# Multiscale approach to nematic liquid crystals via statistical field theory.

@article{Lu2017MultiscaleAT, title={Multiscale approach to nematic liquid crystals via statistical field theory.}, author={Bing-Sui Lu}, journal={Physical review. E}, year={2017}, volume={96 2-1}, pages={ 022709 } }

We propose an approach to a multiscale problem in the theory of thermotropic uniaxial nematics based on the method of statistical field theory. This approach enables us to relate the coefficients A, B, C, L_{1}, and L_{2} of the Landau-de Gennes free energy for the isotropic-nematic phase transition to the parameters of a molecular model of uniaxial nematics, which we take to be a lattice gas model of nematogenic molecules interacting via a short-ranged potential. We obtain general constraints…

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