Maier-Saupe model for a mixture of uniaxial and biaxial molecules

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
E S NascimentoS R Salinas

Abstract

We introduce shape variations 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 Δ 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.

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Citations

Apr 18, 2021·Physical Review. E·Cícero T G Dos SantosRoberto F S Andrade

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