Ml. Lyra et al., EFFECTS OF SURFACE ENHANCEMENT ON FLUCTUATION-INDUCED INTERACTIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(5), 1993, pp. 3456-3462
We examine the fluctuation-induced interaction energy DELTAf between t
he surfaces of a layered hexatic film within a quadratic-functional-in
tegral approach. Both discrete and continuum formulations are studied.
We find large corrections to the asymptotic behavior DELTAf(l) is-pro
portional-to l-2 for finite l, where l is the film thickness. A small
field becomes relevant beyond a length scale xi(h), while an enhanced
surface Frank constant is irrelevant above a length xi(K). Possible re
levance of these results to recent experiments on layer-by-layer surfa
ce ordering in liquid-crystal films is discussed.