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Enhanced stability of the tetratic phase due to clustering

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)es
dc.contributor.authorMartínez-Ratón, Yuri
dc.contributor.authorVelasco, Enrique
dc.date.accessioned2010-02-23T10:59:30Z
dc.date.available2010-02-23T10:59:30Z
dc.date.issued2009-01
dc.description9 pages, 10 figures.-- PACS nrs.: 61.30.Cz, 61.30.Hn, 61.20.Gy.-- ArXiv pre-print available at: http://arxiv.org/abs/0809.4200
dc.description.abstractWe show that the relative stability of the nematic tetratic phase with respect to the usual uniaxial nematic phase can be greatly enhanced by clustering effects. Two-dimensional rectangles of aspect ratio κ interacting via hard interactions are considered, and the stability of the two nematic phases (uniaxial and tetratic) is examined using an extended scaled-particle theory applied to a polydispersed fluid mixture of n species. Here the ith species is associated with clusters of i rectangles, with clusters defined as stacks of rectangles containing approximately parallel rectangles, with frozen internal degrees of freedom. The theory assumes an exponential cluster size distribution (an assumption fully supported by Monte Carlo simulations and by a simple chemical-reaction model), with fixed value of the second moment. The corresponding area distribution presents a shoulder, and sometimes even a well-defined peak, at cluster sizes approximately corresponding to square shape (i.e., i ≃ κ), meaning that square clusters have a dominant contribution to the free energy of the hard-rectangle fluid. The theory predicts an enhanced region of stability of the tetratic phase with respect to the standard scaled-particle theory, much closer to simulation and to experimental results, demonstrating the importance of clustering in this fluid.
dc.description.sponsorshipY.M.-R. gratefully acknowledges financial support from Ministerio de Educación y Ciencia (Spain) under a Ramón y Cajal research contract and a MOSAICO grant. This work has been partly financed by Grant Nos. FIS2005-05243-C02-01 and FIS2007-65869-C03-01, also from Ministerio de Educación y Ciencia, and Grant No. S-0505/ESP-0299 from Comunidad Autónoma de Madrid (Spain).
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationPhysical Review E 79, 011711 (2009)
dc.identifier.doi10.1103/PhysRevE.79.011711
dc.identifier.issn1539-3755
dc.identifier.urihttps://hdl.handle.net/10016/6981
dc.language.isoeng
dc.publisherThe American Physical Society
dc.relation.publisherversionhttp://dx.doi.org/10.1103/PhysRevE.79.011711
dc.rights© The American Physical Society
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.other[PACS] Molecular and microscopic models and theories of liquid crystal structure
dc.subject.other[PACS] Surface phenomena: alignment, anchoring, anchoring transitions, surface-induced layering, surface-induced ordering, wetting, prewetting transitions, and wetting transitions
dc.subject.other[PACS] Theory and models of liquid structure
dc.titleEnhanced stability of the tetratic phase due to clustering
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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