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Motivated by the need for greater understanding of systems that involveinterfaces between a nematic liquid crystal, a solid substrate, and a passivegas that includes nematic--substrate--gas three-phase contact lines, we analysea two-dimensional static ridge of nematic resting on a solid substrate in anatmosphere of passive gas. Specifically, we obtain the first completetheoretical description for this system, including nematic Young andYoung--Laplace equations, and then, under the assumption that anchoringbreaking occurs in regions adjacent to the contact lines, we use the nematicYoung equations to determine the continuous and discontinuous transitions thatoccur between the equilibrium states of complete wetting, partial wetting, andcomplete dewetting. In particular, in addition to continuous transitionsanalogous to those that occur in the classical case of an isotropic liquid, wefind a variety of discontinuous transitions, as well as contact-anglehysteresis, and regions of parameter space in which there exist multiplepartial wetting states that do not occur in the classical case.

Young and Young--Laplace equations for a static ridge of nematic liquid crystal, and transitions between equilibrium states