G. Barbero et Lr. Evangelista, PSEUDOMOLECULAR MODELS FOR NEMATIC LIQUID-CRYSTALS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(5), 1997, pp. 6189-6192
The limits of the pseudomolecular approach to evaluate the elastic pro
perties of nematic liquid crystals are critically analyzed. We discuss
the importance of the uniformly convergent series entering into this
description. If these series are not uniformly convergent, the elastic
constants evaluated in this manner are meaningless. A special kind of
mixing of Maier-Saupe and Nehring-Saupe interaction laws is analyzed.
We show that the splay-bend elastic constant has a nonmonotonic behav
ior with respect to the mixing factor. This result indicates that the
subsurface deformations, if any, are not only due to the splay-bend te
rm.