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Close to sinusoidal substrates, simple fluids may undergo a fillingtransition, in which the fluid passes from a dry to a filled state, where theinterface remains unbent but bound to the substrate. Increasing the surfacefield, the interface unbinds and a wetting transition occurs. We show that thisdouble-transition sequence may be strongly modified in the case of orderedfluids, such as nematic liquid crystals. Depending on the preferred orientationof the nematic molecules at the structured substrate and at theisotropic-nematic interface, the filling transition may not exist, and thefluid passes directly from a dry to a complete-wet state, with the interfacefar from the substrate. More interestingly, in other situations, the completewetting transition may be prevented, and the fluid passes from a dry to afilled state, and remains in this configuration, with the interface alwaysattached to the substrate, even for very large surface fields. Both transitionsare only observed for a same substrate in a narrow range of amplitudes.

Filling and wetting transitions of nematic liquid crystals on sinusoidal substrates