The Landau free energy of hard ellipses obtained from microscopic simulations
作者： Alan M. Luo , Leonard M. C. Sagis , Patrick Ilg
DOI: 10.1063/1.4868988
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摘要: Systems of two-dimensional hard ellipses varying aspect ratios and packing fractions are studied by Monte Carlo simulations in the generalised canonical ensemble. From this microscopic model, we extract a coarse-grained macroscopic Landau-de Gennes free energy as function fraction orientational order parameter. We separate into ideal entropy non-interacting spins an excess associated with excluded volume interactions. further explore isotropic-nematic phase transition using our empirical expression for find that nature is continuous studied.
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