Finite size effects on the phase diagram of a binary mixture confined between competing walls

Autores
Müller, Marcus; Binder, Kurt; Albano, Ezequiel Vicente
Año de publicación
2000
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A symmetrical binary mixture AB that exhibits a critical temperature Tcb of phase separation into an A- and a B-rich phase in the bulk is considered in a geometry confined between two parallel plates a distance D apart. It is assumed that one wall preferentially attracts A while the other wall preferentially attracts B with the same strength (“competing walls”). In the limit D → ∞, one then may have a wetting transition of first-order at a temperature Tw, from which prewetting lines extend into the one phase region both of the A- and the B-rich phase. It is discussed how this phase diagram gets distorted due to the finiteness of D: the phase transition at Tcb immediately disappears for D < ∞ due to finite size rounding, and the phase diagram instead exhibit two two-phase coexistence regions in a temperature range Ttrip < T < Tc₁ = Tc₂. In the limit D → ∞ Tc₁,Tc₂ become the prewetting critical points and Ttrip →Tw. For small enough D it may occur that at a tricritical value Dt the temperatures Tc₁ = Tc₂ and Ttrip merge, and then for D < Dt there is a single unmixing critical point as in the bulk but with Tc(D) near Tw. As an example, for the experimentally relevant case of a polymer mixture a phase diagram with two unmixing critical points is calculated explicitly from self-consistent field methods.
Facultad de Ciencias Exactas
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
Materia
Ciencias Exactas
Física
binary mixture
phase diagram
competing walls
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/129677

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network_name_str SEDICI (UNLP)
spelling Finite size effects on the phase diagram of a binary mixture confined between competing wallsMüller, MarcusBinder, KurtAlbano, Ezequiel VicenteCiencias ExactasFísicabinary mixturephase diagramcompeting wallsA symmetrical binary mixture AB that exhibits a critical temperature T<sub>cb</sub> of phase separation into an A- and a B-rich phase in the bulk is considered in a geometry confined between two parallel plates a distance D apart. It is assumed that one wall preferentially attracts A while the other wall preferentially attracts B with the same strength (“competing walls”). In the limit D → ∞, one then may have a wetting transition of first-order at a temperature T<sub>w</sub>, from which prewetting lines extend into the one phase region both of the A- and the B-rich phase. It is discussed how this phase diagram gets distorted due to the finiteness of D: the phase transition at T<sub>cb</sub> immediately disappears for D < ∞ due to finite size rounding, and the phase diagram instead exhibit two two-phase coexistence regions in a temperature range T<sub>trip</sub> < T < T<sub>c</sub>₁ = T<sub>c</sub>₂. In the limit D → ∞ T<sub>c</sub>₁,T<sub>c</sub>₂ become the prewetting critical points and T<sub>trip</sub> →T<sub>w</sub>. For small enough D it may occur that at a tricritical value D<sub>t</sub> the temperatures T<sub>c</sub>₁ = T<sub>c</sub>₂ and T<sub>trip</sub> merge, and then for D < D<sub>t</sub> there is a single unmixing critical point as in the bulk but with T<sub>c</sub>(D) near T<sub>w</sub>. As an example, for the experimentally relevant case of a polymer mixture a phase diagram with two unmixing critical points is calculated explicitly from self-consistent field methods.Facultad de Ciencias ExactasInstituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas2000-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf188-194http://sedici.unlp.edu.ar/handle/10915/129677enginfo:eu-repo/semantics/altIdentifier/issn/0378-4371info:eu-repo/semantics/altIdentifier/arxiv/cond-mat/0005060info:eu-repo/semantics/altIdentifier/doi/10.1016/s0378-4371(99)00525-7info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:31:13Zoai:sedici.unlp.edu.ar:10915/129677Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:31:13.955SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Finite size effects on the phase diagram of a binary mixture confined between competing walls
title Finite size effects on the phase diagram of a binary mixture confined between competing walls
spellingShingle Finite size effects on the phase diagram of a binary mixture confined between competing walls
Müller, Marcus
Ciencias Exactas
Física
binary mixture
phase diagram
competing walls
title_short Finite size effects on the phase diagram of a binary mixture confined between competing walls
title_full Finite size effects on the phase diagram of a binary mixture confined between competing walls
title_fullStr Finite size effects on the phase diagram of a binary mixture confined between competing walls
title_full_unstemmed Finite size effects on the phase diagram of a binary mixture confined between competing walls
title_sort Finite size effects on the phase diagram of a binary mixture confined between competing walls
dc.creator.none.fl_str_mv Müller, Marcus
Binder, Kurt
Albano, Ezequiel Vicente
author Müller, Marcus
author_facet Müller, Marcus
Binder, Kurt
Albano, Ezequiel Vicente
author_role author
author2 Binder, Kurt
Albano, Ezequiel Vicente
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
binary mixture
phase diagram
competing walls
topic Ciencias Exactas
Física
binary mixture
phase diagram
competing walls
dc.description.none.fl_txt_mv A symmetrical binary mixture AB that exhibits a critical temperature T<sub>cb</sub> of phase separation into an A- and a B-rich phase in the bulk is considered in a geometry confined between two parallel plates a distance D apart. It is assumed that one wall preferentially attracts A while the other wall preferentially attracts B with the same strength (“competing walls”). In the limit D → ∞, one then may have a wetting transition of first-order at a temperature T<sub>w</sub>, from which prewetting lines extend into the one phase region both of the A- and the B-rich phase. It is discussed how this phase diagram gets distorted due to the finiteness of D: the phase transition at T<sub>cb</sub> immediately disappears for D < ∞ due to finite size rounding, and the phase diagram instead exhibit two two-phase coexistence regions in a temperature range T<sub>trip</sub> < T < T<sub>c</sub>₁ = T<sub>c</sub>₂. In the limit D → ∞ T<sub>c</sub>₁,T<sub>c</sub>₂ become the prewetting critical points and T<sub>trip</sub> →T<sub>w</sub>. For small enough D it may occur that at a tricritical value D<sub>t</sub> the temperatures T<sub>c</sub>₁ = T<sub>c</sub>₂ and T<sub>trip</sub> merge, and then for D < D<sub>t</sub> there is a single unmixing critical point as in the bulk but with T<sub>c</sub>(D) near T<sub>w</sub>. As an example, for the experimentally relevant case of a polymer mixture a phase diagram with two unmixing critical points is calculated explicitly from self-consistent field methods.
Facultad de Ciencias Exactas
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
description A symmetrical binary mixture AB that exhibits a critical temperature T<sub>cb</sub> of phase separation into an A- and a B-rich phase in the bulk is considered in a geometry confined between two parallel plates a distance D apart. It is assumed that one wall preferentially attracts A while the other wall preferentially attracts B with the same strength (“competing walls”). In the limit D → ∞, one then may have a wetting transition of first-order at a temperature T<sub>w</sub>, from which prewetting lines extend into the one phase region both of the A- and the B-rich phase. It is discussed how this phase diagram gets distorted due to the finiteness of D: the phase transition at T<sub>cb</sub> immediately disappears for D < ∞ due to finite size rounding, and the phase diagram instead exhibit two two-phase coexistence regions in a temperature range T<sub>trip</sub> < T < T<sub>c</sub>₁ = T<sub>c</sub>₂. In the limit D → ∞ T<sub>c</sub>₁,T<sub>c</sub>₂ become the prewetting critical points and T<sub>trip</sub> →T<sub>w</sub>. For small enough D it may occur that at a tricritical value D<sub>t</sub> the temperatures T<sub>c</sub>₁ = T<sub>c</sub>₂ and T<sub>trip</sub> merge, and then for D < D<sub>t</sub> there is a single unmixing critical point as in the bulk but with T<sub>c</sub>(D) near T<sub>w</sub>. As an example, for the experimentally relevant case of a polymer mixture a phase diagram with two unmixing critical points is calculated explicitly from self-consistent field methods.
publishDate 2000
dc.date.none.fl_str_mv 2000-05
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/129677
url http://sedici.unlp.edu.ar/handle/10915/129677
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0378-4371
info:eu-repo/semantics/altIdentifier/arxiv/cond-mat/0005060
info:eu-repo/semantics/altIdentifier/doi/10.1016/s0378-4371(99)00525-7
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
188-194
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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