The wetting transition in a two-dimensional Ising model with a free rough s
urface at which a boundary magnetic field acts is studied using Monte Carlo
simulations. In order to generate such rough surfaces we have used a simpl
e one-dimensional solid-on-solid model. Apart from the basic thermodynamic
quantities, such as susceptibilities, total average magnetizations, heat ca
pacities, we have also recorded two magnetization distribution functions. T
he final results have been obtained by averaging simulation data over sever
al replicas of the system of the same surface roughness. It has been shown
that the wetting transition is located at a lower surface field than in the
model with flat surfaces and that the critical value of the surface field
decreases when the surface roughness becomes higher. (C) 2000 Elsevier Scie
nce B.V. All rights reserved.