rev. Lett. 44, 1165 (1980)] provided that an effective field given by the spacial average value (Heff ≡ 1 λ λ 0 H1(x, λ)dx > 0) is considered. The above results hold in the low wavelength regime, while for λ → ∞ and a bivaluated surface field (i.e., Hmax for x ≤ M/2, and δHmax for x > M/2, with 0 <δ< 1), one observes two almost independent wetting transitions, both being compatible with Abraham’s exact results corresponding to Hmax and δHmax, respectively. On the other hand, for H1(x, λ) = 0 but Heff = 0 bulk standard critical behavior results is observed.
Fil: Trobo, Marta Liliana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina
Fil: Albano, Ezequiel Vicente. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina
Materia
Wetting
Ising
Confined
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:11336/34278
Acceder
id CONICETDig_732f0714ca365d578a738ab32e71df89
oai_identifier_str oai:ri.conicet.gov.ar:11336/34278
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Critical wetting in the two-dimensional Ising ferromagnet confined between inhomogeneous wallsTrobo, Marta LilianaAlbano, Ezequiel VicenteWettingIsingConfinedhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We present a numerical study of the critical wetting behavior of an Ising magnet confined between two walls, separated by a distance L, where short-range inhomogeneous surface magnetic fields act. So, samples are assumed to have a size L × M, L being the width and M the length, respectively. By considering surface fields varying spatially with a given wavelength or period (λ), H1(x, λ) with 1 ≤ x ≤ M, we found that the wetting temperature is given by the exact result of Abraham [D.B. Abraham, Phys. Rev. Lett. 44, 1165 (1980)] provided that an effective field given by the spacial average value (Heff ≡ 1 λ λ 0 H1(x, λ)dx > 0) is considered. The above results hold in the low wavelength regime, while for λ → ∞ and a bivaluated surface field (i.e., Hmax for x ≤ M/2, and δHmax for x > M/2, with 0 <δ< 1), one observes two almost independent wetting transitions, both being compatible with Abraham’s exact results corresponding to Hmax and δHmax, respectively. On the other hand, for H1(x, λ) = 0 but Heff = 0 bulk standard critical behavior results is observed.Fil: Trobo, Marta Liliana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; ArgentinaFil: Albano, Ezequiel Vicente. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; ArgentinaSpringer2014-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/34278Trobo, Marta Liliana; Albano, Ezequiel Vicente; Critical wetting in the two-dimensional Ising ferromagnet confined between inhomogeneous walls; Springer; European Physical Journal B - Condensed Matter; 87; 12-2014; 1-11; 3031434-60281434-6036CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1140/epjb/e2014-50336-5info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1140%2Fepjb%2Fe2014-50336-5info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:04:12Zoai:ri.conicet.gov.ar:11336/34278instacron: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:34982025-09-03 10:04:12.677CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Critical wetting in the two-dimensional Ising ferromagnet confined between inhomogeneous walls
title Critical wetting in the two-dimensional Ising ferromagnet confined between inhomogeneous walls
spellingShingle Critical wetting in the two-dimensional Ising ferromagnet confined between inhomogeneous walls
Trobo, Marta Liliana
Wetting
Ising
Confined
title_short Critical wetting in the two-dimensional Ising ferromagnet confined between inhomogeneous walls
title_full Critical wetting in the two-dimensional Ising ferromagnet confined between inhomogeneous walls
title_fullStr Critical wetting in the two-dimensional Ising ferromagnet confined between inhomogeneous walls
title_full_unstemmed Critical wetting in the two-dimensional Ising ferromagnet confined between inhomogeneous walls
title_sort Critical wetting in the two-dimensional Ising ferromagnet confined between inhomogeneous walls
dc.creator.none.fl_str_mv Trobo, Marta Liliana
Albano, Ezequiel Vicente
author Trobo, Marta Liliana
author_facet Trobo, Marta Liliana
Albano, Ezequiel Vicente
author_role author
author2 Albano, Ezequiel Vicente
author2_role author
dc.subject.none.fl_str_mv Wetting
Ising
Confined
topic Wetting
Ising
Confined
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 numerical study of the critical wetting behavior of an Ising magnet confined between two walls, separated by a distance L, where short-range inhomogeneous surface magnetic fields act. So, samples are assumed to have a size L × M, L being the width and M the length, respectively. By considering surface fields varying spatially with a given wavelength or period (λ), H1(x, λ) with 1 ≤ x ≤ M, we found that the wetting temperature is given by the exact result of Abraham [D.B. Abraham, Phys. Rev. Lett. 44, 1165 (1980)] provided that an effective field given by the spacial average value (Heff ≡ 1 λ λ 0 H1(x, λ)dx > 0) is considered. The above results hold in the low wavelength regime, while for λ → ∞ and a bivaluated surface field (i.e., Hmax for x ≤ M/2, and δHmax for x > M/2, with 0 <δ< 1), one observes two almost independent wetting transitions, both being compatible with Abraham’s exact results corresponding to Hmax and δHmax, respectively. On the other hand, for H1(x, λ) = 0 but Heff = 0 bulk standard critical behavior results is observed.
Fil: Trobo, Marta Liliana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina
Fil: Albano, Ezequiel Vicente. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina
description We present a numerical study of the critical wetting behavior of an Ising magnet confined between two walls, separated by a distance L, where short-range inhomogeneous surface magnetic fields act. So, samples are assumed to have a size L × M, L being the width and M the length, respectively. By considering surface fields varying spatially with a given wavelength or period (λ), H1(x, λ) with 1 ≤ x ≤ M, we found that the wetting temperature is given by the exact result of Abraham [D.B. Abraham, Phys. Rev. Lett. 44, 1165 (1980)] provided that an effective field given by the spacial average value (Heff ≡ 1 λ λ 0 H1(x, λ)dx > 0) is considered. The above results hold in the low wavelength regime, while for λ → ∞ and a bivaluated surface field (i.e., Hmax for x ≤ M/2, and δHmax for x > M/2, with 0 <δ< 1), one observes two almost independent wetting transitions, both being compatible with Abraham’s exact results corresponding to Hmax and δHmax, respectively. On the other hand, for H1(x, λ) = 0 but Heff = 0 bulk standard critical behavior results is observed.
publishDate 2014
dc.date.none.fl_str_mv 2014-12
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/11336/34278
Trobo, Marta Liliana; Albano, Ezequiel Vicente; Critical wetting in the two-dimensional Ising ferromagnet confined between inhomogeneous walls; Springer; European Physical Journal B - Condensed Matter; 87; 12-2014; 1-11; 303
1434-6028
1434-6036
CONICET Digital
CONICET
url http://hdl.handle.net/11336/34278
identifier_str_mv Trobo, Marta Liliana; Albano, Ezequiel Vicente; Critical wetting in the two-dimensional Ising ferromagnet confined between inhomogeneous walls; Springer; European Physical Journal B - Condensed Matter; 87; 12-2014; 1-11; 303
1434-6028
1434-6036
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1140/epjb/e2014-50336-5
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1140%2Fepjb%2Fe2014-50336-5
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
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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
_version_ 1842269844014104576
score 13.13397

Publicaciones similares