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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/129677
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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 |
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