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Biaxial Nematic Order in the Hard-boomerang Fluid

1998Journal article Restricted access
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dc.contributor.authorTeixeira, Paulo
dc.contributor.authorMASTERS, A. J.
dc.contributor.authorMULDER, B. M.
dc.date.accessioned2014-05-30T13:57:24Z
dc.date.available2014-05-30T13:57:24Z
dc.date.issued1998
dc.description.abstractWe consider a fluid of hard boomerangs, each composed of two hard spherocylinders joined at their ends at an angle Psi. The resulting particle is nonconvex and biaxial. The occurence of nematic order in such a system has been investigated using Straley's theory, which is a simplificaton of Onsager's second-virial treatment of long hard rods, and by bifurcation analysis. The excluded volume of two hard boomerangs has been approximated by the sum of excluded volumes of pairs of constituent spherocylinders, and the angle-dependent second-virial coefficient has been replaced by a low-order interpolating function. At the so-called Landau point, Psi(Landau)approximate to 107.4 degrees, the fluid undergoes a continuous transition from the isotropic to a biaxial nematic (B) phase. For Psi not equal Psi(Landau) ordering is via a first-order transition into a rod-like uniaxial nematic phase (N(+)) if Psi > Psi(Landau), or a plate-like uniaxial nematic (N(-)) phase if Psi < Psi(Landau). The B phase is separated from the N(+) and N(-) phases by two lines of continuous transitions meeting at the Landau point. This topology of the phase diagram is in agreement with previous studies of spheroplatelets and biaxial ellipsoids. We have checked the accuracy of our theory by performing numerical calculations of the angle-dependent second virial coefficient, which yields Psi(Landau)approximate to 110 degrees for very long rods, and Psi(Landau)approximate to 90 degrees for short rods. In the latter case, the I-N transitions occur at unphysically high packing fractions, reflecting the inappropriateness of the second-virial approximation in this limit.por
dc.identifier.citationTEIXEIRA, P. I. C.; MASTERS, A. J.; MULDER, B.M. - Biaxial Nematic Order in the Hard-boomerang Fluid. Molecular Crystals and Liquid Crystals Science and Techonology Section A-Molecular Crystals and Liquid Crystals. ISSN: 1058-725X. Vol. 323 (1998), p. 167-189.por
dc.identifier.issn1058-725X
dc.identifier.other10.1080/10587259808048440
dc.identifier.urihttp://hdl.handle.net/10400.21/3586
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherGordon Breach Publishingpor
dc.relation.publisherversionhttp://www.tandfonline.com/doi/abs/10.1080/.U4dIPYZJ6vwpor
dc.subjectBiaxial nematic phasepor
dc.subjectMolecular theorypor
dc.subjectOnsager approximationpor
dc.titleBiaxial Nematic Order in the Hard-boomerang Fluidpor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.conferencePlacePhiladelphiapor
oaire.citation.endPage189por
oaire.citation.startPage167por
oaire.citation.titleMolecular Crystals and Liquid Crystals Science and Techonology Section A-Molecular Crystals and Liquid Crystalspor
oaire.citation.volume323por
person.familyNameTeixeira
person.givenNamePaulo
person.identifier.ciencia-idB31A-0CBD-8AC4
person.identifier.orcid0000-0003-2315-2261
person.identifier.ridA-2682-2009
person.identifier.scopus-author-id7005895098
rcaap.rightsrestrictedAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublication35a012c6-2e8b-402f-9b82-065843fce9aa
relation.isAuthorOfPublication.latestForDiscovery35a012c6-2e8b-402f-9b82-065843fce9aa

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