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Maier--Saupe model for a mixture of uniaxial and biaxial molecules | | E. S. Nascimento
; E. F. Henriques
; A. P. Vieira
; S. R. Salinas
; | | Date: |
14 Jul 2015 | | Abstract: | We introduce shape fluctuations in a liquid-crystalline system by considering
an elementary Maier--Saupe lattice model for a mixture of uniaxial and biaxial
molecules. Shape variables are treated in the annealed (thermalized) limit. We
analyze the thermodynamic properties of this system in terms of temperature
$T$, concentration $c$ of intrinsically biaxial molecules, and a parameter
$Delta$ associated with the degree of biaxiality of the molecules. At the
mean-field level, we use standard techniques of statistical mechanics to draw
global phase diagrams, which are shown to display a rich structure, including
uniaxial and biaxial nematic phases, a reentrant ordered region, and many
distinct multicritical points. Also, we use the formalism to write an expansion
of the free energy in order to make contact with the Landau--de Gennes theory
of nematic phase transitions. | | Source: | arXiv, 1507.3861 | | Services: | Forum | Review | PDF | Favorites | |
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