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Master's Dissertation
DOI
10.11606/D.43.1990.tde-19062015-161203
Document
Author
Full name
Ricardo Andreas Sauerwein
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1990
Supervisor
Committee
Oliveira, Mario Jose de (President)
Figueiredo Neto, Antonio Martins
Pontuschka, Walter Maigon
Title in Portuguese
Modelo discreto para cristais líquidos biaxiais
Keywords in Portuguese
Fluidos anisotrópicos
Modelos estatísticos
Abstract in Portuguese
A partir de considerações sobre interações entre pares de objetos dependentes apenas de suas orientações relativas, desenvolvemos um modelo discreto para cristais líquidos biaxiais. Representamos estes sistemas por um conjunto de partículas biaxiais localizadas nos sítios de uma rede cristalina e que se orientam somente ao longo dos três eixos cartesianos. O diagrama de fases, obtido na aproximação de campo médio, apresenta uma fase nemática biaxial, duas fases nemáticas uniaxiais, além da fase isotrópica. Estas fases se encontram em um ponto multicrítico em cuja vizinhança fazemos a expansão de Landau da Energia Livre. Finalmente analisamos a adição de um campo externo favorável ao ordenamento nemático uniaxial.
Title in English
Discrete model for biaxial liquid cryst
Keywords in English
Anisotropic fluids
Statistical models
Abstract in English
From considerations about the pair interaction of objects depending only on their relative orientations, we develop a discrete model for biaxial liquid crystals. These systems are represented by a set of biaxial particles localized on the sites of a crystal lattice and oriented only along the three Cartesian axes. The phase diagram, obtained in a mean field approximation, displays a biaxial nematic phase, two uniaxial nematic phases, beside the isotropic phase. These phases meet on a multicritical point about which we make the Landau expansion of the free energy. Finally, we analyse the case where an external field is applied to favour the uniaxial nematic ordering.
 
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Sauerwein_1990.pdf (4.49 Mbytes)
Publishing Date
2015-06-22
 
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