Corrections to the Kelvin equation for long-range boundary fields

The properties of a simple fluid, or Ising magnet, confined in an Lx infinity geometry, are studied by means of numerical density-matrix renormalization-group techniques. Whereas the particle-particle interactions are short ranged, the wall-particle interactions can be long ranged. Using a few complementary criteria the wetting transition line has been found for boundary fields with different ranges (including a marginal case) and its scaling form has been analyzed. A main goal was to analyze the influence of wetting on the scaling of the Kelvin equation, focusing on the leading correction term. We have found that at complete wetting the larger the range of the boundary fields, the smaller the region of anomalous corrections of type 1/L-4/3.