First-order and tricritical wetting transitions in the two-dimensional Ising model caused by interfacial pinning at a defect line

Autores
Trobo, Marta Liliana; Albano, Ezequiel Vicente; Binder, Kurt
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present a study of the critical behavior of the Blume-Capel model with three spin states (S=±1,0) confined between parallel walls separated by a distance L where competitive surface magnetic fields act. By properly choosing the crystal field (D), which regulates the density of nonmagnetic species (S=0), such that those impurities are excluded from the bulk (where D=) except in the middle of the sample [where DM(L/2)≠], we are able to control the presence of a defect line in the middle of the sample and study its influence on the interface between domains of different spin orientations. So essentially we study an Ising model with a defect line but, unlike previous work where defect lines in Ising models were defined via weakened bonds, in the present case the defect line is due to mobile vacancies and hence involves additional entropy. In this way, by drawing phase diagrams, i.e., plots of the wetting critical temperature (Tw) versus the magnitude of the crystal field at the middle of the sample (DM), we observe curves of (first-) second-order wetting transitions for (small) high values of DM. Theses lines meet in tricritical wetting points, i.e., (Twtc,DMtc), which also depend on the magnitude of the surface magnetic fields. It is found that second-order wetting transitions satisfy the scaling theory for short-range interactions, while first-order ones do not exhibit hysteresis, provided that small samples are used, since fluctuations wash out hysteretic effects. Since hysteresis is observed in large samples, we performed extensive thermodynamic integrations in order to accurately locate the first-order transition points, and a rather good agreement is found by comparing such results with those obtained just by observing the jump of the order parameter in small samples.
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
Fil: Binder, Kurt. Johannes Gutenberg Universitat Mainz; Alemania
Materia
Transiciones de mojado
Interfaces
Materiales confinados
Simulaciones computacionales
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:11336/87959
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling First-order and tricritical wetting transitions in the two-dimensional Ising model caused by interfacial pinning at a defect lineTrobo, Marta LilianaAlbano, Ezequiel VicenteBinder, KurtTransiciones de mojadoInterfacesMateriales confinadosSimulaciones computacionaleshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We present a study of the critical behavior of the Blume-Capel model with three spin states (S=±1,0) confined between parallel walls separated by a distance L where competitive surface magnetic fields act. By properly choosing the crystal field (D), which regulates the density of nonmagnetic species (S=0), such that those impurities are excluded from the bulk (where D=) except in the middle of the sample [where DM(L/2)≠], we are able to control the presence of a defect line in the middle of the sample and study its influence on the interface between domains of different spin orientations. So essentially we study an Ising model with a defect line but, unlike previous work where defect lines in Ising models were defined via weakened bonds, in the present case the defect line is due to mobile vacancies and hence involves additional entropy. In this way, by drawing phase diagrams, i.e., plots of the wetting critical temperature (Tw) versus the magnitude of the crystal field at the middle of the sample (DM), we observe curves of (first-) second-order wetting transitions for (small) high values of DM. Theses lines meet in tricritical wetting points, i.e., (Twtc,DMtc), which also depend on the magnitude of the surface magnetic fields. It is found that second-order wetting transitions satisfy the scaling theory for short-range interactions, while first-order ones do not exhibit hysteresis, provided that small samples are used, since fluctuations wash out hysteretic effects. Since hysteresis is observed in large samples, we performed extensive thermodynamic integrations in order to accurately locate the first-order transition points, and a rather good agreement is found by comparing such results with those obtained just by observing the jump of the order parameter in small samples.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; ArgentinaFil: Binder, Kurt. Johannes Gutenberg Universitat Mainz; AlemaniaAmerican Physical Society2014-08info: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/11336/87959Trobo, Marta Liliana; Albano, Ezequiel Vicente; Binder, Kurt; First-order and tricritical wetting transitions in the two-dimensional Ising model caused by interfacial pinning at a defect line; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 90; 2; 8-20141539-3755CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.90.022406info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.90.022406info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:04:09Zoai:ri.conicet.gov.ar:11336/87959instacron: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:34982025-09-10 13:04:09.415CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv First-order and tricritical wetting transitions in the two-dimensional Ising model caused by interfacial pinning at a defect line
title First-order and tricritical wetting transitions in the two-dimensional Ising model caused by interfacial pinning at a defect line
spellingShingle First-order and tricritical wetting transitions in the two-dimensional Ising model caused by interfacial pinning at a defect line
Trobo, Marta Liliana
Transiciones de mojado
Interfaces
Materiales confinados
Simulaciones computacionales
title_short First-order and tricritical wetting transitions in the two-dimensional Ising model caused by interfacial pinning at a defect line
title_full First-order and tricritical wetting transitions in the two-dimensional Ising model caused by interfacial pinning at a defect line
title_fullStr First-order and tricritical wetting transitions in the two-dimensional Ising model caused by interfacial pinning at a defect line
title_full_unstemmed First-order and tricritical wetting transitions in the two-dimensional Ising model caused by interfacial pinning at a defect line
title_sort First-order and tricritical wetting transitions in the two-dimensional Ising model caused by interfacial pinning at a defect line
dc.creator.none.fl_str_mv Trobo, Marta Liliana
Albano, Ezequiel Vicente
Binder, Kurt
author Trobo, Marta Liliana
author_facet Trobo, Marta Liliana
Albano, Ezequiel Vicente
Binder, Kurt
author_role author
author2 Albano, Ezequiel Vicente
Binder, Kurt
author2_role author
author
dc.subject.none.fl_str_mv Transiciones de mojado
Interfaces
Materiales confinados
Simulaciones computacionales
topic Transiciones de mojado
Interfaces
Materiales confinados
Simulaciones computacionales
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 study of the critical behavior of the Blume-Capel model with three spin states (S=±1,0) confined between parallel walls separated by a distance L where competitive surface magnetic fields act. By properly choosing the crystal field (D), which regulates the density of nonmagnetic species (S=0), such that those impurities are excluded from the bulk (where D=) except in the middle of the sample [where DM(L/2)≠], we are able to control the presence of a defect line in the middle of the sample and study its influence on the interface between domains of different spin orientations. So essentially we study an Ising model with a defect line but, unlike previous work where defect lines in Ising models were defined via weakened bonds, in the present case the defect line is due to mobile vacancies and hence involves additional entropy. In this way, by drawing phase diagrams, i.e., plots of the wetting critical temperature (Tw) versus the magnitude of the crystal field at the middle of the sample (DM), we observe curves of (first-) second-order wetting transitions for (small) high values of DM. Theses lines meet in tricritical wetting points, i.e., (Twtc,DMtc), which also depend on the magnitude of the surface magnetic fields. It is found that second-order wetting transitions satisfy the scaling theory for short-range interactions, while first-order ones do not exhibit hysteresis, provided that small samples are used, since fluctuations wash out hysteretic effects. Since hysteresis is observed in large samples, we performed extensive thermodynamic integrations in order to accurately locate the first-order transition points, and a rather good agreement is found by comparing such results with those obtained just by observing the jump of the order parameter in small samples.
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
Fil: Binder, Kurt. Johannes Gutenberg Universitat Mainz; Alemania
description We present a study of the critical behavior of the Blume-Capel model with three spin states (S=±1,0) confined between parallel walls separated by a distance L where competitive surface magnetic fields act. By properly choosing the crystal field (D), which regulates the density of nonmagnetic species (S=0), such that those impurities are excluded from the bulk (where D=) except in the middle of the sample [where DM(L/2)≠], we are able to control the presence of a defect line in the middle of the sample and study its influence on the interface between domains of different spin orientations. So essentially we study an Ising model with a defect line but, unlike previous work where defect lines in Ising models were defined via weakened bonds, in the present case the defect line is due to mobile vacancies and hence involves additional entropy. In this way, by drawing phase diagrams, i.e., plots of the wetting critical temperature (Tw) versus the magnitude of the crystal field at the middle of the sample (DM), we observe curves of (first-) second-order wetting transitions for (small) high values of DM. Theses lines meet in tricritical wetting points, i.e., (Twtc,DMtc), which also depend on the magnitude of the surface magnetic fields. It is found that second-order wetting transitions satisfy the scaling theory for short-range interactions, while first-order ones do not exhibit hysteresis, provided that small samples are used, since fluctuations wash out hysteretic effects. Since hysteresis is observed in large samples, we performed extensive thermodynamic integrations in order to accurately locate the first-order transition points, and a rather good agreement is found by comparing such results with those obtained just by observing the jump of the order parameter in small samples.
publishDate 2014
dc.date.none.fl_str_mv 2014-08
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/11336/87959
Trobo, Marta Liliana; Albano, Ezequiel Vicente; Binder, Kurt; First-order and tricritical wetting transitions in the two-dimensional Ising model caused by interfacial pinning at a defect line; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 90; 2; 8-2014
1539-3755
CONICET Digital
CONICET
url http://hdl.handle.net/11336/87959
identifier_str_mv Trobo, Marta Liliana; Albano, Ezequiel Vicente; Binder, Kurt; First-order and tricritical wetting transitions in the two-dimensional Ising model caused by interfacial pinning at a defect line; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 90; 2; 8-2014
1539-3755
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://journals.aps.org/pre/abstract/10.1103/PhysRevE.90.022406
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.90.022406
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 American Physical Society
publisher.none.fl_str_mv American Physical Society
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 12.993085

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