Biaxial nematic phase in the Maier-Saupe model for a mixture of discs and cylinders

Details Biaxial nematic phase in the Maier-Saupe model for a mixture of discs and cylinders Biaxial nematic phase in the Maier-Saupe model for a mixture of discs and cylinders

2011-10-25

arxiv.org/abs/1110.5616v1

Physics

Condensed Matter

Statistical Mechanics

21 pages, 3 figures

Scientific paper

We analyze the global phase diagram of a Maier-Saupe lattice model with the inclusion of disorder degrees of freedom to mimic a mixture of oblate and prolate molecules (discs and cylinders). In the neighborhood of a Landau multicritical point, solutions of the statistical problem can be written as a Landau-de Gennes expansion for the free energy. If the disorder degrees of freedom are quenched, we confirm the existence of a biaxial nematic strucure. If orientational and disorder degrees of freedom are allowed to thermalize, this biaxial solution becomes thermodynamically unstable. Also, we use a two-temperature formalism to mimic the presence of two distinct relaxation times, and show that a slight departure from complete thermalization is enough to stabilize a biaxial nematic phase.

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