P. Ziherl et al., COLLECTIVE FLUCTUATIONS AND WETTING IN NEMATIC LIQUID-CRYSTALS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(1), 1998, pp. 602-609
The role of wetting in the dynamics of collective orientational fluctu
ations in confined nematic liquid crystals is examined by analyzing th
e spectrum of normal modes in planar geometry bounded either by disord
ering or ordering substrates. The heterophase nature of the equilibriu
m configurations occurring in the vicinity of the nematic-isotropic ph
ase transition gives rise to a localized slow mode, which corresponds
to fluctuations of thickness of the (dis)ordered boundary layer and be
comes soft if the wetting is complete. In addition, a few modes restri
cted to the boundary layer-director modes in case of ordering substrat
e, and biaxial modes in case of disordering substrate-also exhibit pre
transitional slowdown provided that the surface interaction is strong
enough. Analogous behavior of fluctuations is expected in other wettin
g geometries, e.g., in the case of a substrate-stabilized smectic boun
dary layer in nematic and isotropic samples.