Al. Alexeionescu et al., NEMATIC SURFACE TRANSITIONS INDUCED BY ANCHORING COMPETITION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(1), 1996, pp. 529-535
The interface properties of a nematic Liquid crystal in contact with a
solid substrate are investigated by considering the effect of a posit
ion dependent external field on a short range nematic-substrate intera
ction. Such a field could be due, for instance, to the van der Waals i
nteraction between the substrate and the nematic, or to the electrosta
tic interaction due to selective ion adsorption. In all cases a transi
tion from homeotropic to planar orientation is expected. This phenomen
on is interpreted in terms of different aligning effects, by invoking
the competition between a stabilizing short range term and a destabili
zing long range term. We show that, according to the value of the shor
t range anchoring energy strength, the stable nematic state in the pre
sence of the position dependent external field can be homeotropic, dis
torted, or planar. The thresholds and the order of the corresponding t
ransitions are obtained. Temperature induced surface transitions can b
e also interpreted in this framework.