Nematic-wall surface tension for perfectly aligned hard linear molecules

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Abstract
We study a system of hard elongated molecules near a hard wall, placed in a strong bulk ordering field. The field fixes the tilt angle ϑ t and increases the order parameter Q. We show that in the case of perfect alignment (Q = 1) the nematic-wall surface tension (γ) does not have the usual form of a polynomial in cos2 ϑ t . Using a simple local approximation for the one-particle distribution function we find an analytical expression for γ(ϑ t ) for the system of hard cylinders and also calculate γ(ϑ t ) numerically for the system of hard spherocylinders.