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

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 whi...

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Autores principales: Müller, Marcus, Binder, Kurt, Albano, Ezequiel Vicente
Formato: Articulo
Lenguaje:Inglés
Publicado: 2000
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/129677
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id I19-R120-10915-129677
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
binary mixture
phase diagram
competing walls
spellingShingle Ciencias Exactas
Física
binary mixture
phase diagram
competing walls
Müller, Marcus
Binder, Kurt
Albano, Ezequiel Vicente
Finite size effects on the phase diagram of a binary mixture confined between competing walls
topic_facet Ciencias Exactas
Física
binary mixture
phase diagram
competing walls
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.
format Articulo
Articulo
author Müller, Marcus
Binder, Kurt
Albano, Ezequiel Vicente
author_facet Müller, Marcus
Binder, Kurt
Albano, Ezequiel Vicente
author_sort Müller, Marcus
title Finite size effects on the phase diagram of a binary mixture confined between 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
publishDate 2000
url http://sedici.unlp.edu.ar/handle/10915/129677
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