G. Palasantzas et G. Backx, Roughness-induced fluid interface fluctuations due to polar and apolar interactions, PHYS REV E, 59(1), 1999, pp. 1259-1262
We investigate substrate roughness-induced fluctuations on liquid films in
the presence of polar (exponential) and apolar (van der Waals) interactions
in the complete wetting regime. The liquid/vapor interface roughness ampli
tude sigma(w) increases rapidly with film thickness epsilon above a critica
l thickness epsilon(c) for which the film is stable (or it does not rupture
due to presence of polar interactions), and it reaches a maximum at a thic
kness epsilon(m) slightly larger than epsilon(c) if polar and apolar compon
ents are of comparable strength and for small polar potential ranges. As th
e strength of the polar interaction decreases with respect to the apolar; b
ehavior characteristic of that of apolar interactions within the Derjaguin
approximation is recovered for moderate film thicknesses (epsilon > epsilon
(m)); sigma(w)proportional to zeta(-2) with zeta the healing length. [S1063
-651X(99)11701-X].