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In this work, we investigate nonlocal effects ~associated with exponential interactions! on the fluctuation properties of liquid films that completely wet random rough surfaces. It is found that the potential form and effective range could have significant impact on the real space fluctuation properties. The rms interface amplitude shows a complex dependence as a function of the potential effective range b which is characterized by a maximum at length scales smaller than the liquid film thickness. Comparisons with results obtained within the Derjaguin approximation shows that the nonlocal effects are more pronounced for slowly decaying inter- actions. @S0163-1829~98!00820-0# Wetting of fluids on solid substrates has been an impor- tant topic of applied and fundamental research for more than a century. The complexity of the involved phenomena is rather cumbersome since wetting is sensitive to roughness and chemical contaminants of the solid substrates.1-4 Signifi- cant insight into the influence of surface roughness has been gained by studies performed within the so-called Derjaguin ~D! approximation.2-5 The D approximation accounts for re- placing the local disjoining pressure P d by that of a uniform film of thickness h(r)-z(r) @with z(r) and h(r) being, re- spectively, the substrate and liquid-vapor surface profile functions# for small substrate roughness amplitudes, and then linearizing the disjoining pressure around the average film thickness « on a flat surface. Nonlocal effects lead to strong ~exponential! damping of short-wavelength fluctuations and were taken into account in terms of a linear approach for random substrate roughness, while nonlinear contributions were investigated for periodi- cally corrugated surfaces.1 Generally, these effects are ex-

Effects on the fluid interface fluctuations due to the interaction potential form: Exponential interactions