Nematic alignment at a solid substrate: The model of hard spherocylinders near a hard wall

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Abstract
A system of hard spherocylinders near an impenetrable wall is studied in the low-density Onsager approximation. Using a simple local approximation for the one-particle distribution function, we show that the preferred orientation of the nematic director is parallel to the wall. The density and order-parameter profiles are calculated. The nematic main order parameter Q is enhanced near the wall even though the density is reduced. The wall-induced biaxiality P is small in the interfacial region. We find that wetting by the nematic phase should occur at the nematic-isotropic coexistence.