Phase behavior of the hard-sphere Maier-Saupe fluid under spatial confinement

The Maier-Saupe hard-sphere fluid is one of the simplest models that accounts for the isotropic-nematic transition characteristic of liquid crystal phases. At low temperatures the model is known to present a gas-liquid-like transition with a large difference between the densities of the coexistence...

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Detalles Bibliográficos
Autores: Almarza, Noé G., Martín, C., Lomba, Enrique
Tipo de recurso: artículo
Fecha de publicación:2009
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/17855
Acceso en línea:http://hdl.handle.net/10261/17855
Access Level:acceso abierto
Palabra clave:Monte Carlo
Liquid Crystals
Maier-Saupe
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spelling Phase behavior of the hard-sphere Maier-Saupe fluid under spatial confinementAlmarza, Noé G.Martín, C.Lomba, EnriqueMonte CarloLiquid CrystalsMaier-SaupeThe Maier-Saupe hard-sphere fluid is one of the simplest models that accounts for the isotropic-nematic transition characteristic of liquid crystal phases. At low temperatures the model is known to present a gas-liquid-like transition with a large difference between the densities of the coexistence phases, whereas at higher temperature the transition becomes a weak first-order transition resembling the typical order-disorder (nematic-isotropic) phase change of liquid crystals. Spatial dimensionality directly conditions the character of the orientational phase change (i.e., the high temperature transition), that goes from a first-order transition in the purely three-dimensional case, to a Berezinskii-Kosterlitz-Thouless-like continuous transition which occurs when the three dimensional Maier-Saupe spins are constrained to lie on a plane. In the latter instance, the ordered phase is not endowed with true long-range order. In this work we investigate how the continuous transition transforms into a true first-order phase change, by analyzing the phase behavior of a system of three dimensional Maier-Saupe hard spheres confined between two parallel plates, with separations ranging from the quasi-two-dimensional regime to the bulk three-dimensional limit. Our results indicate that spatial confinement in one direction induces the change from first order to a continuous transition with a corresponding decrease of the transition temperatures. As to the gas-liquid transition, the estimated “critical” temperatures and densities also decrease as the fluid is confined, in agreement with previous results for other simple systems.Dirección General de Investigación Científica y Técnica: MAT2007-65711-C04-04 Dirección General de Universidades e Investigación de la Comunidad de Madrid under Grant No. S0505/ESP/0299 and Program MOSSNOHO-CMPeer reviewedAmerican Physical Society200920092009info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_65011034517 bytesapplication/pdfhttp://hdl.handle.net/10261/17855reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttp://link.aps.org/doi/10.1103/PhysRevE.80.031501info:eu-repo/semantics/openAccessoai:digital.csic.es:10261/178552026-05-22T06:33:51Z
dc.title.none.fl_str_mv Phase behavior of the hard-sphere Maier-Saupe fluid under spatial confinement
title Phase behavior of the hard-sphere Maier-Saupe fluid under spatial confinement
spellingShingle Phase behavior of the hard-sphere Maier-Saupe fluid under spatial confinement
Almarza, Noé G.
Monte Carlo
Liquid Crystals
Maier-Saupe
title_short Phase behavior of the hard-sphere Maier-Saupe fluid under spatial confinement
title_full Phase behavior of the hard-sphere Maier-Saupe fluid under spatial confinement
title_fullStr Phase behavior of the hard-sphere Maier-Saupe fluid under spatial confinement
title_full_unstemmed Phase behavior of the hard-sphere Maier-Saupe fluid under spatial confinement
title_sort Phase behavior of the hard-sphere Maier-Saupe fluid under spatial confinement
dc.creator.none.fl_str_mv Almarza, Noé G.
Martín, C.
Lomba, Enrique
author Almarza, Noé G.
author_facet Almarza, Noé G.
Martín, C.
Lomba, Enrique
author_role author
author2 Martín, C.
Lomba, Enrique
author2_role author
author
dc.subject.none.fl_str_mv Monte Carlo
Liquid Crystals
Maier-Saupe
topic Monte Carlo
Liquid Crystals
Maier-Saupe
description The Maier-Saupe hard-sphere fluid is one of the simplest models that accounts for the isotropic-nematic transition characteristic of liquid crystal phases. At low temperatures the model is known to present a gas-liquid-like transition with a large difference between the densities of the coexistence phases, whereas at higher temperature the transition becomes a weak first-order transition resembling the typical order-disorder (nematic-isotropic) phase change of liquid crystals. Spatial dimensionality directly conditions the character of the orientational phase change (i.e., the high temperature transition), that goes from a first-order transition in the purely three-dimensional case, to a Berezinskii-Kosterlitz-Thouless-like continuous transition which occurs when the three dimensional Maier-Saupe spins are constrained to lie on a plane. In the latter instance, the ordered phase is not endowed with true long-range order. In this work we investigate how the continuous transition transforms into a true first-order phase change, by analyzing the phase behavior of a system of three dimensional Maier-Saupe hard spheres confined between two parallel plates, with separations ranging from the quasi-two-dimensional regime to the bulk three-dimensional limit. Our results indicate that spatial confinement in one direction induces the change from first order to a continuous transition with a corresponding decrease of the transition temperatures. As to the gas-liquid transition, the estimated “critical” temperatures and densities also decrease as the fluid is confined, in agreement with previous results for other simple systems.
publishDate 2009
dc.date.none.fl_str_mv 2009
2009
2009
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/17855
url http://hdl.handle.net/10261/17855
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv http://link.aps.org/doi/10.1103/PhysRevE.80.031501
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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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:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
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